## Engage NY Eureka Math 5th Grade Module 3 Lesson 14 Answer Key

### Eureka Math Grade 5 Module 3 Lesson 14 Sprint Answer Key

A

Make Larger Units

Question 1.

\(\frac{2}{4}\) =

Answer:

\(\frac{2}{4}\) = \(\frac{2 × 2}{4 × 2}\) = \(\frac{4}{8}\)

Explanation :

Multiply numerator and denominator by 2 to make the given fraction into a bigger fraction .

Question 2.

\(\frac{2}{6}\) =

Answer:

\(\frac{2}{6}\) = \(\frac{2 × 2}{6 × 2}\) = \(\frac{4}{12}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 3.

\(\frac{2}{8}\) =

Answer:

\(\frac{2}{8}\) = \(\frac{2 × 2}{8 × 2}\) = \(\frac{4}{16}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 4.

\(\frac{5}{10}\) =

Answer:

\(\frac{5}{10}\) = \(\frac{5 × 2}{10 × 2}\) = \(\frac{10}{20}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 5.

\(\frac{5}{15}\) =

Answer:

\(\frac{5}{15}\) = \(\frac{5 × 2}{15 × 2}\) = \(\frac{10}{30}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 6.

\(\frac{5}{20}\) =

Answer:

\(\frac{5}{20}\) = \(\frac{5 × 2}{20 × 2}\) = \(\frac{10}{40}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 7.

\(\frac{4}{8}\) =

Answer:

\(\frac{4}{8}\) = \(\frac{4 × 2}{8 × 2}\) = \(\frac{8}{16}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 8.

\(\frac{4}{12}\) =

Answer:

\(\frac{4}{12}\) = \(\frac{4 × 2}{12 × 2}\) = \(\frac{8}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 9.

\(\frac{4}{16}\) =

Answer:

\(\frac{4}{16}\) = \(\frac{4 × 2}{16 × 2}\) = \(\frac{8}{32}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 10.

\(\frac{3}{6}\) =

Answer:

\(\frac{3}{6}\) = \(\frac{3 × 2}{6 × 2}\) = \(\frac{6}{12}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 11.

\(\frac{3}{9}\) =

Answer:

\(\frac{3}{9}\) = \(\frac{3 × 2}{9 × 2}\) = \(\frac{6}{18}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 12.

\(\frac{3}{12}\) =

Answer:

\(\frac{3}{12}\) = \(\frac{3 × 2}{12 × 2}\) = \(\frac{6}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 13.

\(\frac{4}{6}\) =

Answer:

\(\frac{4}{6}\) = \(\frac{4 × 2}{6 × 2}\) = \(\frac{8}{12}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 14.

\(\frac{6}{12}\) =

Answer:

\(\frac{6}{12}\) = \(\frac{6 × 2}{12 × 2}\) = \(\frac{12}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 15.

\(\frac{6}{18}\) =

Answer:

\(\frac{6}{8}\) = \(\frac{6 × 2}{8 × 2}\) = \(\frac{12}{16}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 16.

\(\frac{6}{30}\) =

Answer:

\(\frac{6}{30}\) = \(\frac{6 × 2}{30 × 2}\) = \(\frac{12}{60}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 17.

\(\frac{6}{9}\) =

Answer:

\(\frac{6}{9}\) = \(\frac{6 × 2}{9 × 2}\) = \(\frac{12}{18}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 18.

\(\frac{7}{14}\) =

Answer:

\(\frac{7}{14}\) = \(\frac{7 × 2}{14 × 2}\) = \(\frac{14}{28}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 19.

\(\frac{7}{21}\) =

Answer:

\(\frac{7}{21}\) = \(\frac{7 × 2}{21 × 2}\) = \(\frac{14}{42}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 20.

\(\frac{7}{42}\) =

Answer:

\(\frac{7}{42}\) = \(\frac{7 × 2}{42 × 2}\) = \(\frac{14}{84}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 21.

\(\frac{8}{12}\) =

Answer:

\(\frac{8}{12}\) = \(\frac{8 × 2}{12 × 2}\) = \(\frac{16}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 22.

\(\frac{9}{18}\) =

Answer:

\(\frac{9}{18}\) = \(\frac{9 × 2}{18 × 2}\) = \(\frac{18}{36}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 23.

\(\frac{9}{27}\) =

Answer:

\(\frac{9}{18}\) = \(\frac{9 × 2}{27 × 2}\) = \(\frac{18}{54}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 24.

\(\frac{2}{4}\) =

Answer:

\(\frac{2}{4}\) = \(\frac{2 × 2}{4 × 2}\) = \(\frac{4}{8}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 25.

