## Engage NY Eureka Math 5th Grade Module 3 Lesson 7 Answer Key

### Eureka Math Grade 5 Module 3 Lesson 7 Sprint Answer Key

A

Circle the Equivalent Fraction

Question 1.

\(\frac{2}{4}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

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

Explanation :

\(\frac{2}{4}\) when its numerator and denominator is divided by 2 we get \(\frac{1}{2}\)

Question 2.

\(\frac{2}{6}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{2}{6}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{2}{6}\) when its numerator and denominator is divided by 2 we get \(\frac{1}{3}\)

Question 3.

\(\frac{2}{8}\) = \(\frac{1}{2}\) \(\frac{1}{4}\)

Answer:

\(\frac{2}{8}\) = \(\frac{1}{4}\)

Explanation :

\(\frac{2}{8}\) when its numerator and denominator is divided by 2 we get \(\frac{1}{4}\)

Question 4.

\(\frac{5}{10}\) = \(\frac{1}{2}\) \(\frac{1}{4}\)

Answer:

\(\frac{5}{10}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{5}{10}\) when its numerator and denominator is divided by 5 we get \(\frac{1}{2}[/latex

Question 5.

[latex]\frac{5}{15}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{5}{15}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{5}{15}\) when its numerator and denominator is divided by 5 we get \(\frac{1}{3}\)

Question 6.

\(\frac{5}{20}\) = \(\frac{1}{2}\) \(\frac{1}{4}\)

Answer:

\(\frac{5}{20}\) = \(\frac{1}{4}\)

Explanation :

\(\frac{5}{20}\) when its numerator and denominator is divided by 5 we get \(\frac{1}{4}\)

Question 7.

\(\frac{4}{8}\) = \(\frac{1}{2}\) \(\frac{1}{4}\)

Answer:

\(\frac{4}{8}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{4}{8}\) when its numerator and denominator is divided by 4 we get \(\frac{1}{2}\)

Question 8.

\(\frac{4}{12}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{4}{12}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{4}{12}\) when its numerator and denominator is divided by 4 we get \(\frac{1}{3}\)

Question 9.

\(\frac{4}{16}\) = \(\frac{1}{2}\) \(\frac{1}{4}\)

Answer:

\(\frac{4}{16}\) = \(\frac{1}{4}\)

Explanation :

\(\frac{4}{16}\) when its numerator and denominator is divided by 4 we get \(\frac{1}{4}\)

Question 10.

\(\frac{3}{6}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{3}{6}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{3}{6}\) when its numerator and denominator is divided by 3 we get \(\frac{1}{2}\)

Question 11.

\(\frac{3}{9}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{3}{9}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{3}{9}\) when its numerator and denominator is divided by 3 we get \(\frac{1}{3}\)

Question 12.

\(\frac{3}{12}\) = \(\frac{1}{2}\) \(\frac{1}{4}\)

Answer:

\(\frac{3}{12}\) = \(\frac{1}{4}\)

Explanation :

\(\frac{3}{12}\) when its numerator and denominator is divided by 3 we get \(\frac{1}{4}\)

Question 13.

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

Answer:

\(\frac{4}{6}\) = \(\frac{2}{3}\)

Explanation :

\(\frac{4}{6}\) when its numerator and denominator is divided by 2 we get \(\frac{2}{3}\)

Question 14.

\(\frac{6}{12}\) = \(\frac{2}{3}\) \(\frac{1}{2}\)

Answer:

\(\frac{6}{12}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{6}{12}\) when its numerator and denominator is divided by 6 we get \(\frac{1}{2}\)

Question 15.

\(\frac{6}{18}\) = \(\frac{2}{3}\) \(\frac{1}{3}\)

Answer:

\(\frac{6}{18}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{6}{18}\) when its numerator and denominator is divided by 6 we get \(\frac{1}{3}\)

Question 16.

\(\frac{6}{30}\) = \(\frac{1}{5}\) \(\frac{1}{3}\)

Answer:

\(\frac{6}{30}\) = \(\frac{1}{5}\)

Explanation :

\(\frac{6}{30}\) when its numerator and denominator is divided by 6 we get \(\frac{1}{5}\)

Question 17.

\(\frac{6}{9}\) = \(\frac{2}{3}\) \(\frac{1}{3}\)

Answer:

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

Explanation :

\(\frac{6}{9}\) when its numerator and denominator is divided by 3 we get \(\frac{2}{3}\)

Question 18.

