# Eureka Math Grade 5 Module 3 Lesson 5 Answer Key

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

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

A
Subtracting Fractions from a Whole Number

Question 1.
4 – $$\frac{1}{2}$$ =
4 – $$\frac{1}{2}$$ = 3$$\frac{1}{2}$$
Explanation :
4 – $$\frac{1}{2}$$ = $$\frac{8}{2}$$ – $$\frac{1}{2}$$ = $$\frac{7}{2}$$ = 3$$\frac{1}{2}$$

Question 2.
3 – $$\frac{1}{2}$$ =
3 – $$\frac{1}{2}$$ = 2$$\frac{1}{2}$$
Explanation :
3 – $$\frac{1}{2}$$ = $$\frac{6}{2}$$ – $$\frac{1}{2}$$ = $$\frac{5}{2}$$ = 2$$\frac{1}{2}$$

Question 3.
2 – $$\frac{1}{2}$$ =
2 – $$\frac{1}{2}$$ = 1$$\frac{1}{2}$$
Explanation :
2 – $$\frac{1}{2}$$ = $$\frac{4}{2}$$ – $$\frac{1}{2}$$ = $$\frac{3}{2}$$ = 1$$\frac{1}{2}$$

Question 4.
1 – $$\frac{1}{2}$$ =
1 – $$\frac{1}{2}$$ = $$\frac{1}{2}$$
Explanation :
1 – $$\frac{1}{2}$$ = $$\frac{2}{2}$$ – $$\frac{1}{2}$$ = $$\frac{1}{2}$$

Question 5.
1 – $$\frac{1}{3}$$ =
1 – $$\frac{1}{3}$$ = $$\frac{2}{3}$$
Explanation :
1 – $$\frac{1}{3}$$ = $$\frac{3}{3}$$ – $$\frac{1}{3}$$ = $$\frac{2}{3}$$

Question 6.
2 – $$\frac{1}{3}$$ =
2 – $$\frac{1}{3}$$ = 1$$\frac{2}{3}$$
Explanation :
2 – $$\frac{1}{3}$$ = $$\frac{6}{3}$$ – $$\frac{1}{3}$$ = $$\frac{5}{3}$$ = 1$$\frac{2}{3}$$

Question 7.
4 – $$\frac{1}{3}$$ =
4 – $$\frac{1}{3}$$ = 3$$\frac{2}{3}$$
Explanation :
4 – $$\frac{1}{3}$$ = $$\frac{12}{3}$$ – $$\frac{1}{3}$$ = $$\frac{11}{3}$$ = 3$$\frac{2}{3}$$

Question 8.
4 – $$\frac{2}{3}$$ =
4 – $$\frac{2}{3}$$ = 3$$\frac{1}{3}$$
Explanation :
4 – $$\frac{2}{3}$$ = $$\frac{12}{3}$$ – $$\frac{2}{3}$$ = $$\frac{10}{3}$$ = 3$$\frac{1}{3}$$

Question 9.
2 – $$\frac{2}{3}$$ =
2 – $$\frac{1}{3}$$ = 1$$\frac{2}{3}$$
Explanation :
2 – $$\frac{1}{3}$$ = $$\frac{6}{3}$$ – $$\frac{1}{3}$$ = $$\frac{5}{3}$$ = 1$$\frac{2}{3}$$

Question 10.
2 – $$\frac{1}{4}$$ =
2 – $$\frac{1}{4}$$ = 1$$\frac{3}{4}$$
Explanation :
2 – $$\frac{1}{4}$$ = $$\frac{8}{4}$$ – $$\frac{1}{4}$$ = $$\frac{7}{4}$$ = 1$$\frac{3}{4}$$

Question 11.
2 – $$\frac{3}{4}$$ =
2 – $$\frac{3}{4}$$ = 1$$\frac{1}{4}$$
Explanation :
2 – $$\frac{3}{4}$$ = $$\frac{8}{4}$$ – $$\frac{3}{4}$$ = $$\frac{5}{4}$$ = 1$$\frac{1}{4}$$

Question 12.
3 – $$\frac{3}{4}$$ =
3 – $$\frac{3}{4}$$ = 2$$\frac{1}{4}$$
Explanation :
3 – $$\frac{3}{4}$$ = $$\frac{12}{4}$$ – $$\frac{3}{4}$$ = $$\frac{9}{4}$$ = 2$$\frac{1}{4}$$

Question 13.
3 – $$\frac{1}{4}$$ =
3 – $$\frac{1}{4}$$ = 2$$\frac{3}{4}$$
Explanation :
3 – $$\frac{1}{4}$$ = $$\frac{12}{4}$$ – $$\frac{1}{4}$$ = $$\frac{11}{4}$$ = 2$$\frac{3}{4}$$

Question 14.
4 – $$\frac{3}{4}$$ =
4 – $$\frac{3}{4}$$ = 3$$\frac{1}{4}$$
Explanation :
4 – $$\frac{3}{4}$$ = $$\frac{16}{4}$$ – $$\frac{3}{4}$$ = $$\frac{13}{4}$$ = 3$$\frac{1}{4}$$