\(\frac{8}{12}\) =

Answer:

\(\frac{8}{12}\) = \(\frac{8 × 2}{12 × 2}\) = \(\frac{16}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 26.

\(\frac{8}{16}\) =

Answer:

\(\frac{8}{16}\) = \(\frac{8 × 2}{16 × 2}\) = \(\frac{16}{32}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 27.

\(\frac{8}{24}\) =

Answer:

\(\frac{8}{24}\) = \(\frac{8 × 2}{24 × 2}\) = \(\frac{16}{48}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 28.

\(\frac{8}{64}\) =

Answer:

\(\frac{8}{64}\) = \(\frac{8 × 2}{64 × 2}\) = \(\frac{16}{128}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 29.

\(\frac{12}{18}\) =

Answer:

\(\frac{12}{18}\) = \(\frac{12 × 2}{18 × 2}\) = \(\frac{24}{36}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 30.

\(\frac{12}{16}\) =

Answer:

\(\frac{12}{16}\) = \(\frac{12 × 2}{16 × 2}\) = \(\frac{24}{32}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 31.

\(\frac{9}{12}\) =

Answer:

\(\frac{9}{12}\) = \(\frac{9 × 2}{12 × 2}\) = \(\frac{18}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 32.

\(\frac{6}{8}\) =

Answer:

\(\frac{6}{8}\) = \(\frac{6 × 2}{8 × 2}\) = \(\frac{12}{16}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 33.

\(\frac{10}{12}\) =

Answer:

\(\frac{10}{12}\) = \(\frac{10 × 2}{12 × 2}\) = \(\frac{20}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 34.

\(\frac{15}{18}\) =

Answer:

\(\frac{15}{18}\) = \(\frac{15 × 2}{18 × 2}\) = \(\frac{30}{36}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 35.

\(\frac{8}{10}\) =

Answer:

\(\frac{8}{10}\) = \(\frac{8 × 2}{10 × 2}\) = \(\frac{16}{20}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 36.

\(\frac{16}{20}\) =

Answer:

\(\frac{16}{20}\) = \(\frac{16 × 2}{20 × 2}\) = \(\frac{32}{40}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 37.

\(\frac{12}{15}\) =

Answer:

\(\frac{12}{15}\) = \(\frac{12 × 2}{15 × 2}\) = \(\frac{24}{30}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 38.

\(\frac{18}{27}\) =

Answer:

\(\frac{18}{27}\) = \(\frac{18 × 2}{27 × 2}\) = \(\frac{36}{54}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 39.

\(\frac{27}{36}\) =

Answer:

\(\frac{27}{36}\) = \(\frac{27 × 2}{36 × 2}\) = \(\frac{54}{72}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 40.

\(\frac{32}{40}\) =

Answer:

\(\frac{32}{40}\) = \(\frac{32 × 2}{40 × 2}\) = \(\frac{64}{80}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 41.

\(\frac{45}{54}\) =

Answer:

\(\frac{45}{54}\) = \(\frac{45 × 2}{54 × 2}\) = \(\frac{90}{108}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 42.

\(\frac{24}{36}\) =

Answer:

\(\frac{24}{36}\) = \(\frac{24 × 2}{36 × 2}\) = \(\frac{48}{72}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 43.

\(\frac{60}{72}\) =

Answer:

\(\frac{60}{72}\) = \(\frac{60 × 2}{72 × 2}\) = \(\frac{120}{144}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 44.

\(\frac{48}{60}\) =

Answer:

\(\frac{48}{60}\) = \(\frac{48 × 2}{60 × 2}\) = \(\frac{96}{120}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

B

Make Larger Units

Question 1.

\(\frac{5}{10}\) =

Answer:

\(\frac{5}{10}\) = \(\frac{5 × 2}{10 × 2}\) = \(\frac{10}{20}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 2.

\(\frac{5}{15}\) =

Answer:

\(\frac{5}{15}\) = \(\frac{5 × 2}{15 × 2}\) = \(\frac{10}{30}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 3.

\(\frac{5}{20}\) =

Answer:

\(\frac{5}{20}\) = \(\frac{5 × 2}{20 × 2}\) = \(\frac{10}{40}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 4.

\(\frac{2}{4}\) =

Answer:

\(\frac{2}{4}\) = \(\frac{2 × 2}{4 × 2}\) = \(\frac{4}{8}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 5.

\(\frac{2}{6}\) =

Answer:

\(\frac{2}{6}\) = \(\frac{2 × 2}{6 × 2}\) = \(\frac{4}{12}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 6.

\(\frac{2}{8}\) =

Answer:

\(\frac{2}{8}\) = \(\frac{2 × 2}{8 × 2}\) = \(\frac{4}{16}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 7.