\(\frac{7}{14}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{7}{14}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{7}{14}\) when its numerator and denominator is divided by 7 we get \(\frac{1}{2}\)

Question 19.

\(\frac{7}{21}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{7}{21}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{7}{21}\) when its numerator and denominator is divided by 7 we get \(\frac{1}{3}\)

Question 20.

\(\frac{7}{42}\) = \(\frac{1}{6}\) \(\frac{1}{7}\)

Answer:

\(\frac{7}{42}\) = \(\frac{1}{6}\)

Explanation :

\(\frac{7}{42}\) when its numerator and denominator is divided by 7 we get \(\frac{1}{6}\)

Question 21.

\(\frac{8}{12}\) = \(\frac{2}{3}\) \(\frac{3}{4}\)

Answer:

\(\frac{8}{12}\) = \(\frac{2}{3}\)

Explanation :

\(\frac{8}{12}\) when its numerator and denominator is divided by 4 we get \(\frac{2}{3}\)

Question 22.

\(\frac{9}{18}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{9}{18}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{9}{18}\) when its numerator and denominator is divided by 9 we get \(\frac{1}{2}\)

Question 23.

\(\frac{9}{27}\) = \(\frac{2}{3}\) \(\frac{1}{3}\) \(\frac{1}{4}\)

Answer:

\(\frac{9}{27}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{9}{27}\) when its numerator and denominator is divided by 9 we get \(\frac{1}{3}\)

Question 24.

\(\frac{9}{63}\) = \(\frac{1}{6}\) \(\frac{1}{7}\) \(\frac{1}{8}\)

Answer:

\(\frac{9}{63}\) = \(\frac{1}{7}\)

Explanation :

\(\frac{9}{63}\) when its numerator and denominator is divided by 9 we get \(\frac{1}{7}\)

Question 25.

\(\frac{8}{12}\) = \(\frac{2}{3}\) \(\frac{3}{4}\) \(\frac{4}{5}\)

Answer:

\(\frac{8}{12}\) = \(\frac{2}{3}\)

Explanation :

\(\frac{8}{12}\) when its numerator and denominator is divided by 4 we get \(\frac{2}{3}\)

Question 26.

\(\frac{8}{16}\) = \(\frac{1}{2}\) \(\frac{1}{3}\) \(\frac{1}{4}\)

Answer:

\(\frac{8}{16}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{8}{16}\) when its numerator and denominator is divided by 8 we get \(\frac{1}{2}\)

Question 27.

\(\frac{8}{24}\) = \(\frac{1}{2}\) \(\frac{1}{3}\) \(\frac{1}{4}\)

Answer:

\(\frac{8}{24}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{8}{24}\) when its numerator and denominator is divided by 8 we get \(\frac{1}{3}\)

Question 28.

\(\frac{8}{64}\) = \(\frac{1}{7}\) \(\frac{1}{8}\) \(\frac{1}{9}\)

Answer:

\(\frac{8}{64}\) = \(\frac{1}{8}\)

Explanation :

\(\frac{8}{64}\) when its numerator and denominator is divided by 8 we get \(\frac{1}{8}\)

Question 29.

\(\frac{12}{18}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{12}{18}\) = \(\frac{2}{3}\)

Explanation :

\(\frac{12}{18}\) when its numerator and denominator is divided by 6 we get \(\frac{2}{3}\)

Question 30.

\(\frac{12}{16}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{12}{16}\) = \(\frac{3}{4}\)

Explanation :

\(\frac{12}{16}\) when its numerator and denominator is divided by 4 we get \(\frac{3}{4}\)

Question 31.

\(\frac{9}{12}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{9}{12}\) = \(\frac{3}{4}\)

Explanation :

\(\frac{9}{12}\) when its numerator and denominator is divided by 3 we get \(\frac{3}{4}\)

Question 32.

\(\frac{6}{8}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{6}{8}\) = \(\frac{3}{4}\)

Explanation :

\(\frac{6}{8}\) when its numerator and denominator is divided by 2 we get \(\frac{3}{4}\)

Question 33.

\(\frac{10}{12}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{10}{12}\) = \(\frac{5}{6}\)

Explanation :

\(\frac{10}{12}\) when its numerator and denominator is divided by 2 we get \(\frac{5}{6}\)

Question 34.