Question 15.
2 – $$\frac{1}{10}$$ =
2 – $$\frac{1}{10}$$ = 1$$\frac{9}{10}$$
Explanation :
2 – $$\frac{1}{10}$$ = $$\frac{20}{10}$$ – $$\frac{1}{10}$$ = $$\frac{19}{10}$$ = 1$$\frac{9}{10}$$

Question 16.
3 – $$\frac{9}{10}$$ =
3 – $$\frac{9}{10}$$ = 2$$\frac{1}{10}$$
Explanation :
3 – $$\frac{9}{10}$$ = $$\frac{30}{10}$$ – $$\frac{9}{10}$$ = $$\frac{21}{10}$$ = 2$$\frac{1}{10}$$

Question 17.
2 – $$\frac{7}{10}$$ =
2 – $$\frac{7}{10}$$ = 1$$\frac{3}{10}$$
Explanation :
2 – $$\frac{7}{10}$$ = $$\frac{20}{10}$$ – $$\frac{7}{10}$$ = $$\frac{13}{10}$$ = 1$$\frac{3}{10}$$

Question 18.
4 – $$\frac{3}{10}$$ =
4 – $$\frac{1}{10}$$ = 3$$\frac{9}{10}$$
Explanation :
4 – $$\frac{1}{10}$$ = $$\frac{40}{10}$$ – $$\frac{1}{10}$$ = $$\frac{39}{10}$$ = 3$$\frac{9}{10}$$

Question 19.
3 – $$\frac{1}{5}$$ =
3 – $$\frac{1}{5}$$ = 2$$\frac{4}{5}$$
Explanation :
3 – $$\frac{1}{5}$$ = $$\frac{15}{5}$$ – $$\frac{1}{5}$$ = $$\frac{14}{5}$$ = 2$$\frac{4}{5}$$

Question 20.
3 – $$\frac{2}{5}$$ =
3 – $$\frac{2}{5}$$ = 2$$\frac{3}{5}$$
Explanation :
3 – $$\frac{2}{5}$$ = $$\frac{15}{5}$$ – $$\frac{2}{5}$$ = $$\frac{13}{5}$$ = 2$$\frac{3}{5}$$

Question 21.
3 – $$\frac{4}{5}$$ =
3 – $$\frac{4}{5}$$ = 2$$\frac{1}{5}$$
Explanation :
3 – $$\frac{4}{5}$$ = $$\frac{15}{5}$$ – $$\frac{4}{5}$$ = $$\frac{11}{5}$$ = 2$$\frac{1}{5}$$

Question 22.
3 – $$\frac{3}{5}$$ =
3 – $$\frac{3}{5}$$ = 2$$\frac{2}{5}$$
Explanation :
3 – $$\frac{3}{5}$$ = $$\frac{15}{5}$$ – $$\frac{3}{5}$$ = $$\frac{12}{5}$$ = 2$$\frac{2}{5}$$

Question 23.
3 – $$\frac{1}{8}$$ =
3 – $$\frac{1}{8}$$ = 2$$\frac{7}{8}$$
Explanation :
3 – $$\frac{1}{8}$$ = $$\frac{24}{8}$$ – $$\frac{1}{8}$$ = $$\frac{23}{8}$$ = 2$$\frac{7}{8}$$

Question 24.
3 – $$\frac{3}{8}$$ =
3 – $$\frac{3}{8}$$ = 2$$\frac{5}{8}$$
Explanation :
3 – $$\frac{3}{8}$$ = $$\frac{24}{8}$$ – $$\frac{3}{8}$$ = $$\frac{21}{8}$$ = 2$$\frac{5}{8}$$

Question 25.
3 – $$\frac{5}{8}$$ =
3 – $$\frac{5}{8}$$ = 2$$\frac{3}{8}$$
Explanation :
3 – $$\frac{5}{8}$$ = $$\frac{24}{8}$$ – $$\frac{5}{8}$$ = $$\frac{19}{8}$$ = 2$$\frac{3}{8}$$

Question 26.
3 – $$\frac{7}{8}$$ =
3 – $$\frac{7}{8}$$ = 2$$\frac{1}{8}$$
Explanation :
3 – $$\frac{7}{8}$$ = $$\frac{24}{8}$$ – $$\frac{7}{8}$$ = $$\frac{17}{8}$$ = 2$$\frac{1}{8}$$

Question 27.
2 – $$\frac{7}{8}$$ =
2 – $$\frac{7}{8}$$ = 1$$\frac{1}{8}$$
Explanation :
2 – $$\frac{7}{8}$$ = $$\frac{16}{8}$$ – $$\frac{7}{8}$$ = $$\frac{9}{8}$$ = 1$$\frac{1}{8}$$

Question 28.
4 – $$\frac{1}{7}$$ =
4 – $$\frac{1}{7}$$ = 3$$\frac{6}{7}$$
Explanation :
4 – $$\frac{1}{7}$$ = $$\frac{28}{7}$$ – $$\frac{1}{7}$$ = $$\frac{27}{7}$$ = 3$$\frac{6}{7}$$