\(\frac{3}{6}\) =

Answer:

\(\frac{3}{6}\) = \(\frac{3 × 2}{6 × 2}\) = \(\frac{5}{12}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 8.

\(\frac{3}{9}\) =

Answer:

\(\frac{2}{4}\) = \(\frac{2 × 2}{4 × 2}\) = \(\frac{4}{8}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 9.

\(\frac{3}{12}\) =

Answer:

\(\frac{3}{12}\) = \(\frac{3 × 2}{12 × 2}\) = \(\frac{6}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 10.

\(\frac{4}{8}\) =

Answer:

\(\frac{4}{8}\) = \(\frac{4 × 2}{8 × 2}\) = \(\frac{8}{16}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 11.

\(\frac{4}{12}\) =

Answer:

\(\frac{4}{12}\) = \(\frac{4 × 2}{12 × 2}\) = \(\frac{8}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 12.

\(\frac{4}{16}\) =

Answer:

\(\frac{4}{16}\) = \(\frac{4 × 2}{16 × 2}\) = \(\frac{8}{32}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 13.

\(\frac{4}{6}\) =

Answer:

\(\frac{4}{6}\) = \(\frac{4 × 2}{6 × 2}\) = \(\frac{8}{12}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 14.

\(\frac{7}{14}\) =

Answer:

\(\frac{7}{14}\) = \(\frac{7 × 2}{14 × 2}\) = \(\frac{14}{28}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 15.

\(\frac{7}{21}\) =

Answer:

\(\frac{7}{21}\) = \(\frac{7 × 2}{21 × 2}\) = \(\frac{14}{42}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 16.

\(\frac{7}{35}\) =

Answer:

\(\frac{7}{35}\) = \(\frac{7 × 2}{35 × 2}\) = \(\frac{14}{70}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 17.

\(\frac{6}{9}\) =

Answer:

\(\frac{6}{9}\) = \(\frac{6 × 2}{9 × 2}\) = \(\frac{12}{18}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 18.

\(\frac{6}{12}\) =

Answer:

\(\frac{6}{12}\) = \(\frac{6 × 2}{12 × 2}\) = \(\frac{12}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 19.

\(\frac{6}{18}\) =

Answer:

\(\frac{6}{18}\) = \(\frac{6 × 2}{18 × 2}\) = \(\frac{12}{36}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 20.

\(\frac{6}{36}\) =

Answer:

\(\frac{6}{36}\) = \(\frac{6 × 2}{36 × 2}\) = \(\frac{12}{72}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 21.

\(\frac{8}{12}\) =

Answer:

\(\frac{8}{12}\) = \(\frac{8 × 2}{12 × 2}\) = \(\frac{16}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 22.

\(\frac{8}{16}\) =

Answer:

\(\frac{8}{16}\) = \(\frac{8 × 2}{16 × 2}\) = \(\frac{16}{32}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 23.

\(\frac{8}{24}\) =

Answer:

\(\frac{8}{24}\) = \(\frac{8 × 2}{24 × 2}\) = \(\frac{16}{48}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 24.

\(\frac{8}{56}\) =

Answer:

\(\frac{8}{56}\) = \(\frac{8 × 2}{56 × 2}\) = \(\frac{16}{112}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 25.

\(\frac{8}{12}\) =

Answer:

\(\frac{8}{12}\) = \(\frac{8 × 2}{12 × 2}\) = \(\frac{16}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 26.

\(\frac{9}{18}\) =

Answer:

\(\frac{8}{12}\) = \(\frac{8 × 2}{12 × 2}\) = \(\frac{16}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 27.

\(\frac{9}{27}\) =

Answer:

\(\frac{9}{27}\) = \(\frac{9 × 2}{27 × 2}\) = \(\frac{18}{54}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 28.

\(\frac{9}{72}\) =

Answer:

\(\frac{9}{72}\) = \(\frac{9 × 2}{72 × 2}\) = \(\frac{18}{144}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 29.

\(\frac{12}{18}\) =

Answer:

\(\frac{12}{18}\) = \(\frac{12 × 2}{18 × 2}\) = \(\frac{24}{36}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 30.

\(\frac{12}{16}\) =

Answer:

\(\frac{12}{16}\) = \(\frac{12 × 2}{16 × 2}\) = \(\frac{24}{32}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 31.

\(\frac{9}{12}\) =

Answer:

\(\frac{9}{12}\) = \(\frac{9 × 2}{12 × 2}\) = \(\frac{18}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 32.

\(\frac{12}{16}\) =

Answer:

\(\frac{12}{16}\) = \(\frac{12 × 2}{16 × 2}\) = \(\frac{24}{32}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 33.