\(\frac{15}{18}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{15}{18}\) = \(\frac{5}{6}\)

Explanation :

\(\frac{15}{18}\) when its numerator and denominator is divided by 3 we get \(\frac{5}{6}\)

Question 35.

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

Answer:

\(\frac{8}{10}\) = \(\frac{4}{5}\)

Explanation :

\(\frac{8}{10}\) when its numerator and denominator is divided by 2 we get \(\frac{4}{5}\)

Question 36.

\(\frac{16}{20}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{2}{3}\)

Answer:

\(\frac{16}{20}\) = \(\frac{4}{5}\)

Explanation :

\(\frac{16}{20}\) when its numerator and denominator is divided by 4 we get \(\frac{4}{5}\)

Question 37.

\(\frac{12}{15}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{2}{3}\)

Answer:

\(\frac{12}{15}\) = \(\frac{4}{5}\)

Explanation :

\(\frac{12}{15}\) when its numerator and denominator is divided by 3 we get \(\frac{4}{5}\)

Question 38.

\(\frac{18}{27}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{2}{3}\)

Answer:

\(\frac{18}{27}\) = \(\frac{2}{3}\)

Explanation :

\(\frac{18}{27}\) when its numerator and denominator is divided by 9 we get \(\frac{2}{3}\)

Question 39.

\(\frac{27}{36}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{2}{3}\)

Answer:

\(\frac{27}{36}\) = \(\frac{3}{4}\)

Explanation :

\(\frac{27}{36}\) when its numerator and denominator is divided by 9 we get \(\frac{3}{4}\)

Question 40.

\(\frac{32}{40}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{2}{3}\)

Answer:

\(\frac{32}{40}\) = \(\frac{4}{5}\)

Explanation :

\(\frac{32}{40}\) when its numerator and denominator is divided by 8 we get \(\frac{4}{5}\)

Question 41.

\(\frac{45}{54}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{5}{6}\)

Answer:

\(\frac{45}{54}\) = \(\frac{5}{6}\)

Explanation :

\(\frac{45}{54}\) when its numerator and denominator is divided by 9 we get \(\frac{5}{6}\)

Question 42.

\(\frac{24}{36}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{2}{3}\)

Answer:

\(\frac{24}{36}\) = \(\frac{2}{3}\)

Explanation :

\(\frac{24}{36}\) when its numerator and denominator is divided by 12 we get \(\frac{2}{3}\)

Question 43.

\(\frac{60}{72}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{60}{72}\) = \(\frac{5}{6}\)

Explanation :

\(\frac{60}{72}\) when its numerator and denominator is divided by 12 we get \(\frac{5}{6}\)

Question 44.

\(\frac{48}{60}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{5}{6}\)

Answer:

\(\frac{48}{60}\) = \(\frac{4}{5}\)

Explanation :

\(\frac{48}{60}\) when its numerator and denominator is divided by 12 we get \(\frac{4}{5}\)

B

Circle the Equivalent Fraction

Question 1.

\(\frac{5}{10}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{5}{10}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{5}{10}\) when its numerator and denominator is divided by 5 we get \(\frac{1}{2}\)

Question 2.

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

Answer:

\(\frac{5}{15}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{5}{15}\) when its numerator and denominator is divided by 5 we get \(\frac{1}{3}\)

Question 3.

\(\frac{5}{20}\) = \(\frac{1}{2}\) \(\frac{1}{4}\)

Answer:

\(\frac{5}{20}\) = \(\frac{1}{4}\)

Explanation :

\(\frac{5}{20}\) when its numerator and denominator is divided by 5 we get \(\frac{1}{4}\)

Question 4.

\(\frac{2}{4}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

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

Explanation :

\(\frac{2}{4}\) when its numerator and denominator is divided by 2 we get \(\frac{1}{2}\)

Question 5.

\(\frac{2}{6}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{2}{6}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{2}{6}\) when its numerator and denominator is divided by 2 we get \(\frac{1}{3}\)

Question 6.

\(\frac{2}{8}\) = \(\frac{1}{2}\) \(\frac{1}{4}\)

Answer:

\(\frac{2}{8}\) = \(\frac{1}{4}\)

Explanation :

\(\frac{2}{8}\) when its numerator and denominator is divided by 2 we get \(\frac{1}{4}\)

Question 7.