Question 29.
3 – $$\frac{6}{7}$$ =
3 – $$\frac{6}{7}$$ = 2$$\frac{1}{7}$$
Explanation :
3 – $$\frac{6}{7}$$ = $$\frac{21}{7}$$ – $$\frac{6}{7}$$ = $$\frac{15}{7}$$ = 2$$\frac{1}{7}$$

Question 30.
2 – $$\frac{3}{7}$$ =
2 – $$\frac{3}{7}$$ =
2 – $$\frac{3}{7}$$ = 1$$\frac{4}{7}$$
Explanation :
2 – $$\frac{3}{7}$$ = $$\frac{14}{7}$$ – $$\frac{3}{7}$$ = $$\frac{11}{7}$$ = 1$$\frac{4}{7}$$

Question 31.
4 – $$\frac{4}{7}$$ =
4 – $$\frac{4}{7}$$ =
4 – $$\frac{4}{7}$$ = 3$$\frac{3}{7}$$
Explanation :
4 – $$\frac{4}{7}$$ = $$\frac{28}{7}$$ – $$\frac{4}{7}$$ = $$\frac{24}{7}$$ = 3$$\frac{3}{7}$$

Question 32.
3 – $$\frac{5}{7}$$ =
3 – $$\frac{5}{7}$$ = 2$$\frac{2}{7}$$
Explanation :
3 – $$\frac{5}{7}$$ = $$\frac{21}{7}$$ – $$\frac{5}{7}$$ = $$\frac{16}{7}$$ = 2$$\frac{2}{7}$$

Question 33.
4 – $$\frac{3}{4}$$ =
4 – $$\frac{3}{4}$$ = 3$$\frac{1}{4}$$
Explanation :
4 – $$\frac{3}{4}$$ = $$\frac{16}{4}$$ – $$\frac{3}{4}$$ = $$\frac{13}{4}$$ = 3$$\frac{1}{4}$$

Question 34.
2 – $$\frac{5}{8}$$ =
2 – $$\frac{5}{8}$$ = 1$$\frac{3}{8}$$
Explanation :
2 – $$\frac{5}{8}$$ = $$\frac{16}{8}$$ – $$\frac{5}{8}$$ = $$\frac{11}{8}$$ = 1$$\frac{3}{8}$$

Question 35.
3 – $$\frac{3}{10}$$ =
3 – $$\frac{3}{10}$$ = 2$$\frac{7}{10}$$
Explanation :
3 – $$\frac{3}{10}$$ = $$\frac{30}{10}$$ – $$\frac{3}{10}$$ = $$\frac{27}{10}$$ = 2$$\frac{7}{10}$$

Question 36.
4 – $$\frac{2}{5}$$ =
4 – $$\frac{2}{5}$$ = 3$$\frac{3}{5}$$
Explanation :
4 – $$\frac{2}{5}$$ = $$\frac{20}{5}$$ – $$\frac{2}{5}$$ = $$\frac{18}{5}$$ = 3$$\frac{3}{5}$$

Question 37.
4 – $$\frac{3}{7}$$ =
4 – $$\frac{3}{7}$$ =
4 – $$\frac{3}{7}$$ = 3$$\frac{4}{7}$$
Explanation :
4 – $$\frac{3}{7}$$ = $$\frac{28}{7}$$ – $$\frac{3}{7}$$ = $$\frac{25}{7}$$ = 3$$\frac{4}{7}$$

Question 38.
3 – $$\frac{7}{10}$$ =
3 – $$\frac{7}{10}$$ = 2$$\frac{3}{10}$$
Explanation :
3 – $$\frac{7}{10}$$ = $$\frac{30}{10}$$ – $$\frac{7}{10}$$ = $$\frac{23}{10}$$ = 2$$\frac{3}{10}$$

Question 39.
3 – $$\frac{5}{10}$$ =
3 – $$\frac{5}{10}$$ = 2$$\frac{5}{10}$$
Explanation :
3 – $$\frac{5}{10}$$ = $$\frac{30}{10}$$ – $$\frac{5}{10}$$ = $$\frac{25}{10}$$ = 2$$\frac{5}{10}$$

Question 40.
4 – $$\frac{2}{8}$$ =
4 – $$\frac{2}{8}$$ = 3$$\frac{6}{8}$$
Explanation :
4 – $$\frac{2}{8}$$ = $$\frac{32}{8}$$ – $$\frac{2}{8}$$ = $$\frac{30}{8}$$ = 3$$\frac{6}{8}$$

Question 41.
2 – $$\frac{9}{12}$$ =
2 – $$\frac{9}{12}$$ = 2 – $$\frac{3}{4}$$ = 1$$\frac{1}{4}$$
Explanation :
2 – $$\frac{3}{4}$$ = $$\frac{8}{4}$$ – $$\frac{3}{4}$$ = $$\frac{5}{4}$$ = 1$$\frac{1}{4}$$

