Problem Description:
The worksheet asks to multiply fractions by whole numbers. Each problem involves finding a fraction of a given whole number. The task is to solve each problem step-by-step.
Solution:
####
Step 1: Understand the Process
To find a fraction of a whole number, you multiply the fraction by the whole number. For example, to find \( \frac{a}{b} \) of \( n \), you calculate:
\[
\frac{a}{b} \times n = \frac{a \times n}{b}
\]
After performing the multiplication, simplify the result if possible.
####
Step 2: Solve Each Problem
1.
\( \frac{4}{5} \) of 8:
\[
\frac{4}{5} \times 8 = \frac{4 \times 8}{5} = \frac{32}{5} = 6 \frac{2}{5}
\]
2.
\( \frac{3}{5} \) of 3:
\[
\frac{3}{5} \times 3 = \frac{3 \times 3}{5} = \frac{9}{5} = 1 \frac{4}{5}
\]
3.
\( \frac{2}{3} \) of 5:
\[
\frac{2}{3} \times 5 = \frac{2 \times 5}{3} = \frac{10}{3} = 3 \frac{1}{3}
\]
4.
\( \frac{1}{4} \) of 6:
\[
\frac{1}{4} \times 6 = \frac{1 \times 6}{4} = \frac{6}{4} = \frac{3}{2} = 1 \frac{1}{2}
\]
5.
\( \frac{1}{5} \) of 2:
\[
\frac{1}{5} \times 2 = \frac{1 \times 2}{5} = \frac{2}{5}
\]
6.
\( \frac{3}{8} \) of 2:
\[
\frac{3}{8} \times 2 = \frac{3 \times 2}{8} = \frac{6}{8} = \frac{3}{4}
\]
7.
\( \frac{5}{6} \) of 6:
\[
\frac{5}{6} \times 6 = \frac{5 \times 6}{6} = \frac{30}{6} = 5
\]
8.
\( \frac{4}{5} \) of 4:
\[
\frac{4}{5} \times 4 = \frac{4 \times 4}{5} = \frac{16}{5} = 3 \frac{1}{5}
\]
9.
\( \frac{4}{5} \) of 1:
\[
\frac{4}{5} \times 1 = \frac{4 \times 1}{5} = \frac{4}{5}
\]
10.
\( \frac{3}{4} \) of 9:
\[
\frac{3}{4} \times 9 = \frac{3 \times 9}{4} = \frac{27}{4} = 6 \frac{3}{4}
\]
11.
\( \frac{3}{5} \) of 4:
\[
\frac{3}{5} \times 4 = \frac{3 \times 4}{5} = \frac{12}{5} = 2 \frac{2}{5}
\]
12.
\( \frac{2}{3} \) of 1:
\[
\frac{2}{3} \times 1 = \frac{2 \times 1}{3} = \frac{2}{3}
\]
13.
\( \frac{2}{3} \) of 8:
\[
\frac{2}{3} \times 8 = \frac{2 \times 8}{3} = \frac{16}{3} = 5 \frac{1}{3}
\]
14.
\( \frac{4}{8} \) of 7:
\[
\frac{4}{8} \times 7 = \frac{4 \times 7}{8} = \frac{28}{8} = \frac{7}{2} = 3 \frac{1}{2}
\]
15.
\( \frac{1}{8} \) of 9:
\[
\frac{1}{8} \times 9 = \frac{1 \times 9}{8} = \frac{9}{8} = 1 \frac{1}{8}
\]
Final Answers:
\[
\boxed{
\begin{array}{ll}
1. & 6 \frac{2}{5} \\
2. & 1 \frac{4}{5} \\
3. & 3 \frac{1}{3} \\
4. & 1 \frac{1}{2} \\
5. & \frac{2}{5} \\
6. & \frac{3}{4} \\
7. & 5 \\
8. & 3 \frac{1}{5} \\
9. & \frac{4}{5} \\
10. & 6 \frac{3}{4} \\
11. & 2 \frac{2}{5} \\
12. & \frac{2}{3} \\
13. & 5 \frac{1}{3} \\
14. & 3 \frac{1}{2} \\
15. & 1 \frac{1}{8} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions worksheet fifth grade.