\(\frac{3}{6}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{3}{6}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{3}{6}\) when its numerator and denominator is divided by 3 we get \(\frac{1}{2}\)

Question 8.

\(\frac{3}{9}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{3}{9}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{3}{9}\) when its numerator and denominator is divided by 3 we get \(\frac{1}{3}\)

Question 9.

\(\frac{3}{12}\) = \(\frac{1}{4}\) \(\frac{1}{3}\)

Answer:

\(\frac{3}{12}\) = \(\frac{1}{4}\)

Explanation :

\(\frac{3}{12}\) when its numerator and denominator is divided by 3 we get \(\frac{1}{4}\)

Question 10.

\(\frac{4}{8}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{4}{8}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{4}{8}\) when its numerator and denominator is divided by 4 we get \(\frac{1}{2}\)

Question 11.

\(\frac{4}{12}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{4}{12}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{4}{12}\) when its numerator and denominator is divided by 4 we get \(\frac{1}{3}\)

Question 12.

\(\frac{4}{16}\) = \(\frac{1}{4}\) \(\frac{1}{3}\)

Answer:

\(\frac{4}{16}\) = \(\frac{1}{4}\)

Explanation :

\(\frac{4}{16}\) when its numerator and denominator is divided by 4 we get \(\frac{1}{4}\)

Question 13.

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

Answer:

\(\frac{4}{6}\) = \(\frac{2}{3}\)

Explanation :

\(\frac{4}{6}\) when its numerator and denominator is divided by 2 we get \(\frac{2}{3}\)

Question 14.

\(\frac{7}{14}\) = \(\frac{2}{3}\) \(\frac{1}{2}\)

Answer:

\(\frac{7}{14}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{7}{14}\) when its numerator and denominator is divided by 7 we get \(\frac{1}{2}\)

Question 15.

\(\frac{7}{21}\) = \(\frac{1}{5}\) \(\frac{1}{3}\)

Answer:

\(\frac{7}{21}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{7}{21}\) when its numerator and denominator is divided by 7 we get \(\frac{1}{3}\)

Question 16.

\(\frac{7}{35}\) = \(\frac{1}{5}\) \(\frac{1}{3}\)

Answer:

\(\frac{7}{35}\) = \(\frac{1}{5}\)

Explanation :

\(\frac{7}{35}\) when its numerator and denominator is divided by 7 we get \(\frac{1}{5}\)

Question 17.

\(\frac{6}{9}\) = \(\frac{2}{3}\) \(\frac{1}{3}\)

Answer:

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

Explanation :

\(\frac{6}{9}\) when its numerator and denominator is divided by 3 we get \(\frac{2}{3}\)

Question 18.

\(\frac{6}{12}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{6}{12}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{6}{12}\) when its numerator and denominator is divided by 6 we get \(\frac{1}{2}\)

Question 19.

\(\frac{6}{18}\) = \(\frac{1}{6}\) \(\frac{1}{3}\)

Answer:

\(\frac{6}{18}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{6}{18}\) when its numerator and denominator is divided by 6 we get \(\frac{1}{3}\)

Question 20.

\(\frac{6}{36}\) = \(\frac{1}{6}\) \(\frac{1}{3}\)

Answer:

\(\frac{6}{36}\) = \(\frac{1}{6}\)

Explanation :

\(\frac{6}{36}\) when its numerator and denominator is divided by 6 we get \(\frac{1}{6}\)

Question 21.

\(\frac{8}{12}\) = \(\frac{2}{3}\) \(\frac{3}{4}\)

Answer:

\(\frac{8}{12}\) = \(\frac{2}{3}\)

Explanation :

\(\frac{8}{12}\) when its numerator and denominator is divided by 4 we get \(\frac{2}{3}\)

Question 22.

\(\frac{8}{16}\) = \(\frac{1}{2}\) \(\frac{1}{3}\)

Answer:

\(\frac{8}{16}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{8}{16}\) when its numerator and denominator is divided by 8 we get \(\frac{1}{2}\)

Question 23.

\(\frac{8}{24}\) = \(\frac{2}{3}\) \(\frac{1}{3}\) \(\frac{1}{4}\)

Answer:

\(\frac{8}{24}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{8}{24}\) when its numerator and denominator is divided by 8 we get \(\frac{1}{3}\)

Question 24.

