Engage NY Eureka Math 5th Grade Module 6 Lesson 23 Answer Key
Eureka Math Grade 5 Module 6 Lesson 23 Sprint Answer Key
A
Change Mixed Numbers into Improper Fractions
Question 1.
1\(\frac{1}{5}\) =
Answer:
1\(\frac{1}{5}\) = \(\frac{6}{5}\)
Question 2.
2\(\frac{1}{5}\) =
Answer:
2\(\frac{1}{5}\) = \(\frac{11}{5}\)
Question 3.
3\(\frac{1}{5}\) =
Answer:
3\(\frac{1}{5}\) = \(\frac{16}{5}\)
Question 4.
4\(\frac{1}{5}\) =
Answer:
4 \(\frac{1}{5}\) = \(\frac{21}{5}\)
Question 5.
1\(\frac{1}{4}\) =
Answer:
1\(\frac{1}{4}\) = \(\frac{5}{4}\)
Question 6.
1\(\frac{3}{4}\) =
Answer:
1\(\frac{3}{4}\) = \(\frac{7}{4}\)
Question 7.
1\(\frac{2}{5}\) =
Answer:
1\(\frac{2}{5}\) = \(\frac{7}{5}\)
Question 8.
1\(\frac{3}{5}\) =
Answer:
1\(\frac{3}{5}\) = \(\frac{8}{5}\)
Question 9.
1\(\frac{4}{5}\) =
Answer:
1\(\frac{4}{5}\) = \(\frac{9}{5}\)
Question 10.
2\(\frac{4}{5}\) =
Answer:
2\(\frac{4}{5}\) = \(\frac{14}{5}\)
Question 11.
3\(\frac{4}{5}\) =
Answer:
3\(\frac{4}{5}\) = \(\frac{19}{5}\)
Question 12.
2\(\frac{1}{4}\) =
Answer:
2\(\frac{1}{4}\) = \(\frac{9}{4}\)
Question 13.
2\(\frac{3}{4}\) =
Answer:
2\(\frac{3}{4}\) = \(\frac{11}{4}\)
Question 14.
3\(\frac{1}{4}\) =
Answer:
3\(\frac{1}{4}\) = \(\frac{13}{4}\)
Question 15.
3\(\frac{3}{4}\) =
Answer:
3\(\frac{3}{4}\) = \(\frac{15}{4}\)
Question 16.
4\(\frac{1}{3}\) =
Answer:
4\(\frac{1}{3}\) = \(\frac{1}3{3}\)
Question 17.
4\(\frac{2}{3}\) =
Answer:
4\(\frac{2}{3}\) = \(\frac{14}{3}\)
Question 18.
2\(\frac{3}{5}\) =
Answer:
2\(\frac{3}{5}\) = \(\frac{13}{5}\)
Question 19.
3\(\frac{3}{5}\) =
Answer:
3\(\frac{3}{5}\) = \(\frac{18}{5}\)
Question 20.
4\(\frac{3}{5}\) =
Answer:
4\(\frac{3}{5}\) = \(\frac{23}{5}\)
Question 21.
2\(\frac{1}{6}\) =
Answer:
2\(\frac{1}{6}\) = \(\frac{1}{6}\)
Question 22.
3\(\frac{1}{8}\) =
Answer:
3\(\frac{1}{8}\) = \(\frac{25}{8}\)
Question 23.
2\(\frac{7}{10}\) =
Answer:
2\(\frac{7}{10}\) = \(\frac{27}{10}\)
Question 24.
4\(\frac{9}{10}\) =
Answer:
4\(\frac{9}{10}\) =\(\frac{49}{10}\)
Question 25.
1\(\frac{1}{8}\) =
Answer:
1\(\frac{1}{8}\) = \(\frac{9}{8}\)
Question 26.
1\(\frac{5}{6}\) =
Answer:
1\(\frac{5}{6}\) = \(\frac{11}{6}\)
Question 27.
4\(\frac{5}{6}\) =
Answer:
4\(\frac{5}{6}\) = \(\frac{29}{6}\)
Question 28.
4\(\frac{5}{8}\) =
Answer:
4\(\frac{5}{8}\) = \(\frac{37}{8}\)
Question 29.
1\(\frac{5}{8}\) =
Answer:
1\(\frac{5}{8}\) = \(\frac{13}{8}\)
Question 30.
2\(\frac{3}{8}\) =
Answer:
2\(\frac{3}{8}\) = \(\frac{19}{8}\)
Question 31.
3\(\frac{3}{10}\) =
Answer:
3\(\frac{3}{10}\) = \(\frac{33}{10}\)
Question 32.
4\(\frac{7}{10}\) =
Answer:
4\(\frac{7}{10}\) = \(\frac{47}{10}\)
Question 33.