Question 42.
4 – $$\frac{2}{12}$$ = 3$$\frac{5}{6}$$
4 – $$\frac{2}{12}$$ = 4 – $$\frac{1}{6}$$ = 3$$\frac{5}{6}$$
Explanation :
4 – $$\frac{1}{6}$$ = $$\frac{24}{6}$$ – $$\frac{1}{6}$$ = $$\frac{23}{6}$$ = 3$$\frac{5}{6}$$

Question 43.
3 – $$\frac{2}{6}$$ =
3 – $$\frac{2}{6}$$ = 3 – $$\frac{1}{3}$$ = 2$$\frac{2}{3}$$
Explanation :
3 – $$\frac{1}{3}$$ = $$\frac{9}{3}$$ – $$\frac{1}{3}$$ = $$\frac{8}{3}$$ = 2$$\frac{2}{3}$$

Question 44.
2 – $$\frac{8}{12}$$ =
2 – $$\frac{8}{12}$$ = 2 – $$\frac{2}{3}$$ = 1$$\frac{1}{3}$$
Explanation :
2 – $$\frac{2}{3}$$ = $$\frac{6}{3}$$ – $$\frac{2}{3}$$ = $$\frac{4}{3}$$ = 2$$\frac{1}{3}$$

B
Subtracting Fractions from a Whole Number

Question 1.
1 – $$\frac{1}{2}$$ =
1 – $$\frac{1}{2}$$ = $$\frac{1}{2}$$
Explanation :
1 – $$\frac{1}{2}$$ = $$\frac{2}{2}$$ – $$\frac{1}{2}$$ = $$\frac{1}{2}$$

Question 2.
2 – $$\frac{1}{2}$$ =
2 – $$\frac{1}{2}$$ = 1$$\frac{1}{2}$$
Explanation :
2 – $$\frac{1}{2}$$ = $$\frac{4}{2}$$ – $$\frac{1}{2}$$ = $$\frac{3}{2}$$ = 1$$\frac{1}{2}$$

Question 3.
3 – $$\frac{1}{2}$$ =
3 – $$\frac{1}{2}$$ = 2$$\frac{1}{2}$$
Explanation :
3 – $$\frac{1}{2}$$ = $$\frac{6}{2}$$ – $$\frac{1}{2}$$ = $$\frac{5}{2}$$ = 2$$\frac{1}{2}$$

Question 4.
4 – $$\frac{1}{2}$$ =
4 – $$\frac{1}{2}$$ = 3$$\frac{1}{2}$$
Explanation :
4 – $$\frac{1}{2}$$ = $$\frac{8}{2}$$ – $$\frac{1}{2}$$ = $$\frac{7}{2}$$ = 3$$\frac{1}{2}$$

Question 5.
1 – $$\frac{1}{4}$$ =
1 – $$\frac{1}{4}$$ = $$\frac{3}{4}$$
Explanation :
1 – $$\frac{1}{4}$$ = $$\frac{4}{4}$$ – $$\frac{1}{4}$$ = $$\frac{3}{4}$$

Question 6.
2 – $$\frac{1}{4}$$ =
2 – $$\frac{1}{4}$$ = 1$$\frac{3}{4}$$
Explanation :
2 – $$\frac{1}{4}$$ = $$\frac{8}{4}$$ – $$\frac{1}{4}$$ = $$\frac{7}{4}$$ = 1$$\frac{3}{4}$$

Question 7.
4 – $$\frac{1}{4}$$ =
4 – $$\frac{1}{4}$$ = 3$$\frac{3}{4}$$
Explanation :
4 – $$\frac{1}{4}$$ = $$\frac{16}{4}$$ – $$\frac{1}{4}$$ = $$\frac{15}{4}$$ = 3$$\frac{3}{4}$$

Question 8.
4 – $$\frac{3}{4}$$ =
4 – $$\frac{3}{4}$$ = 3$$\frac{1}{4}$$
Explanation :
4 – $$\frac{3}{4}$$ = $$\frac{16}{4}$$ – $$\frac{3}{4}$$ = $$\frac{13}{4}$$ = 3$$\frac{1}{4}$$

Question 9.
2 – $$\frac{3}{4}$$ =
2 – $$\frac{3}{4}$$ = 1$$\frac{1}{4}$$
Explanation :
2 – $$\frac{3}{4}$$ = $$\frac{8}{4}$$ – $$\frac{3}{4}$$ = $$\frac{5}{4}$$ = 1$$\frac{1}{4}$$

Question 10.
2 – $$\frac{1}{3}$$ =
2 – $$\frac{1}{3}$$ = 1$$\frac{2}{3}$$
Explanation :
2 – $$\frac{1}{3}$$ = $$\frac{6}{3}$$ – $$\frac{1}{3}$$ = $$\frac{5}{3}$$ = 1$$\frac{2}{3}$$

Question 11.
2 – $$\frac{2}{3}$$ =
2 – $$\frac{2}{3}$$ = 1$$\frac{1}{3}$$
Explanation :
2 – $$\frac{2}{3}$$ = $$\frac{6}{3}$$ – $$\frac{2}{3}$$ = $$\frac{4}{3}$$ = 1$$\frac{1}{3}$$