\(\frac{8}{56}\) = \(\frac{1}{6}\) \(\frac{1}{7}\) \(\frac{1}{8}\)

Answer:

\(\frac{8}{24}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{8}{56}\) when its numerator and denominator is divided by 8 we get \(\frac{1}{7}\)

Question 25.

\(\frac{8}{12}\) = \(\frac{2}{3}\) \(\frac{3}{4}\) \(\frac{4}{5}\)

Answer:

\(\frac{8}{12}\) = \(\frac{2}{3}\)

Explanation :

\(\frac{8}{12}\) when its numerator and denominator is divided by 4 we get \(\frac{2}{3}\)

Question 26.

\(\frac{9}{18}\) = \(\frac{1}{2}\) \(\frac{1}{3}\) \(\frac{1}{4}\)

Answer:

\(\frac{9}{18}\) = \(\frac{1}{2}\)

Explanation :

\(\frac{9}{18}\) when its numerator and denominator is divided by 9 we get \(\frac{1}{2}\)

Question 27.

\(\frac{9}{27}\) = \(\frac{1}{2}\) \(\frac{1}{3}\) \(\frac{1}{4}\)

Answer:

\(\frac{9}{27}\) = \(\frac{1}{3}\)

Explanation :

\(\frac{9}{27}\) when its numerator and denominator is divided by 9 we get \(\frac{1}{3}\)

Question 28.

\(\frac{9}{72}\) = \(\frac{1}{7}\) \(\frac{1}{8}\) \(\frac{1}{9}\)

Answer:

\(\frac{9}{72}\) = \(\frac{1}{8}\)

Explanation :

\(\frac{9}{72}\) when its numerator and denominator is divided by 9 we get \(\frac{1}{8}\)

Question 29.

\(\frac{12}{18}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{12}{18}\) = \(\frac{2}{3}\)

Explanation :

\(\frac{12}{18}\) when its numerator and denominator is divided by 6 we get \(\frac{2}{3}\)

Question 30.

\(\frac{6}{8}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{6}{8}\) = \(\frac{3}{4}\)

Explanation :

\(\frac{6}{8}\) when its numerator and denominator is divided by 2 we get \(\frac{3}{4}\)

Question 31.

\(\frac{9}{12}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{9}{12}\) = \(\frac{3}{4}\)

Explanation :

\(\frac{9}{12}\) when its numerator and denominator is divided by 3 we get \(\frac{3}{4}\)

Question 32.

\(\frac{12}{16}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{12}{16}\) = \(\frac{3}{4}\)

Explanation :

\(\frac{12}{16}\) when its numerator and denominator is divided by 4 we get \(\frac{3}{4}\)

Question 33.

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

Answer:

\(\frac{8}{10}\) = \(\frac{4}{5}\)

Explanation :

\(\frac{8}{10}\) when its numerator and denominator is divided by 2 we get \(\frac{4}{5}\)

Question 34.

\(\frac{16}{20}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{2}{3}\)

Answer:

\(\frac{16}{20}\) = \(\frac{4}{5}\)

Explanation :

\(\frac{16}{20}\) when its numerator and denominator is divided by 4 we get \(\frac{4}{5}\)

Question 35.

\(\frac{12}{15}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{2}{3}\)

Answer:

\(\frac{12}{15}\) = \(\frac{4}{5}\)

Explanation :

\(\frac{12}{15}\) when its numerator and denominator is divided by 3 we get \(\frac{4}{5}\)

Question 36.

\(\frac{10}{12}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{5}{6}\)

Answer:

\(\frac{10}{12}\) = \(\frac{5}{6}\)

Explanation :

\(\frac{10}{12}\) when its numerator and denominator is divided by 2 we get \(\frac{5}{6}\)

Question 37.

\(\frac{15}{18}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{15}{18}\) = \(\frac{5}{6}\)

Explanation :

\(\frac{15}{18}\) when its numerator and denominator is divided by 3 we get \(\frac{5}{6}\)

Question 38.

\(\frac{16}{24}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{2}{3}\)

Answer:

\(\frac{16}{24}\) = \(\frac{2}{3}\)

Explanation :

\(\frac{16}{24}\) when its numerator and denominator is divided by 8 we get \(\frac{2}{3}\)

Question 39.

\(\frac{24}{32}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{2}{3}\)

Answer:

\(\frac{24}{32}\) = \(\frac{3}{4}\)

Explanation :

\(\frac{24}{32}\) when its numerator and denominator is divided by 12 we get \(\frac{3}{4}\)

Question 40.