\(\frac{8}{10}\) =

Answer:

\(\frac{8}{10}\) = \(\frac{8 × 2}{10 × 2}\) = \(\frac{16}{20}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 34.

\(\frac{16}{20}\) =

Answer:

\(\frac{16}{20}\) = \(\frac{16 × 2}{20 × 2}\) = \(\frac{32}{40}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 35.

\(\frac{12}{15}\) =

Answer:

\(\frac{12}{15}\) = \(\frac{12 × 2}{15 × 2}\) = \(\frac{24}{30}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 36.

\(\frac{10}{12}\) =

Answer:

\(\frac{10}{12}\) = \(\frac{10 × 2}{12 × 2}\) = \(\frac{20}{24}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 37.

\(\frac{15}{18}\) =

Answer:

\(\frac{15}{18}\) = \(\frac{15 × 2}{18 × 2}\) = \(\frac{30}{36}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 38.

\(\frac{16}{24}\) =

Answer:

\(\frac{16}{24}\) = \(\frac{16 × 2}{24 × 2}\) = \(\frac{32}{48}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 39.

\(\frac{24}{32}\) =

Answer:

\(\frac{24}{32}\) = \(\frac{24 × 2}{32 × 2}\) = \(\frac{48}{64}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 40.

\(\frac{36}{45}\) =

Answer:

\(\frac{36}{45}\) = \(\frac{36 × 2}{45 × 2}\) = \(\frac{72}{90}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 41.

\(\frac{40}{48}\) =

Answer:

\(\frac{40}{48}\) = \(\frac{40 × 2}{48 × 2}\) = \(\frac{80}{96}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 42.

\(\frac{24}{36}\) =

Answer:

\(\frac{24}{36}\) = \(\frac{24 × 2}{36 × 2}\) = \(\frac{48}{72}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 43.

\(\frac{48}{60}\) =

Answer:

\(\frac{48}{60}\) = \(\frac{48 × 2}{60 × 2}\) = \(\frac{96}{120}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

Question 44.

\(\frac{60}{72}\) =

Answer:

\(\frac{60}{72}\) = \(\frac{60 × 2}{72 × 2}\) = \(\frac{120}{144}\)

Explanation :

Multiply numerator and denominator by 2 or another number to make the given fraction into a larger fraction unit .

### Eureka Math Grade 5 Module 3 Lesson 14 Problem Set Answer Key

Question 1.

Rearrange the terms so that you can add or subtract mentally. Then, solve.

a. \(\frac{1}{4}\) + 2\(\frac{2}{3}\) + \(\frac{7}{4}\) + \(\frac{1}{3}\)

b. 2\(\frac{3}{5}\) – \(\frac{3}{4}\) + \(\frac{2}{5}\)

c. 4\(\frac{3}{7}\) – \(\frac{3}{4}\) – 2\(\frac{1}{4}\) – \(\frac{3}{7}\)

d. \(\frac{5}{6}\) + \(\frac{1}{3}\) – \(\frac{4}{3}\) + \(\frac{1}{6}\)

Answer:

a. \(\frac{1}{4}\) + 2\(\frac{2}{3}\) + \(\frac{7}{4}\) + \(\frac{1}{3}\) = 5

b. 2\(\frac{3}{5}\) – \(\frac{3}{4}\) + \(\frac{2}{5}\) = 2 \(\frac{1}{4}\)

c. 4\(\frac{3}{7}\) – \(\frac{3}{4}\) – 2\(\frac{1}{4}\) – \(\frac{3}{7}\) = 1

d. \(\frac{5}{6}\) + \(\frac{1}{3}\) – \(\frac{4}{3}\) + \(\frac{1}{6}\) = 0

Explanation :

a. \(\frac{1}{4}\) + 2\(\frac{2}{3}\) + \(\frac{7}{4}\) + \(\frac{1}{3}\)

= \(\frac{1}{4}\) + \(\frac{7}{4}\) + \(\frac{8}{3}\) + \(\frac{1}{3}\)

= \(\frac{8}{4}\) + \(\frac{9}{3}\) = 2 + 3 = 5

b. 2\(\frac{3}{5}\) – \(\frac{3}{4}\) + \(\frac{2}{5}\)

= \(\frac{13}{5}\) – \(\frac{3}{4}\) + \(\frac{2}{5}\)

= \(\frac{13}{5}\) + \(\frac{2}{5}\) – \(\frac{3}{4}\)

= \(\frac{15}{5}\) – \(\frac{3}{4}\) = 3 – \(\frac{3}{4}\) = 2 \(\frac{1}{4}\)

c. 4\(\frac{3}{7}\) – \(\frac{3}{4}\) – 2\(\frac{1}{4}\) – \(\frac{3}{7}\)

= \(\frac{31}{7}\) – \(\frac{3}{7}\) – \(\frac{3}{4}\) – \(\frac{9}{4}\)

= \(\frac{28}{7}\) – \(\frac{12}{4}\) = 4 – 3 = 1

d. \(\frac{5}{6}\) + \(\frac{1}{3}\) – \(\frac{4}{3}\) + \(\frac{1}{6}\)

= \(\frac{5}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{3}\) – \(\frac{4}{3}\)

= \(\frac{6}{6}\) – \(\frac{3}{3}\) = 1 – 1 = 0

Question 2.