Question 12.
3 – $$\frac{2}{3}$$ =
3 – $$\frac{2}{3}$$ = 2$$\frac{1}{3}$$
Explanation :
3 – $$\frac{2}{3}$$ = $$\frac{9}{3}$$ – $$\frac{2}{3}$$ = $$\frac{7}{3}$$ = 2$$\frac{1}{3}$$

Question 13.
3 – $$\frac{1}{3}$$ =
3 – $$\frac{1}{3}$$ = 2$$\frac{2}{3}$$
Explanation :
3 – $$\frac{1}{3}$$ = $$\frac{9}{3}$$ – $$\frac{1}{3}$$ = $$\frac{8}{3}$$ = 2$$\frac{2}{3}$$

Question 14.
4 – $$\frac{2}{3}$$ =
4 – $$\frac{2}{3}$$ = 3$$\frac{1}{3}$$
Explanation :
4 – $$\frac{2}{3}$$ = $$\frac{12}{3}$$ – $$\frac{2}{3}$$ = $$\frac{10}{3}$$ = 3$$\frac{1}{3}$$

Question 15.
3 – $$\frac{1}{10}$$ =
3 – $$\frac{1}{10}$$ = 2$$\frac{9}{10}$$
Explanation :
3 – $$\frac{1}{10}$$ = $$\frac{30}{10}$$ – $$\frac{9}{10}$$ = $$\frac{21}{10}$$ = 2$$\frac{1}{10}$$

Question 16.
2 – $$\frac{9}{10}$$ =
2 – $$\frac{9}{10}$$ = 1$$\frac{1}{10}$$
Explanation :
2 – $$\frac{9}{10}$$ = $$\frac{20}{10}$$ – $$\frac{9}{10}$$ = $$\frac{11}{10}$$ = 1$$\frac{1}{10}$$

Question 17.
4 – $$\frac{7}{10}$$ =
4 – $$\frac{7}{10}$$ = 3$$\frac{3}{10}$$
Explanation :
4 – $$\frac{7}{10}$$ = $$\frac{40}{10}$$ – $$\frac{7}{10}$$ = $$\frac{33}{10}$$ = 3$$\frac{3}{10}$$

Question 18.
3 – $$\frac{3}{10}$$ =
3 – $$\frac{3}{10}$$ = 2$$\frac{7}{10}$$
Explanation :
3 – $$\frac{3}{10}$$ = $$\frac{30}{10}$$ – $$\frac{3}{10}$$ = $$\frac{27}{10}$$ = 2$$\frac{7}{10}$$

Question 19.
2 – $$\frac{1}{5}$$ =
2 – $$\frac{1}{5}$$ = 1$$\frac{4}{5}$$
Explanation :
2 – $$\frac{1}{5}$$ = $$\frac{10}{5}$$ – $$\frac{1}{5}$$ = $$\frac{9}{5}$$ = 1$$\frac{4}{5}$$

Question 20.
2 – $$\frac{2}{5}$$ =
2 – $$\frac{2}{5}$$ = 1$$\frac{3}{5}$$
Explanation :
2 – $$\frac{2}{5}$$ = $$\frac{10}{5}$$ – $$\frac{2}{5}$$ = $$\frac{8}{5}$$ = 1$$\frac{3}{5}$$

Question 21.
2 – $$\frac{4}{5}$$ =
2 – $$\frac{4}{5}$$ = 1$$\frac{1}{5}$$
Explanation :
2 – $$\frac{1}{5}$$ = $$\frac{10}{5}$$ – $$\frac{4}{5}$$ = $$\frac{6}{5}$$ = 1$$\frac{1}{5}$$

Question 22.
3 – $$\frac{3}{5}$$ =
3 – $$\frac{3}{5}$$ = 2$$\frac{2}{5}$$
Explanation :
3 – $$\frac{3}{5}$$ = $$\frac{15}{5}$$ – $$\frac{3}{5}$$ = $$\frac{12}{5}$$ = 2$$\frac{2}{5}$$

Question 23.
2 – $$\frac{1}{8}$$ =
2 – $$\frac{1}{8}$$ = 1$$\frac{7}{8}$$
Explanation :
2 – $$\frac{1}{8}$$ = $$\frac{16}{8}$$ – $$\frac{1}{8}$$ = $$\frac{15}{8}$$ = 1$$\frac{7}{8}$$

Question 24.
2 – $$\frac{3}{8}$$ =
2 – $$\frac{3}{8}$$ = 1$$\frac{5}{8}$$
Explanation :
2 – $$\frac{3}{8}$$ = $$\frac{16}{8}$$ – $$\frac{3}{8}$$ = $$\frac{13}{8}$$ = 1$$\frac{4}{8}$$

Question 25.
2 – $$\frac{5}{8}$$ =
2 – $$\frac{5}{8}$$ = 1$$\frac{3}{8}$$
Explanation :
2 – $$\frac{5}{8}$$ = $$\frac{16}{8}$$ – $$\frac{5}{8}$$ = $$\frac{11}{8}$$ = 1$$\frac{3}{8}$$