\(\frac{36}{45}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{2}{3}\)

Answer:

\(\frac{36}{45}\) = \(\frac{4}{5}\)

Explanation :

\(\frac{36}{45}\) when its numerator and denominator is divided by 9 we get \(\frac{4}{5}\)

Question 41.

\(\frac{40}{48}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{5}{6}\)

Answer:

\(\frac{40}{48}\) = \(\frac{5}{6}\)

Explanation :

\(\frac{40}{48}\) when its numerator and denominator is divided by 8 we get \(\frac{5}{}\)

Question 42.

\(\frac{24}{36}\) = \(\frac{3}{4}\) \(\frac{4}{5}\) \(\frac{2}{3}\)

Answer:

\(\frac{24}{36}\) = \(\frac{2}{3}\)

Explanation :

\(\frac{24}{36}\) when its numerator and denominator is divided by 12 we get \(\frac{2}{3}\)

Question 43.

\(\frac{48}{60}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{4}{5}\)

Answer:

\(\frac{48}{60}\) = \(\frac{4}{5}\)

Explanation :

\(\frac{48}{60}\) when its numerator and denominator is divided by 12 we get \(\frac{4}{5}\)

Question 44.

\(\frac{60}{72}\) = \(\frac{3}{4}\) \(\frac{5}{6}\) \(\frac{2}{3}\)

Answer:

\(\frac{60}{72}\) = \(\frac{5}{6}\)

Explanation :

\(\frac{60}{72}\) when its numerator and denominator is divided by 12 we get \(\frac{5}{6}\)

### Eureka Math Grade 5 Module 3 Lesson 7 Problem Set Answer Key

Solve the word problems using the RDW strategy. Show all of your work.

Question 1.

George weeded \(\frac{1}{5}\) of the garden, and Summer weeded some, too. When they were finished, \(\frac{2}{3}\) of the garden still needed to be weeded. What fraction of the garden did Summer weed?

Answer:

Total Garden = 1 whole .

Fraction of garden weeded by George = \(\frac{1}{5}\)

Fraction of garden needed to be weeded = \(\frac{2}{3}\)

Fraction of garden weeded by summer = x

1 = \(\frac{1}{5}\) + x + \(\frac{2}{3}\)

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

lcm of 5 and 3 is 15.

x = \(\frac{15}{15}\) – \(\frac{3}{15}\) – \(\frac{10}{15}\)

x = \(\frac{15}{15}\) – \(\frac{13}{15}\)

x = \(\frac{2}{15}\)

Therefore , Fraction of garden weeded by summer = x = \(\frac{2}{15}\)

Question 2.

Jing spent \(\frac{1}{3}\) of her money on a pack of pens, \(\frac{1}{2}\) of her money on a pack of markers, and \(\frac{1}{8}\) of her money on a pack of pencils. What fraction of her money is left?

Answer:

Total Money = 1

Money spent on pack of pens = \(\frac{1}{3}\)

Money spent on pack of markers = \(\frac{1}{2}\)

Money spent on pack of pencils = \(\frac{1}{8}\)

Fraction of Money left = x

1 = \(\frac{1}{3}\) + \(\frac{1}{2}\) + \(\frac{1}{8}\) + x

lcm of 3, 2 and 8 is 24

\(\frac{24}{24}\) = \(\frac{8}{24}\) + \(\frac{12}{24}\) + \(\frac{3}{24}\) + x

\(\frac{24}{24}\) = \(\frac{23}{24}\) + x

x = \(\frac{24}{24}\) – \(\frac{23}{24}\)

x = \(\frac{1}{24}\) .

Therefore, Fraction of Money left = \(\frac{1}{24}\)

Question 3.

Shelby bought a 2-ounce tube of blue paint. She used \(\frac{2}{3}\) ounce to paint the water, \(\frac{3}{5}\) ounce to paint the sky, and some to paint a flag. After that, she has \(\frac{2}{15}\) ounce left. How much paint did Shelby use to paint her flag?

Answer:

Quantity of Blue paint = 2 – ounce

Fraction of blue paint used for painting water = \(\frac{2}{3}\)

Fraction of blue paint used for painting sky = \(\frac{3}{5}\)

Fraction of blue paint used for painting flag = x

Fraction of blue paint left = \(\frac{2}{15}\)

2 = \(\frac{2}{3}\) + \(\frac{3}{5}\) + x + \(\frac{2}{15}\)

lcm of 3, 5 and 15 is 15 .

