To solve the problems in the worksheet, we need to calculate the fraction of each given whole number. The general method is to multiply the fraction by the whole number. Let's solve each problem step by step.
Problem 1: $\frac{5}{6}$ of 36
\[
\frac{5}{6} \times 36 = \frac{5 \times 36}{6} = \frac{180}{6} = 30
\]
So, $\frac{5}{6}$ of 36 is
30.
Problem 2: $\frac{4}{9}$ of 54
\[
\frac{4}{9} \times 54 = \frac{4 \times 54}{9} = \frac{216}{9} = 24
\]
So, $\frac{4}{9}$ of 54 is
24.
Problem 3: $\frac{7}{15}$ of 60
\[
\frac{7}{15} \times 60 = \frac{7 \times 60}{15} = \frac{420}{15} = 28
\]
So, $\frac{7}{15}$ of 60 is
28.
Problem 4: $\frac{3}{12}$ of 96
\[
\frac{3}{12} \times 96 = \frac{3 \times 96}{12} = \frac{288}{12} = 24
\]
So, $\frac{3}{12}$ of 96 is
24.
Problem 5: $\frac{5}{16}$ of 48
\[
\frac{5}{16} \times 48 = \frac{5 \times 48}{16} = \frac{240}{16} = 15
\]
So, $\frac{5}{16}$ of 48 is
15.
Problem 6: $\frac{8}{12}$ of 60
\[
\frac{8}{12} \times 60 = \frac{8 \times 60}{12} = \frac{480}{12} = 40
\]
So, $\frac{8}{12}$ of 60 is
40.
Problem 7: $\frac{2}{7}$ of 49
\[
\frac{2}{7} \times 49 = \frac{2 \times 49}{7} = \frac{98}{7} = 14
\]
So, $\frac{2}{7}$ of 49 is
14.
Final Answers:
\[
\boxed{30, 24, 28, 24, 15, 40, 14}
\]
Parent Tip: Review the logic above to help your child master the concept of number fractions.