4\(\frac{4}{5}\) =
Answer:
4\(\frac{4}{5}\) = \(\frac{24}{5}\)
Question 34.
4\(\frac{1}{8}\) =
Answer:
4\(\frac{1}{8}\) = \(\frac{33}{8}\)
Question 35.
4\(\frac{3}{8}\) =
Answer:
4\(\frac{3}{8}\) = \(\frac{35}{8}\)
Question 36.
4\(\frac{7}{8}\) =
Answer:
4\(\frac{7}{8}\) = \(\frac{39}{8}\)
Question 37.
1\(\frac{5}{12}\) =
Answer:
1\(\frac{5}{12}\) = \(\frac{17}{12}\)
Question 38.
1\(\frac{7}{12}\) =
Answer:
1\(\frac{7}{12}\) = \(\frac{19}{12}\)
Question 39.
2\(\frac{1}{12}\) =
Answer:
2\(\frac{1}{12}\) = \(\frac{25}{12}\)
Question 40.
3\(\frac{1}{12}\) =
Answer:
3\(\frac{1}{12}\)= \(\frac{37}{12}\)
Question 41.
2\(\frac{7}{12}\) =
Answer:
2\(\frac{7}{12}\) = \(\frac{31}{12}\)
Question 42.
3\(\frac{5}{12}\) =
Answer:
3\(\frac{5}{12}\) = \(\frac{41}{12}\)
Question 43.
3\(\frac{11}{12}\) =
Answer:
3\(\frac{11}{12}\) = \(\frac{47}{12}\)
Question 44.
4\(\frac{7}{12}\) =
Answer:
4\(\frac{7}{12}\) = \(\frac{55}{12}\)
B
Change Mixed Numbers into Improper Fractions
Question 1.
1\(\frac{1}{2}\) =
Answer:
1\(\frac{1}{2}\) = \(\frac{3}{2}\)
Question 2.
2\(\frac{1}{2}\) =
Answer:
2\(\frac{1}{2}\) = \(\frac{5}{2}\)
Question 3.
3\(\frac{1}{2}\) =
Answer:
3\(\frac{1}{2}\) = \(\frac{7}{2}\)
Question 4.
4\(\frac{1}{2}\) =
Answer:
4\(\frac{1}{2}\) = \(\frac{9}{2}\)
Question 5.
1\(\frac{1}{3}\) =
Answer:
1\(\frac{1}{3}\) = \(\frac{4}{3}\)
Question 6.
1\(\frac{2}{3}\) =
Answer:
1\(\frac{2}{3}\) = \(\frac{5}{3}\)
Question 7.
1\(\frac{3}{10}\) =
Answer:
1\(\frac{3}{10}\) = \(\frac{13}{10}\)
Question 8.
1\(\frac{7}{10}\) =
Answer:
1\(\frac{7}{10}\) = \(\frac{17}{10}\)
Question 9.
1\(\frac{9}{10}\) =
Answer:
1\(\frac{9}{10}\) = \(\frac{19}{10}\)
Question 10.
2\(\frac{9}{10}\) =
Answer:
2\(\frac{9}{10}[/latex = [latex]\frac{29}{10}[/latex
Question 11.
3[latex]\frac{9}{10}\) =
Answer:
3\(\frac{9}{10}[/latex = [latex]\frac{39}{10}[/latex
Question 12.
2[latex]\frac{1}{3}\) =
Answer:
2\(\frac{1}{3}\) = \(\frac{7}{3}\)
Question 13.
2\(\frac{2}{3}\) =
Answer:
2\(\frac{2}{3}\) =\(\frac{8}{3}\)
Question 14.
3\(\frac{1}{3}\) =
Answer:
3\(\frac{1}{3}\) = \(\frac{10}{3}\)
Question 15.
3\(\frac{2}{3}\) =
Answer:
3\(\frac{2}{3}\) = \(\frac{11}{3}\)
Question 16.
4\(\frac{1}{4}\) =
Answer:
4\(\frac{1}{4}\) = \(\frac{17}{4}\)
Question 17.
4\(\frac{3}{4}\) =
Answer:
4\(\frac{3}{4}\) = \(\frac{19}{4}\)
Question 18.
2\(\frac{2}{5}\) =
Answer:
2\(\frac{2}{5}\) = \(\frac{12}{5}\)
Question 19.
3\(\frac{2}{5}\) =
Answer:
3\(\frac{2}{5}\) = \(\frac{17}{5}\)
Question 20.
4\(\frac{2}{5}\) =
Answer:
4\(\frac{2}{5}\) = \(\frac{22}{5}\)
Question 21.
3\(\frac{1}{6}\) =
Answer:
3\(\frac{1}{6}\) = \(\frac{19}{6}\)
Question 22.