\(\frac{30}{15}\) = \(\frac{10}{15}\) + \(\frac{9}{15}\) + x + \(\frac{2}{15}\)

\(\frac{30}{15}\) = \(\frac{21}{15}\) + x

x = \(\frac{30}{15}\) – \(\frac{21}{15}\)

x = \(\frac{9}{15}\) = \(\frac{3}{5}\)

Therefore , Fraction of blue paint used for painting flag = x = \(\frac{9}{15}\) = \(\frac{3}{5}\) .ounce

Question 4.

Jim sold \(\frac{3}{4}\) gallon of lemonade. Dwight sold some lemonade, too. Together, they sold 1\(\frac{5}{12}\) gallons. Who sold more lemonade, Jim or Dwight? How much more?

Answer:

Fraction of lemonade sold by Jim = \(\frac{3}{4}\) gallon

Fraction of lemonade sold by Dwight = x gallon

Fraction of lemonade sold by Jim and Dwight = 1\(\frac{5}{12}\) gallon

1\(\frac{5}{12}\) = \(\frac{3}{4}\) + x

x = 1\(\frac{5}{12}\) – \(\frac{3}{4}\)

lcm of 12 and 4 is 12 .

x = \(\frac{17}{12}\) – \(\frac{9}{12}\)

x = \(\frac{8}{12}\) = \(\frac{2}{3}\)

Therefore, Fraction of lemonade sold by Dwight = x = \(\frac{8}{12}\) = \(\frac{2}{3}\) gallon .

Question 5.

Leonard spent \(\frac{1}{4}\) of his money on a sandwich. He spent 2 times as much on a gift for his brother as on some comic books. He had \(\frac{3}{8}\) of his money left. What fraction of his money did he spend on the comic books?

Answer:

Fraction of Money spent on sandwich = \(\frac{1}{4}\)

Fraction of money left with him = \(\frac{3}{8}\)

Total Money = 1

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

Lcm of 4 and 8 is 8.

\(\frac{8}{8}\) = \(\frac{2}{8}\) + \(\frac{3}{8}\) + x

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

x = \(\frac{8}{8}\) – \(\frac{5}{8}\)

x = \(\frac{3}{8}\)

Fraction of Money spent on his brother = \(\frac{2}{8}\) = \(\frac{1}{4}\)

Fraction of Money spent on Comic books = \(\frac{1}{8}\) .

### Eureka Math Grade 5 Module 3 Lesson 7 Exit Ticket Answer Key

Solve the word problem using the RDW strategy. Show all of your work.

Mr. Pham mowed \(\frac{2}{7}\) of his lawn. His son mowed \(\frac{1}{4}\) of it. Who mowed the most? How much of the lawn still needs to be mowed?

Answer:

Fraction Of Lawn mowed by Mr.Pham = \(\frac{2}{7}\)

Fraction Of Lawn mowed by his Son = \(\frac{1}{4}\)

lcm of 7 and 4 is 28 .

\(\frac{2}{7}\) = \(\frac{8}{28}\)

\(\frac{1}{4}\) = \(\frac{7}{28}\)

\(\frac{8}{28}\) > \(\frac{7}{28}\)

Mr. Pham mowed most than his son .

Fraction of lawn still needed to mowed = x

1= \(\frac{8}{28}\) + \(\frac{7}{28}\) + x

\(\frac{28}{28}\) = \(\frac{15}{28}\) + x

x = \(\frac{28}{28}\) – \(\frac{15}{28}\)

x = \(\frac{13}{28}\)

Therefore, Fraction of lawn still needed to mowed = x = \(\frac{13}{28}\) .

### Eureka Math Grade 5 Module 3 Lesson 7 Homework Answer Key

Solve the word problems using the RDW strategy. Show all of your work.

Question 1.

Christine baked a pumpkin pie. She ate \(\frac{1}{6}\) of the pie. Her brother ate \(\frac{1}{6}\) of it and gave the leftovers to his friends. What fraction of the pie did he give to his friends?

Answer:

Total pie = 1 .