Question 26.
2 – $$\frac{7}{8}$$ =
2 – $$\frac{7}{8}$$ = 1$$\frac{1}{8}$$
Explanation :
2 – $$\frac{7}{8}$$ = $$\frac{16}{8}$$ – $$\frac{7}{8}$$ = $$\frac{9}{8}$$ = 1$$\frac{1}{8}$$

Question 27.
4 – $$\frac{7}{8}$$ =
4 – $$\frac{7}{8}$$ = 3$$\frac{1}{8}$$
Explanation :
4 – $$\frac{7}{8}$$ = $$\frac{32}{8}$$ – $$\frac{3}{8}$$ = $$\frac{13}{8}$$ = 1$$\frac{4}{8}$$

Question 28.
3 – $$\frac{1}{7}$$ =
3 – $$\frac{1}{7}$$ = 2$$\frac{6}{7}$$
Explanation :
3 – $$\frac{1}{7}$$ = $$\frac{21}{7}$$ – $$\frac{1}{7}$$ = $$\frac{20}{7}$$ = 2$$\frac{6}{7}$$

Question 29.
2 – $$\frac{6}{7}$$ =
2 – $$\frac{6}{7}$$ = 1$$\frac{1}{7}$$
Explanation :
2 – $$\frac{6}{7}$$ = $$\frac{14}{7}$$ – $$\frac{6}{7}$$ = $$\frac{8}{7}$$ = 1$$\frac{1}{7}$$

Question 30.
4 – $$\frac{3}{7}$$ =
4 – $$\frac{3}{7}$$ = 3$$\frac{4}{7}$$
Explanation :
4 – $$\frac{3}{7}$$ = $$\frac{28}{7}$$ – $$\frac{3}{7}$$ = $$\frac{25}{7}$$ = 3$$\frac{4}{7}$$

Question 31.
3 – $$\frac{4}{7}$$ =
3 – $$\frac{4}{7}$$ = 2$$\frac{3}{7}$$
Explanation :
3 – $$\frac{4}{7}$$ = $$\frac{21}{7}$$ – $$\frac{4}{7}$$ = $$\frac{17}{7}$$ = 2$$\frac{3}{7}$$

Question 32.
2 – $$\frac{5}{7}$$ =
2 – $$\frac{5}{7}$$ = 1$$\frac{2}{7}$$
Explanation :
2 – $$\frac{5}{7}$$ = $$\frac{14}{7}$$ – $$\frac{5}{7}$$ = $$\frac{9}{7}$$ = 1$$\frac{2}{7}$$

Question 33.
3 – $$\frac{3}{4}$$ =
3 – $$\frac{3}{4}$$ = 2$$\frac{1}{4}$$
Explanation :
3 – $$\frac{3}{4}$$ = $$\frac{12}{4}$$ – $$\frac{3}{4}$$ = $$\frac{9}{4}$$ = 2$$\frac{1}{4}$$

Question 34.
4 – $$\frac{5}{8}$$ =
4 – $$\frac{5}{8}$$ = 3$$\frac{3}{8}$$
Explanation :
4 – $$\frac{5}{8}$$ = $$\frac{32}{8}$$ – $$\frac{5}{8}$$ = $$\frac{27}{8}$$ = 3$$\frac{3}{8}$$

Question 35.
2 – $$\frac{3}{10}$$ =
2 – $$\frac{3}{10}$$ = 1$$\frac{7}{10}$$
Explanation :
2 – $$\frac{3}{10}$$ = $$\frac{20}{10}$$ – $$\frac{3}{10}$$ = $$\frac{17}{10}$$ = 1$$\frac{7}{10}$$

Question 36.
3 – $$\frac{2}{5}$$ =
3 – $$\frac{2}{5}$$ = 2$$\frac{3}{5}$$
Explanation :
3 – $$\frac{2}{5}$$ = $$\frac{15}{5}$$ – $$\frac{2}{5}$$ = $$\frac{13}{5}$$ = 2$$\frac{3}{5}$$

Question 37.
3 – $$\frac{3}{7}$$ =
3 – $$\frac{3}{7}$$ = 2$$\frac{4}{7}$$
Explanation :
3 – $$\frac{3}{7}$$ = $$\frac{21}{7}$$ – $$\frac{3}{7}$$ = $$\frac{18}{7}$$ = 2$$\frac{4}{7}$$

Question 38.
2 – $$\frac{7}{10}$$ =
2 – $$\frac{7}{10}$$ = 1$$\frac{3}{10}$$
Explanation :
2 – $$\frac{7}{10}$$ = $$\frac{20}{10}$$ – $$\frac{7}{10}$$ = $$\frac{13}{10}$$ = 1$$\frac{3}{10}$$

Question 39.
2 – $$\frac{5}{10}$$ =
2 – $$\frac{5}{10}$$ = 1$$\frac{1}{2}$$
Explanation :
2 – $$\frac{5}{10}$$ = $$\frac{20}{10}$$ – $$\frac{5}{10}$$ = $$\frac{15}{10}$$ = $$\frac{3}{2}$$ = 1$$\frac{1}{2}$$