2\(\frac{1}{8}\) =
Answer:
2\(\frac{1}{8}\) = \(\frac{17}{6}\)
Question 23.
2\(\frac{3}{10}\) =
Answer:
2\(\frac{3}{10}\) = \(\frac{23}{10}\)
Question 24.
3\(\frac{1}{10}\) =
Answer:
3\(\frac{1}{10}\) = \(\frac{31}{10}\)
Question 25.
1\(\frac{1}{6}\) =
Answer:
1\(\frac{1}{6}\) = \(\frac{7}{6}\)
Question 26.
1\(\frac{3}{8}\) =
Answer:
1\(\frac{3}{8}\) = \(\frac{11}{8}\)
Question 27.
3\(\frac{5}{6}\) =
Answer:
3\(\frac{5}{6}\) = \(\frac{23}{6}\)
Question 28.
3\(\frac{5}{8}\) =
Answer:
3\(\frac{5}{8}\) = \(\frac{29}{8}\)
Question 29.
2\(\frac{5}{8}\) =
Answer:
2\(\frac{5}{8}\) = \(\frac{21}{8}\)
Question 30.
1\(\frac{7}{8}\) =
Answer:
1\(\frac{7}{8}\) = \(\frac{15}{8}\)
Question 31.
4\(\frac{3}{10}\) =
Answer:
4\(\frac{3}{10}\) = \(\frac{43}{10}\)
Question 32.
3\(\frac{7}{10}\) =
Answer:
3\(\frac{7}{10}\) =\(\frac{37}{10}\)
Question 33.
2\(\frac{5}{6}\) =
Answer:
2\(\frac{5}{6}\) =\(\frac{17}{6}\)
Question 34.
2\(\frac{7}{8}\) =
Answer:
2\(\frac{7}{8}\) = \(\frac{23}{8}\)
Question 35.
3\(\frac{7}{8}\) =
Answer:
3\(\frac{7}{8}\) =\(\frac{31}{8}\)
Question 36.
4\(\frac{1}{6}\) =
Answer:
4\(\frac{1}{6}\) = \(\frac{25}{6}\)
Question 37.
1\(\frac{1}{12}\) =
Answer:
1\(\frac{1}{12}\) =\(\frac{13}{12}\)
Question 38.
1\(\frac{11}{12}\) =
Answer:
1\(\frac{11}{12}\) = \(\frac{23}{12}\)
Question 39.
4\(\frac{1}{12}\) =
Answer:
4\(\frac{1}{12}\) = \(\frac{49}{12}\)
Question 40.
2\(\frac{5}{12}\) =
Answer:
2\(\frac{5}{12}\) = \(\frac{29}{12}\)
Question 41.
2\(\frac{11}{12}\) =
Answer:
2\(\frac{11}{12}\) = \(\frac{35}{12}\)
Question 42.
3\(\frac{7}{12}\) =
Answer:
3\(\frac{7}{12}\) = \(\frac{43}{12}\)
Question 43.
4\(\frac{5}{12}\) =
Answer:
4\(\frac{5}{12}\) = \(\frac{53}{12}\)
Question 44.
4\(\frac{11}{12}\) =
Answer:
4\(\frac{11}{12}\) = \(\frac{59}{12}\)
Eureka Math Grade 5 Module 6 Lesson 23 Homework Answer Key
Question 1.
In the diagram, the length of Figure S is \(\frac{1}{2}\) the length of Figure T. If S has an area of 368 cm2, find the perimeter of the figure.
Answer:
Length of Figure T = x
length of Figure S = \(\frac{1}{2}\) the length of Figure T = \(\frac{x}{2}\) .
Breadth = 16 cm
Area of Figure S = 368 cm2,
Area = Length × Breadth = \(\frac{x}{2}\) × 16 = 368
\(\frac{x}{2}\) = 23
x = 24 cms.
Length of figure S = \(\frac{x}{2}\) = 23 cms .
Length of figure T = x = 46 cms .
Total Length of Figure S and T = 23 + 46 = 69 cms
Perimeter of given Figure = S +T = 2 ( l + b) = 2 ( 69 + 16 ) = 2 ( 85 ) = 170 cms .
The following problems are puzzles for your enjoyment. They are intended to encourage working together and family problem-solving fun and are not a required element of this homework assignment.
Question 2.
Take 12 matchsticks arranged in a grid as shown below, and remove 2 matchsticks so 2 squares remain. How can you do this? Draw the new arrangement.
Answer:
If we remove any one vertical match sticks or one horizontal match sticks in the middle then 2 squares will be remained and is shown in below figure .
Question 3.
Moving only 3 matchsticks makes the fish turn around and swim the opposite way. Which matchsticks did you move? Draw the new shape.
Answer:
