Let's solve each of these fraction-of-a-number problems step by step.
The general method is:
> To find
a fraction of a number, multiply the fraction by the number.
So for:
$\frac{a}{b}$ of $x$ = $\frac{a}{b} \times x$
We'll go through each problem:
---
1. $\frac{2}{3}$ of 15
$$
\frac{2}{3} \times 15 = \frac{2 \times 15}{3} = \frac{30}{3} = 10
$$
✔ Answer: 10
---
2. $\frac{3}{4}$ of 36
$$
\frac{3}{4} \times 36 = \frac{3 \times 36}{4} = \frac{108}{4} = 27
$$
✔ Answer: 27
---
3. $\frac{1}{5}$ of 20
$$
\frac{1}{5} \times 20 = \frac{20}{5} = 4
$$
✔ Answer: 4
---
4. $\frac{1}{3}$ of 33
$$
\frac{1}{3} \times 33 = \frac{33}{3} = 11
$$
✔ Answer: 11
---
5. $\frac{2}{5}$ of 45
$$
\frac{2}{5} \times 45 = \frac{2 \times 45}{5} = \frac{90}{5} = 18
$$
✔ Answer: 18
---
6. $\frac{3}{5}$ of 60
$$
\frac{3}{5} \times 60 = \frac{3 \times 60}{5} = \frac{180}{5} = 36
$$
✔ Answer: 36
---
7. $\frac{4}{7}$ of 28
$$
\frac{4}{7} \times 28 = \frac{4 \times 28}{7} = \frac{112}{7} = 16
$$
✔ Answer: 16
---
8. $\frac{2}{7}$ of 56
$$
\frac{2}{7} \times 56 = \frac{2 \times 56}{7} = \frac{112}{7} = 16
$$
✔ Answer: 16
---
9. $\frac{1}{4}$ of 48
$$
\frac{1}{4} \times 48 = \frac{48}{4} = 12
$$
✔ Answer: 12
---
10. $\frac{3}{7}$ of 70
$$
\frac{3}{7} \times 70 = \frac{3 \times 70}{7} = \frac{210}{7} = 30
$$
✔ Answer: 30
---
✔ Final Answers:
1. 10
2. 27
3. 4
4. 11
5. 18
6. 36
7. 16
8. 16
9. 12
10. 30
Let me know if you'd like this explained visually or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of fractions worksheets with answers.