Fill in the blank to make the statement true.

a. 11\(\frac{2}{5}\) – 3\(\frac{2}{3}\) – \(\frac{11}{3}\) = ________

b. 11\(\frac{7}{8}\) + 3\(\frac{1}{5}\) – ____________ = 15

c.\(\frac{5}{12}\) -________+ \(\frac{5}{4}\) = \(\frac{2}{3}\)

d. ________- 30 – 7\(\frac{1}{4}\) = 21\(\frac{2}{3}\)

e. \(\frac{24}{5}\) + ________ + \(\frac{8}{7}\) = 9

f. 11.1 + 3 \(\frac{1}{10}\) – ________= \(\frac{99}{10}\)

Answer:

a. 11\(\frac{2}{5}\) – 3\(\frac{2}{3}\) – \(\frac{11}{3}\) =4\(\frac{1}{15}\)

b. 11\(\frac{7}{8}\) + 3\(\frac{1}{5}\) – \(\frac{3}{40}\) = 15

c.\(\frac{5}{12}\) -1+ \(\frac{5}{4}\) = \(\frac{2}{3}\)

d. 58\(\frac{11}{12}\) . – 30 – 7\(\frac{1}{4}\) = 21\(\frac{2}{3}\)

e. \(\frac{24}{5}\) + 21\(\frac{2}{5}\) + \(\frac{8}{7}\) = 9

f. 11.1 + 3 \(\frac{1}{10}\) – 8 = \(\frac{99}{10}\)

Explanation :

a. 11\(\frac{2}{5}\) – 3\(\frac{2}{3}\) – \(\frac{11}{3}\)

= \(\frac{57}{5}\) – \(\frac{11}{3}\) – \(\frac{11}{3}\)

= \(\frac{57}{5}\) – \(\frac{22}{3}\)

lcm of 5 and 3 is 15 .

= \(\frac{171}{15}\) – \(\frac{110}{15}\)

= \(\frac{61}{15}\) = 4\(\frac{1}{15}\)

b. 11\(\frac{7}{8}\) + 3\(\frac{1}{5}\) – x = 15

= \(\frac{95}{8}\) + \(\frac{16}{5}\) – x = 15

x = \(\frac{95}{8}\) + \(\frac{16}{5}\) – 15

lcm is 40 .

x = \(\frac{475}{40}\) + \(\frac{128}{40}\) – \(\frac{600}{40}\)

x = \(\frac{3}{40}\)

c. \(\frac{5}{12}\) – y + \(\frac{5}{4}\) = \(\frac{2}{3}\)

= \(\frac{5}{12}\) – y + \(\frac{5}{4}\) = \(\frac{2}{3}\)

lcm of 12 , 4 and 3 is 12 .

y = \(\frac{5}{12}\) + \(\frac{15}{12}\) – \(\frac{8}{12}\)

y = \(\frac{12}{12}\) = 1

y = 1.

d. x – 30 – 7\(\frac{1}{4}\) = 21\(\frac{2}{3}\) = x – 30 – \(\frac{29}{4}\) = \(\frac{65}{3}\)

lcm of 4 and 3 is 12.

x = \(\frac{260}{12}\) + \(\frac{360}{12}\) + \(\frac{87}{12}\)

x = \(\frac{707}{12}\) = 58\(\frac{11}{12}\) .

e. \(\frac{24}{5}\) + y + \(\frac{8}{7}\) = 9

y = 9 – \(\frac{24}{5}\) – \(\frac{8}{7}\)

lcm of 5 and 7 is 35 .

y = \(\frac{315}{35}\) – \(\frac{168}{35}\) – \(\frac{40}{35}\)

y = \(\frac{107}{5}\) = 21\(\frac{2}{5}\)

f. 11.1 + 3 \(\frac{1}{10}\) – x = \(\frac{99}{10}\)

11.1 + \(\frac{31}{10}\) – \(\frac{99}{10}\) = x

11.1 – \(\frac{31}{10}\) = x

11.1 – 3.1 = x

8.0 = x

Question 3.

DeAngelo needs 100 lb of garden soil to landscape a building. In the company’s storage area, he finds 2 cases holding 24\(\frac{3}{4}\) lb of garden soil each, and a third case holding 19\(\frac{3}{8}\) lb. How much gardening soil does DeAngelo still need in order to do the job?

Answer:

Fraction of soil needed to landscape a building = 100lb .

Fraction of 2 cases holding soil = 2 × 24\(\frac{3}{4}\) = \(\frac{99}{2}\) lb

Fraction of third case holding soil = 19\(\frac{3}{8}\) = \(\frac155}{8}\) lb

Fraction of cases holding capacity = \(\frac{99}{2}\) lb + \(\frac{155}{8}\) lb = \(\frac{396}{8}\) + \(\frac{155}{8}\) = \(\frac{551}{8}\) = 68 \(\frac{7}{8}\) .

Fraction of gardening soil still need to do = 100 – 68 \(\frac{7}{8}\) = \(\frac{800}{8}\) – \(\frac{551}{8}\) = \(\frac{249}{8}\) = 31\(\frac{1}{8}\) .

Therefore Fraction of gardening soil still need to do = 31\(\frac{1}{8}\) .

Question 4.

Volunteers helped clean up 8.2 kg of trash in one neighborhood and 11\(\frac{1}{2}\) kg in another. They sent 1\(\frac{1}{4}\) kg to be recycled and threw the rest away. How many kilograms of trash did they throw away?

Answer:

Fraction of trash cleaned up in one neighborhood = 8.2 kg

Fraction of trash cleaned up in another neighborhood = 11\(\frac{1}{2}\) = \(\frac{23}{2}\) kg

Fraction of capacity of recycled = 1\(\frac{1}{4}\) = \(\frac{5}{4}\) = 1.25 kg

Total trash cleaned up = 8.2 + \(\frac{23}{2}\) = \(\frac{16.4}{2}\) + \(\frac{23}{2}\) = \(\frac{39.4}{2}\) = 19.7 kg .

Fraction of trash threw = 19.7 – 1.25kg = 18.45 kg

Therefore fraction of trash threw = 18.45 kg .

### Eureka Math Grade 5 Module 3 Lesson 14 Exit Ticket Answer Key

Fill in the blank to make the statement true.

Question 1.

1\(\frac{3}{4}\) + \(\frac{1}{6}\) + __________ = 7\(\frac{1}{2}\)

Answer:

1\(\frac{3}{4}\) + \(\frac{1}{6}\) + \(\frac{67}{12}\) = 7\(\frac{1}{2}\)

Explanation :

1\(\frac{3}{4}\) + \(\frac{1}{6}\) + x = 7\(\frac{1}{2}\)

x = \(\frac{15}{2}\) – \(\frac{7}{4}\) – \(\frac{1}{6}\)

lcm of 2 , 4 and 6 is 12 .

x = \(\frac{90}{12}\) – \(\frac{21}{12}\) – \(\frac{2}{12}\)

x = \(\frac{67}{12}\)

Question 2.

8\(\frac{4}{5}\) – \(\frac{2}{3}\) – _____________ = 3\(\frac{1}{10}\)

Answer:

8\(\frac{4}{5}\) – \(\frac{2}{3}\) – _____________ = 3\(\frac{1}{10}\)

Explanation :

8\(\frac{4}{5}\) – \(\frac{2}{3}\) – y = 3\(\frac{1}{10}\)

y = \(\frac{44}{5}\) – \(\frac{2}{3}\) – \(\frac{31}{10}\)

lcm of 5 , 3 and 10 is 30.

y = \(\frac{264}{30}\) – \(\frac{20}{30}\) – \(\frac{186}{30}\)

y = \(\frac{58}{30}\) = 1\(\frac{28}{30}\) .

### Eureka Math Grade 5 Module 3 Lesson 14 Homework Answer Key

Question 1.

Rearrange the terms so that you can add or subtract mentally. Then, solve.

a. 1\(\frac{3}{4}\) + \(\frac{1}{2}\) + \(\frac{1}{4}\) +\(\frac{1}{2}\)

b. 3\(\frac{1}{6}\) – \(\frac{3}{4}\) + \(\frac{5}{6}\)

c. 5\(\frac{5}{8}\) – 2\(\frac{6}{7}\) – \(\frac{2}{7}\) – \(\frac{5}{8}\)

d. \(\frac{7}{9}\) + \(\frac{1}{2}\) – \(\frac{3}{2}\) + \(\frac{2}{9}\)