Question 40.
3 – $$\frac{6}{8}$$ =
3 – $$\frac{6}{8}$$ = 2$$\frac{1}{4}$$
Explanation :
3 – $$\frac{6}{8}$$ = $$\frac{24}{8}$$ – $$\frac{6}{8}$$ = $$\frac{18}{8}$$ = 2$$\frac{1}{4}$$

Question 41.
4 – $$\frac{3}{12}$$ =
4 – $$\frac{3}{12}$$ = 4 – $$\frac{1}{4}$$ = 3$$\frac{3}{4}$$
Explanation :
4 – $$\frac{1}{4}$$ = $$\frac{16}{4}$$ – $$\frac{1}{4}$$ = $$\frac{15}{4}$$ = 3$$\frac{3}{4}$$

Question 42.
3 – $$\frac{10}{12}$$ =
3 – $$\frac{10}{12}$$ = 3 – $$\frac{5}{6}$$ = 2$$\frac{1}{6}$$
Explanation :
3 – $$\frac{5}{6}$$ = $$\frac{18}{6}$$ – $$\frac{5}{6}$$ = $$\frac{13}{6}$$ = 2$$\frac{1}{6}$$

Question 43.
2 – $$\frac{4}{6}$$ =
2 – $$\frac{4}{6}$$ = 2 – $$\frac{2}{3}$$ = 1$$\frac{1}{3}$$
Explanation :
2 – $$\frac{2}{3}$$ = $$\frac{6}{3}$$ – $$\frac{2}{3}$$ = $$\frac{4}{3}$$ = 1$$\frac{1}{3}$$

Question 44.
4 – $$\frac{4}{12}$$ =
4 – $$\frac{4}{12}$$ = 4 – $$\frac{1}{3}$$ = 3$$\frac{2}{3}$$
Explanation :
4 – $$\frac{1}{3}$$ = $$\frac{12}{3}$$ – $$\frac{1}{3}$$ = $$\frac{11}{3}$$ = 3$$\frac{2}{3}$$

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

Question 1.
For the following problems, draw a picture using the rectangular fraction model and write the answer. Simplify your answer, if possible.
a. $$\frac{1}{3}$$ – $$\frac{1}{4}$$ =
b. $$\frac{2}{3}$$ – $$\frac{1}{2}$$ =
c. $$\frac{5}{6}$$ – $$\frac{1}{4}$$ =
d. $$\frac{2}{3}$$ – $$\frac{1}{7}$$ =
e. $$\frac{3}{4}$$ – $$\frac{3}{8}$$ =
f. $$\frac{3}{4}$$ – $$\frac{2}{7}$$ =
a.
$$\frac{1}{3}$$ – $$\frac{1}{4}$$
L.c.m of 3 and 4 is 12
$$\frac{4}{12}$$ – $$\frac{3}{12}$$ = $$\frac{1}{12}$$

b.
$$\frac{2}{3}$$ – $$\frac{1}{2}$$
lcm of 3 and 2 is 6
$$\frac{4}{6}$$ – $$\frac{3}{6}$$ = $$\frac{1}{6}$$

c.
$$\frac{5}{6}$$ – $$\frac{1}{4}$$
lcm of 6 and 4 is 12
$$\frac{10}{12}$$ – $$\frac{3}{12}$$ = $$\frac{7}{12}$$

d.
$$\frac{2}{3}$$ – $$\frac{1}{7}$$
lcm of 3 and 7 is 21 .
$$\frac{14}{21}$$ – $$\frac{3}{21}$$  = $$\frac{11}{21}$$

e.
$$\frac{3}{4}$$ – $$\frac{3}{8}$$
lcm of 4 and 8 is 8
$$\frac{6}{8}$$ – $$\frac{3}{8}$$ = $$\frac{3}{8}$$

f.
$$\frac{3}{4}$$ – $$\frac{2}{7}$$
lcm of 4 and 7 is 28
$$\frac{21}{28}$$ – $$\frac{8}{28}$$ = $$\frac{13}{28}$$

Question 2.
Mr. Penman had $$\frac{2}{3}$$ liter of salt water. He used $$\frac{1}{5}$$ of a liter for an experiment. How much salt water does Mr. Penman have left?
Quantity of salt water = $$\frac{2}{3}$$
Quantity of salt water used = $$\frac{1}{5}$$
Quantity of salt water left = $$\frac{2}{3}$$ – $$\frac{1}{5}$$ = $$\frac{10}{15}$$ – $$\frac{3}{15}$$
= $$\frac{7}{15}$$ .

Question 3.
Sandra says that $$\frac{4}{7}$$ – $$\frac{1}{3}$$ = $$\frac{3}{4}$$ because all you have to do is subtract the numerators and subtract the denominators. Convince Sandra that she is wrong. You may draw a rectangular fraction model to support your thinking.
No, $$\frac{4}{7}$$ – $$\frac{1}{3}$$ = $$\frac{5}{21}$$ not $$\frac{3}{4}$$

Explanation :
$$\frac{4}{7}$$ – $$\frac{1}{3}$$ = $$\frac{12}{21}$$ – $$\frac{7}{21}$$ =  $$\frac{5}{21}$$
no, first find the l.c.m of the denominators that is lcm of 7 and 3 is 21 . then multiply the denominators to make 21 and and also multiply same number with the numerator . then after making denominators equal subtract the numerators .

