Let's solve each of these fraction-of-a-number problems step by step. The general rule is:
> To find a fraction of a number,
multiply the fraction by the number.
We can write this as:
$$
\frac{a}{b} \text{ of } x = \frac{a}{b} \times x = \frac{a \times x}{b}
$$
Now, let's go through each problem:
---
1. $ \frac{1}{2} $ of 12
$$
\frac{1}{2} \times 12 = \frac{12}{2} = 6
$$
✔ Answer: 6
---
2. $ \frac{1}{6} $ of 54
$$
\frac{1}{6} \times 54 = \frac{54}{6} = 9
$$
✔ Answer: 9
---
3. $ \frac{1}{8} $ of 96
$$
\frac{1}{8} \times 96 = \frac{96}{8} = 12
$$
✔ Answer: 12
---
4. $ \frac{2}{5} $ of 25
$$
\frac{2}{5} \times 25 = \frac{2 \times 25}{5} = \frac{50}{5} = 10
$$
✔ Answer: 10
---
5. $ \frac{4}{5} $ of 40
$$
\frac{4}{5} \times 40 = \frac{4 \times 40}{5} = \frac{160}{5} = 32
$$
✔ Answer: 32
---
6. $ \frac{3}{7} $ of 63
$$
\frac{3}{7} \times 63 = \frac{3 \times 63}{7} = \frac{189}{7} = 27
$$
✔ Answer: 27
---
7. $ \frac{2}{5} $ of 36
$$
\frac{2}{5} \times 36 = \frac{2 \times 36}{5} = \frac{72}{5} = 14.4
$$
Or as a mixed number: $ 14 \frac{2}{5} $
But since the others are whole numbers, and no instruction for fractions, we can leave it as a decimal or fraction.
✔ Answer: 14.4 or $ \frac{72}{5} $
---
8. $ \frac{2}{3} $ of 21
$$
\frac{2}{3} \times 21 = \frac{2 \times 21}{3} = \frac{42}{3} = 14
$$
✔ Answer: 14
---
9. $ \frac{1}{10} $ of 100
$$
\frac{1}{10} \times 100 = \frac{100}{10} = 10
$$
✔ Answer: 10
---
10. $ \frac{5}{7} $ of 77
$$
\frac{5}{7} \times 77 = \frac{5 \times 77}{7} = \frac{385}{7} = 55
$$
✔ Answer: 55
---
✔ Final Answers:
1.
6
2.
9
3.
12
4.
10
5.
32
6.
27
7.
14.4 (or $ \frac{72}{5} $)
8.
14
9.
10
10.
55
---
💡
Tip: When finding a fraction of a number, you can also think:
- Divide the number by the denominator, then multiply by the numerator.
For example: $ \frac{2}{5} $ of 25 → divide 25 by 5 = 5, then multiply by 2 → 10.
This method helps avoid big multiplication steps!
Let me know if you'd like a printable version or explanation in simpler terms!
Parent Tip: Review the logic above to help your child master the concept of fraction worksheet 10th grade.