Answer:

a. 1\(\frac{3}{4}\) + \(\frac{1}{2}\) + \(\frac{1}{4}\) +\(\frac{1}{2}\) = 3

b. 3\(\frac{1}{6}\) – \(\frac{3}{4}\) + \(\frac{5}{6}\) = 3\(\frac{1}{4}\)

c. 5\(\frac{5}{8}\) – 2\(\frac{6}{7}\) – \(\frac{2}{7}\) – \(\frac{5}{8}\) =1\(\frac{6}{7}\)

d. \(\frac{7}{9}\) + \(\frac{1}{2}\) – \(\frac{3}{2}\) + \(\frac{2}{9}\) = 0

Explanation :

a. 1\(\frac{3}{4}\) + \(\frac{1}{2}\) + \(\frac{1}{4}\) +\(\frac{1}{2}\)

= \(\frac{7}{4}\) + \(\frac{1}{2}\) + \(\frac{1}{4}\) +\(\frac{1}{2}\)

= \(\frac{7}{4}\)+ \(\frac{1}{4}\) +\(\frac{1}{2}\) + \(\frac{1}{2}\)

= \(\frac{8}{4}\) + \(\frac{2}{2}\)

= 2 + 1

=3

b. 3\(\frac{1}{6}\) – \(\frac{3}{4}\) + \(\frac{5}{6}\)

= \(\frac{19}{6}\)+ \(\frac{5}{6}\) – \(\frac{3}{4}\)

= \(\frac{24}{6}\) – \(\frac{3}{4}\)

lcm of 6 and 4 is 24 .

= \(\frac{96}{24}\) – \(\frac{18}{24}\)

= \(\frac{78}{24}\)

= \(\frac{13}{4}\)

= 3\(\frac{1}{4}\)

c. 5\(\frac{5}{8}\) – 2\(\frac{6}{7}\) – \(\frac{2}{7}\) – \(\frac{5}{8}\)

= \(\frac{45}{8}\) – \(\frac{5}{8}\) – \(\frac{20}{7}\) – \(\frac{2}{7}\)

= \(\frac{40}{8}\) – \(\frac{22}{7}\)

= \(\frac{280}{56}\) – \(\frac{176}{56}\)

= \(\frac{104}{56}\)

= \(\frac{13}{7}\)

=1\(\frac{6}{7}\)

d. \(\frac{7}{9}\) + \(\frac{1}{2}\) – \(\frac{3}{2}\) + \(\frac{2}{9}\)

= \(\frac{7}{9}\) + \(\frac{2}{9}\) + \(\frac{1}{2}\) – \(\frac{3}{2}\)

= \(\frac{9}{9}\) – \(\frac{2}{2}\)

= 1- 1

= 0

Question 2.

Fill in the blank to make the statement true.

a. 7\(\frac{3}{4}\) – 1\(\frac{2}{7}\) – \(\frac{3}{2}\) = ________

b. 9\(\frac{5}{6}\) + 1\(\frac{1}{4}\) + ________ = 14

c. \(\frac{7}{10}\) – _______ + \(\frac{3}{2}\) = \(\frac{6}{5}\)

d. ________ – 20 – 3\(\frac{1}{4}\) = 14\(\frac{5}{8}\)

e. \(\frac{17}{3}\) + ________ + \(\frac{5}{2}\) = 10\(\frac{4}{5}\)

f. 23.1 + 1\(\frac{7}{10}\) – ________= \(\frac{66}{10}\)

Answer:

a. 7\(\frac{3}{4}\) – 1\(\frac{2}{7}\) – \(\frac{3}{2}\) = = 4\(\frac{27}{28}\)

b. 9\(\frac{5}{6}\) + 1\(\frac{1}{4}\) + 2\(\frac{11}{12}\) = 14

c. \(\frac{7}{10}\) – 1 + \(\frac{3}{2}\) = \(\frac{6}{5}\)

d. 34\(\frac{5}{8}\) – 20 – 3\(\frac{1}{4}\) = 14\(\frac{5}{8}\)

e. \(\frac{17}{3}\) + 2 \(\frac{19}{30}\) + \(\frac{5}{2}\) = 10\(\frac{4}{5}\)

f. 23.1 + 1\(\frac{7}{10}\) – 18.2 = \(\frac{66}{10}\)

Explanation :

a. 7\(\frac{3}{4}\) – 1\(\frac{2}{7}\) – \(\frac{3}{2}\)

= \(\frac{31}{4}\) – \(\frac{9}{7}\) – \(\frac{3}{2}\)

lcm of 4 , 7 and 2 is 28

= \(\frac{217}{28}\) – \(\frac{36}{28}\) – \(\frac{42}{28}\)

= \(\frac{139}{28}\)