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

For the following problems, draw a picture using the rectangular fraction model and write the answer. Simplify your answer, if possible.
a. $$\frac{1}{2}$$ – $$\frac{1}{7}$$ =
b. $$\frac{3}{5}$$ – $$\frac{1}{2}$$ =
a.
$$\frac{1}{2}$$ – $$\frac{1}{7}$$
lcm of 2 and 7 is 14
$$\frac{7}{14}$$ – $$\frac{2}{14}$$ = $$\frac{5}{14}$$

b.
$$\frac{3}{5}$$ – $$\frac{1}{2}$$
lcm of 5 and 2 is 10 .
$$\frac{6}{10}$$ – $$\frac{5}{10}$$ = $$\frac{1}{10}$$

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

Question 1.
The picture below shows $$\frac{3}{4}$$ of the rectangle shaded. Use the picture to show how to create an equivalent fraction for $$\frac{3}{4}$$, and then subtract $$\frac{1}{3}$$.
$$\frac{3}{4}$$ – $$\frac{1}{3}$$ =

Explanation :
$$\frac{3}{4}$$ – $$\frac{1}{3}$$
l.c.m of 4 and 3 is 12
$$\frac{9}{12}$$ – $$\frac{4}{12}$$ = $$\frac{5}{12}$$

Question 2.
Find the difference. Use a rectangular fraction model to find common denominators. Simplify your answer, if possible.
a. $$\frac{5}{6}$$ – $$\frac{1}{3}$$ =
b. $$\frac{2}{3}$$ – $$\frac{1}{2}$$ =
c. $$\frac{5}{6}$$ – $$\frac{1}{4}$$ =
d. $$\frac{4}{5}$$ – $$\frac{1}{2}$$ =
e. $$\frac{2}{3}$$ – $$\frac{2}{5}$$ =
f. $$\frac{5}{7}$$ – $$\frac{2}{3}$$ =
a.

$$\frac{5}{6}$$ – $$\frac{1}{3}$$
Lcm of 6 and 3 is 6 .
$$\frac{5}{6}$$ – $$\frac{2}{6}$$ = $$\frac{3}{6}$$ = $$\frac{1}{2}$$

b.
$$\frac{2}{3}$$ – $$\frac{1}{2}$$
lcm of 3 and 2 is 6
$$\frac{4}{6}$$ – $$\frac{3}{6}$$ = $$\frac{2}{6}$$ = $$\frac{1}{3}$$

c.
$$\frac{5}{6}$$ – $$\frac{1}{4}$$
lcm of 6 and 4
$$\frac{10}{12}$$ – $$\frac{3}{12}$$ = $$\frac{7}{12}$$

d.
$$\frac{4}{5}$$ – $$\frac{1}{2}$$
lcm of 5 and 2 is 10
$$\frac{8}{10}$$ – $$\frac{5}{10}$$ = $$\frac{3}{10}$$

e.
$$\frac{2}{3}$$ – $$\frac{2}{5}$$
lcm of 3 and 5 is 15
$$\frac{10}{15}$$ – $$\frac{6}{15}$$= $$\frac{4}{15}$$

f.
$$\frac{5}{7}$$ – $$\frac{2}{3}$$
lcm of 7 and 3 is 21.
$$\frac{15}{21}$$ – $$\frac{14}{21}$$ = $$\frac{1}{21}$$

Question 3.
Robin used $$\frac{1}{4}$$ of a pound of butter to make a cake. Before she started, she had $$\frac{7}{8}$$ of a pound of butter. How much butter did Robin have when she was done baking? Give your answer as a fraction of a pound.
Quantity of butter used to make cake = $$\frac{1}{4}$$  pound
Quantity of butter with Robin before baking cake = $$\frac{7}{8}$$  pound .
Total Quantity of butter with Robin after baking = $$\frac{7}{8}$$  – $$\frac{1}{4}$$ pound  = $$\frac{7}{8}$$  – $$\frac{2}{8}$$ = $$\frac{5}{8}$$ pound
Therefore, Robin have $$\frac{5}{8}$$ pound  when she was done baking .

Question 4.
Katrina needs $$\frac{3}{5}$$ kilogram of flour for a recipe. Her mother has $$\frac{3}{7}$$ kilogram of flour in her pantry. Is this enough flour for the recipe? If not, how much more will she need?
Quantity of Flour Required for Recipe = $$\frac{3}{5}$$
Quantity of Flour with her mother = $$\frac{3}{7}$$
Quantity of Flour Enough or not = $$\frac{3}{7}$$ – $$\frac{3}{5}$$  = $$\frac{15}{35}$$ – $$\frac{21}{35}$$ = – $$\frac{6}{35}$$ that means negative indicate doenot enough.
She needs more $$\frac{6}{35}$$ Quantity of Flour for the Recipe .