4th Grade Math worksheet on multiplication of fractions with whole numbers, including 32 practice problems.

Problem Overview:

The worksheet asks to solve problems involving fractions of whole numbers. Each problem is of the form: "fraction of a whole number." To solve these, we need to multiply the fraction by the whole number.

General Formula:

If the problem is "fraction \( \frac{a}{b} \) of \( n \)," the solution is calculated as:
\[
\text{Result} = \frac{a}{b} \times n
\]

Step-by-Step Solutions:

#### Row 1:
1. \( \frac{1}{6} \) of \( 1 \):
\[
\frac{1}{6} \times 1 = \frac{1}{6}
\]

2. \( \frac{7}{8} \) of \( 5 \):
\[
\frac{7}{8} \times 5 = \frac{7 \times 5}{8} = \frac{35}{8} = 4 \frac{3}{8}
\]

3. \( \frac{2}{5} \) of \( 3 \):
\[
\frac{2}{5} \times 3 = \frac{2 \times 3}{5} = \frac{6}{5} = 1 \frac{1}{5}
\]

4. \( \frac{5}{6} \) of \( 9 \):
\[
\frac{5}{6} \times 9 = \frac{5 \times 9}{6} = \frac{45}{6} = 7 \frac{3}{6} = 7 \frac{1}{2}
\]

#### Row 2:
5. \( \frac{4}{6} \) of \( 9 \):
\[
\frac{4}{6} \times 9 = \frac{4 \times 9}{6} = \frac{36}{6} = 6
\]

6. \( \frac{3}{6} \) of \( 8 \):
\[
\frac{3}{6} \times 8 = \frac{3 \times 8}{6} = \frac{24}{6} = 4
\]

7. \( \frac{4}{5} \) of \( 2 \):
\[
\frac{4}{5} \times 2 = \frac{4 \times 2}{5} = \frac{8}{5} = 1 \frac{3}{5}
\]

8. \( \frac{3}{8} \) of \( 4 \):
\[
\frac{3}{8} \times 4 = \frac{3 \times 4}{8} = \frac{12}{8} = \frac{3}{2} = 1 \frac{1}{2}
\]

#### Row 3:
9. \( \frac{1}{5} \) of \( 6 \):
\[
\frac{1}{5} \times 6 = \frac{1 \times 6}{5} = \frac{6}{5} = 1 \frac{1}{5}
\]

10. \( \frac{2}{3} \) of \( 7 \):
\[
\frac{2}{3} \times 7 = \frac{2 \times 7}{3} = \frac{14}{3} = 4 \frac{2}{3}
\]

11. \( \frac{1}{4} \) of \( 7 \):
\[
\frac{1}{4} \times 7 = \frac{1 \times 7}{4} = \frac{7}{4} = 1 \frac{3}{4}
\]

12. \( \frac{1}{3} \) of \( 9 \):
\[
\frac{1}{3} \times 9 = \frac{1 \times 9}{3} = \frac{9}{3} = 3
\]

#### Row 4:
13. \( \frac{2}{3} \) of \( 5 \):
\[
\frac{2}{3} \times 5 = \frac{2 \times 5}{3} = \frac{10}{3} = 3 \frac{1}{3}
\]

14. \( \frac{2}{4} \) of \( 1 \):
\[
\frac{2}{4} \times 1 = \frac{2 \times 1}{4} = \frac{2}{4} = \frac{1}{2}
\]

15. \( \frac{4}{5} \) of \( 3 \):
\[
\frac{4}{5} \times 3 = \frac{4 \times 3}{5} = \frac{12}{5} = 2 \frac{2}{5}
\]

16. \( \frac{2}{4} \) of \( 9 \):
\[
\frac{2}{4} \times 9 = \frac{2 \times 9}{4} = \frac{18}{4} = \frac{9}{2} = 4 \frac{1}{2}
\]

#### Row 5:
17. \( \frac{3}{4} \) of \( 8 \):
\[
\frac{3}{4} \times 8 = \frac{3 \times 8}{4} = \frac{24}{4} = 6
\]

18. \( \frac{2}{4} \) of \( 7 \):
\[
\frac{2}{4} \times 7 = \frac{2 \times 7}{4} = \frac{14}{4} = \frac{7}{2} = 3 \frac{1}{2}
\]