= 4\(\frac{27}{28}\)

b. 9\(\frac{5}{6}\) + 1\(\frac{1}{4}\) + x = 14

x = 14 – \(\frac{59}{6}\) – \(\frac{5}{4}\)

x = \(\frac{168}{12}\) – \(\frac{118}{12}\) – \(\frac{15}{12}\)

x = \(\frac{35}{12}\)

x = 2\(\frac{11}{12}\)

c. \(\frac{7}{10}\) – y + \(\frac{3}{2}\) = \(\frac{6}{5}\)

y = \(\frac{7}{10}\) + \(\frac{3}{2}\) – \(\frac{6}{5}\)

lcm of 10, 2 and 5 is 10 .

y = \(\frac{7}{10}\) + \(\frac{15}{10}\) – \(\frac{12}{10}\)

y = \(\frac{10}{10}\)

y = 1.

d. x – 20 – 3\(\frac{1}{4}\) = 14\(\frac{5}{8}\)

x = 14\(\frac{5}{8}\) + 20 + 3\(\frac{1}{4}\)

x = \(\frac{117}{8}\) + 20 + \(\frac{13}{4}\)

lcm is 8

x = \(\frac{117}{8}\) + \(\frac{26}{8}\) + \(\frac{160}{8}\)

x = \(\frac{277}{8}\)

x = 34\(\frac{5}{8}\)

e. \(\frac{17}{3}\) + y + \(\frac{5}{2}\) = 10\(\frac{4}{5}\)

y = \(\frac{54}{5}\) – \(\frac{17}{3}\) – \(\frac{5}{2}\)

lcm of 5 , 3 and 2 is 30 .

y = \(\frac{324}{30}\) – \(\frac{170}{30}\) – \(\frac{75}{30}\)

y = \(\frac{79}{30}\)

y = 2 \(\frac{19}{30}\) .

f. 23.1 + 1\(\frac{7}{10}\) – y = \(\frac{66}{10}\)

y = 23.1 + \(\frac{17}{10}\) – \(\frac{66}{10}\)

y = 23.1 – \(\frac{49}{10}\)

y = 23.1 – 4.9

y = 18.2

Question 3.

Laura bought 8\(\frac{3}{10}\) yd of ribbon. She used 1\(\frac{2}{5}\) yd to tie a package and 2\(\frac{1}{3}\) yd to make a bow. Joe later gave her 4\(\frac{3}{5}\) yd. How much ribbon does she now have?

Answer:

Fraction of Ribbon brought by Laura = 8\(\frac{3}{10}\) yd = \(\frac{83}{10}\)

Fraction of Ribbon used to tie a package = 1\(\frac{2}{5}\) yd

Fraction of Ribbon used to make a bow = 2\(\frac{1}{3}\) yd

Fraction of ribbon used by Laura = 1\(\frac{2}{5}\) yd + 2\(\frac{1}{3}\) yd = \(\frac{7}{5}\) + \(\frac{7}{3}\) = \(\frac{21}{15}\) + \(\frac{35}{15}\) = \(\frac{56}{15}\)

Fraction of ribbon left with laura = \(\frac{83}{10}\) – \(\frac{56}{15}\) = \(\frac{249}{10}\) + \(\frac{112}{15}\) = \(\frac{137}{15}\)= 9\(\frac{2}{15}\) .

Fraction of ribbon joe gave to laura = 4\(\frac{3}{5}\) = \(\frac{23}{5}\) yd.

Fraction of ribbon with laura now = \(\frac{137}{15}\) + \(\frac{23}{5}\) =\(\frac{137}{15}\) + \(\frac{69}{15}\) = \(\frac{206}{15}\) = 13\(\frac{11}{15}\) .

Therefore Fraction of ribbon with laura now = 13\(\frac{11}{15}\) .

Question 4.

Mia bought 10\(\frac{1}{9}\) lb of flour. She used 2\(\frac{3}{4}\) lb of flour to bake banana cakes and some to bake chocolate cakes. After baking all the cakes, she had 3\(\frac{5}{6}\) lb of flour left. How much flour did she use to bake the chocolate cakes?

Answer:

Fraction of Flour with Mia = 10\(\frac{1}{9}\) = \(\frac{91}{9}\) lb

Fraction of Flour used to bake bake banana cakes = 2\(\frac{3}{4}\) = \(\frac{11}{4}\) lb

Fraction of flour left = 3\(\frac{5}{6}\) = \(\frac{23}{6}\) lb

Fraction of flour used for chocolate cake = \(\frac{91}{9}\) – \(\frac{11}{4}\) – \(\frac{23}{6}\) =

\(\frac{364}{36}\) – \(\frac{99}{36}\) – \(\frac{138}{36}\) = \(\frac{127}{36}\) = 3\(\frac{17}{36}\).

Therefore, Fraction of flour used for chocolate cake = 3\(\frac{17}{36}\).