Let's solve each problem step by step. The task is to
multiply a fraction with a whole number to find the product.
---
1. What is $ \frac{1}{15} $ of 45?
$$
\frac{1}{15} \times 45 = \frac{45}{15} = 3
$$
✔ Answer: 3
---
2. What is one-third of 30?
$$
\frac{1}{3} \times 30 = \frac{30}{3} = 10
$$
✔ Answer: 10
---
3. What is one-twelfth of 48?
$$
\frac{1}{12} \times 48 = \frac{48}{12} = 4
$$
✔ Answer: 4
---
4. What is $ \frac{1}{15} $ of 45?
This is the same as #1.
$$
\frac{1}{15} \times 45 = 3
$$
✔ Answer: 3
---
5. What is one-eighth of 64?
$$
\frac{1}{8} \times 64 = \frac{64}{8} = 8
$$
✔ Answer: 8
---
6. What is $ \frac{2}{10} $ of 60?
First simplify $ \frac{2}{10} = \frac{1}{5} $
$$
\frac{1}{5} \times 60 = \frac{60}{5} = 12
$$
✔ Answer: 12
---
7. What is two-thirds of 36?
$$
\frac{2}{3} \times 36 = \frac{2 \times 36}{3} = \frac{72}{3} = 24
$$
✔ Answer: 24
---
8. What is $ \frac{8}{24} $ of 120?
Simplify $ \frac{8}{24} = \frac{1}{3} $
$$
\frac{1}{3} \times 120 = \frac{120}{3} = 40
$$
✔ Answer: 40
---
9. What is $ \frac{9}{45} $ of 180?
Simplify $ \frac{9}{45} = \frac{1}{5} $
$$
\frac{1}{5} \times 180 = \frac{180}{5} = 36
$$
✔ Answer: 36
---
10. What is one-fifth of 100?
$$
\frac{1}{5} \times 100 = \frac{100}{5} = 20
$$
✔ Answer: 20
---
✔ Final Answers:
1. 3
2. 10
3. 4
4. 3
5. 8
6. 12
7. 24
8. 40
9. 36
10. 20
---
🔍 Explanation:
To multiply a fraction by a whole number:
- Write the whole number as a fraction (e.g., 45 = $ \frac{45}{1} $).
- Multiply numerator × numerator and denominator × denominator.
- Simplify if needed.
Alternatively, you can:
- Divide the whole number by the denominator of the fraction.
- Then multiply by the numerator.
For example: $ \frac{2}{3} $ of 36 → divide 36 by 3 = 12, then multiply by 2 = 24.
This method works well for quick mental math!
Let me know if you'd like this printed or formatted for a worksheet!
Parent Tip: Review the logic above to help your child master the concept of multiplying fractions by whole numbers worksheets.