19. \( \frac{2}{6} \) of \( 2 \):
\[
\frac{2}{6} \times 2 = \frac{2 \times 2}{6} = \frac{4}{6} = \frac{2}{3}
\]

20. \( \frac{4}{6} \) of \( 8 \):
\[
\frac{4}{6} \times 8 = \frac{4 \times 8}{6} = \frac{32}{6} = \frac{16}{3} = 5 \frac{1}{3}
\]

#### Row 6:
21. \( \frac{2}{4} \) of \( 2 \):
\[
\frac{2}{4} \times 2 = \frac{2 \times 2}{4} = \frac{4}{4} = 1
\]

22. \( \frac{6}{8} \) of \( 3 \):
\[
\frac{6}{8} \times 3 = \frac{6 \times 3}{8} = \frac{18}{8} = \frac{9}{4} = 2 \frac{1}{4}
\]

23. \( \frac{1}{3} \) of \( 5 \):
\[
\frac{1}{3} \times 5 = \frac{1 \times 5}{3} = \frac{5}{3} = 1 \frac{2}{3}
\]

24. \( \frac{3}{6} \) of \( 3 \):
\[
\frac{3}{6} \times 3 = \frac{3 \times 3}{6} = \frac{9}{6} = \frac{3}{2} = 1 \frac{1}{2}
\]

#### Row 7:
25. \( \frac{5}{8} \) of \( 5 \):
\[
\frac{5}{8} \times 5 = \frac{5 \times 5}{8} = \frac{25}{8} = 3 \frac{1}{8}
\]

26. \( \frac{2}{6} \) of \( 4 \):
\[
\frac{2}{6} \times 4 = \frac{2 \times 4}{6} = \frac{8}{6} = \frac{4}{3} = 1 \frac{1}{3}
\]

27. \( \frac{2}{3} \) of \( 1 \):
\[
\frac{2}{3} \times 1 = \frac{2 \times 1}{3} = \frac{2}{3}
\]

28. \( \frac{4}{5} \) of \( 9 \):
\[
\frac{4}{5} \times 9 = \frac{4 \times 9}{5} = \frac{36}{5} = 7 \frac{1}{5}
\]

#### Row 8:
29. \( \frac{1}{6} \) of \( 4 \):
\[
\frac{1}{6} \times 4 = \frac{1 \times 4}{6} = \frac{4}{6} = \frac{2}{3}
\]

30. \( \frac{2}{5} \) of \( 6 \):
\[
\frac{2}{5} \times 6 = \frac{2 \times 6}{5} = \frac{12}{5} = 2 \frac{2}{5}
\]

31. \( \frac{7}{8} \) of \( 1 \):
\[
\frac{7}{8} \times 1 = \frac{7 \times 1}{8} = \frac{7}{8}
\]

32. \( \frac{2}{3} \) of \( 6 \):
\[
\frac{2}{3} \times 6 = \frac{2 \times 6}{3} = \frac{12}{3} = 4
\]

Final Answers:

\[
\boxed{
\begin{array}{cccc}
1. \frac{1}{6} & 2. 4 \frac{3}{8} & 3. 1 \frac{1}{5} & 4. 7 \frac{1}{2} \\
5. 6 & 6. 4 & 7. 1 \frac{3}{5} & 8. 1 \frac{1}{2} \\
9. 1 \frac{1}{5} & 10. 4 \frac{2}{3} & 11. 1 \frac{3}{4} & 12. 3 \\
13. 3 \frac{1}{3} & 14. \frac{1}{2} & 15. 2 \frac{2}{5} & 16. 4 \frac{1}{2} \\
17. 6 & 18. 3 \frac{1}{2} & 19. \frac{2}{3} & 20. 5 \frac{1}{3} \\
21. 1 & 22. 2 \frac{1}{4} & 23. 1 \frac{2}{3} & 24. 1 \frac{1}{2} \\
25. 3 \frac{1}{8} & 26. 1 \frac{1}{3} & 27. \frac{2}{3} & 28. 7 \frac{1}{5} \\
29. \frac{2}{3} & 30. 2 \frac{2}{5} & 31. \frac{7}{8} & 32. 4 \\
\end{array}
}
\]