Fraction of pie ate by Christine = \(\frac{1}{6}\)

Fraction of pie ate by her Brother =\(\frac{1}{6}\)

Fraction of pie leftover to her friends = x

1 = \(\frac{1}{6}\) + \(\frac{1}{6}\) + x

lcm is 6

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

x = \(\frac{6}{6}\) – \(\frac{2}{6}\)

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

Therefore, Fraction of pie leftover to her friends = x = \(\frac{4}{6}\) = \(\frac{2}{3}\) .

Question 2.

Liang went to the bookstore. He spent \(\frac{1}{3}\) of his money on a pen and \(\frac{4}{7}\) of it on books. What fraction of his money did he have left?

Answer:

Total money = 1

Fraction of Money spent on Pen =\(\frac{1}{3}\)

Fraction of Money spent on Books =\(\frac{4}{7}\)

Fraction of Money left = x

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

lcm of 3 and 7 is 21 .

\(\frac{21}{21}\) = \(\frac{7}{21}\) + \(\frac{12}{21}\) + x

\(\frac{21}{21}\) = \(\frac{19}{21}\) + x

x = \(\frac{3}{21}\) = \(\frac{1}{7}\) .

Therefore, Fraction of Money left = x = \(\frac{3}{21}\) = \(\frac{1}{7}\) .

Question 3.

Tiffany bought \(\frac{2}{5}\) kg of cherries. Linda bought \(\frac{1}{10}\) kg of cherries less than Tiffany. How many kilograms of cherries did they buy altogether?

Answer:

Fraction of Quantity of Cherries bought by Tiffany = \(\frac{2}{5}\) kg

Fraction of Quantity of Cherries bought by Linda = x kg

Fraction of Quantity of cherries Linda bought \(\frac{1}{10}\) kg of cherries less than Tiffany.

Fraction of Quantity of Cherries bought by Linda = x = \(\frac{2}{5}\) – \(\frac{1}{10}\)

lcm of 2 and 5 is 10 .

x = \(\frac{4}{10}\) – \(\frac{1}{10}\)

x = \(\frac{3}{10}\)

Fraction of Quantity of cherries bought by both = \(\frac{2}{5}\) + \(\frac{3}{10}\) = \(\frac{4}{10}\) + \(\frac{3}{10}\) = \(\frac{7}{10}\)

Therefore, Fraction of Quantity of cherries bought by both = \(\frac{7}{10}\)

Question 4.

Mr. Rivas bought a can of paint. He used \(\frac{3}{8}\) of it to paint a bookshelf. He used \(\frac{1}{4}\) of it to paint a wagon. He used some of it to paint a birdhouse and has \(\frac{1}{8}\) of the paint left. How much paint did he use for the birdhouse?

Answer:

Fraction of paint used to paint a bookshelf = \(\frac{3}{8}\)

Fraction of paint used to paint a wagon = \(\frac{1}{4}\)

Fraction of paint used to paint a birdhouse = x

Fraction of paint left = \(\frac{1}{8}\)

Total paint = 1 .

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

lcm of 4 and 8 is 8 .

\(\frac{8}{8}\) = \(\frac{3}{8}\) +\(\frac{2}{8}\) + x + \(\frac{1}{8}\)

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

x = \(\frac{8}{8}\) – \(\frac{6}{8}\)

x = \(\frac{2}{8}\) = \(\frac{1}{4}\) .

Therefore, Fraction of paint used to paint a bird house = x = \(\frac{2}{8}\) = \(\frac{1}{4}\)

Question 5.

Ribbon A is \(\frac{1}{3}\) m long. It is \(\frac{2}{5}\) m shorter than Ribbon B. What’s the total length of the two ribbons?

Answer:

Fraction of length of Ribbon A = \(\frac{1}{3}\) m

Fraction of length of Ribbon A = Fraction of length of Ribbon B – \(\frac{2}{5}\) m

Fraction of length of Ribbon B = \(\frac{1}{3}\) + \(\frac{2}{5}\)

lcm of 3 and 5 is 15 .

Fraction of length of Ribbon B = \(\frac{1}{3}\) + \(\frac{2}{5}\) = \(\frac{5}{15}\) + \(\frac{6}{15}\) = \(\frac{11}{15}\)

Fraction of Total Length of two ribbons = \(\frac{1}{3}\) + \(\frac{11}{15}\) = \(\frac{5}{15}\) + \(\frac{11}{15}\) = \(\frac{16}{15}\) m .

Therefore, Fraction of Total Length of two ribbons =\(\frac{16}{15}\) m