Multiplying Fractions with Whole Numbers Worksheets - 15 ... - Free Printable

To solve the problems in the worksheet, we need to multiply fractions by whole numbers. The general approach is to:

1. Convert the whole number into a fraction (if necessary).
2. Multiply the numerators together.
3. Multiply the denominators together.
4. Simplify the resulting fraction if possible.
5. If the result is an improper fraction, convert it to a mixed number or a whole number.

Let's solve each problem step by step:

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Problem 1: What is $\frac{1}{15}$ of 45?

- Convert 45 to a fraction: $45 = \frac{45}{1}$.
- Multiply: $\frac{1}{15} \times \frac{45}{1} = \frac{1 \times 45}{15 \times 1} = \frac{45}{15}$.
- Simplify: $\frac{45}{15} = 3$.

Answer: $3$

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Problem 2: What is one-third of 30?

- Convert "one-third" to a fraction: $\frac{1}{3}$.
- Convert 30 to a fraction: $30 = \frac{30}{1}$.
- Multiply: $\frac{1}{3} \times \frac{30}{1} = \frac{1 \times 30}{3 \times 1} = \frac{30}{3}$.
- Simplify: $\frac{30}{3} = 10$.

Answer: $10$

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Problem 3: What is one-twelfth of 48?

- Convert "one-twelfth" to a fraction: $\frac{1}{12}$.
- Convert 48 to a fraction: $48 = \frac{48}{1}$.
- Multiply: $\frac{1}{12} \times \frac{48}{1} = \frac{1 \times 48}{12 \times 1} = \frac{48}{12}$.
- Simplify: $\frac{48}{12} = 4$.

Answer: $4$

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Problem 4: What is $\frac{1}{15}$ of 45?

- This is the same as Problem 1.
- Answer: $3$

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Problem 5: What is one-eighth of 64?

- Convert "one-eighth" to a fraction: $\frac{1}{8}$.
- Convert 64 to a fraction: $64 = \frac{64}{1}$.
- Multiply: $\frac{1}{8} \times \frac{64}{1} = \frac{1 \times 64}{8 \times 1} = \frac{64}{8}$.
- Simplify: $\frac{64}{8} = 8$.

Answer: $8$

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Problem 6: What is $\frac{2}{10}$ of 60?

- Simplify $\frac{2}{10}$ to $\frac{1}{5}$.
- Convert 60 to a fraction: $60 = \frac{60}{1}$.
- Multiply: $\frac{1}{5} \times \frac{60}{1} = \frac{1 \times 60}{5 \times 1} = \frac{60}{5}$.
- Simplify: $\frac{60}{5} = 12$.

Answer: $12$

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Problem 7: What is two-thirds of 36?

- Convert "two-thirds" to a fraction: $\frac{2}{3}$.
- Convert 36 to a fraction: $36 = \frac{36}{1}$.
- Multiply: $\frac{2}{3} \times \frac{36}{1} = \frac{2 \times 36}{3 \times 1} = \frac{72}{3}$.
- Simplify: $\frac{72}{3} = 24$.

Answer: $24$

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Problem 8: What is $\frac{8}{24}$ of 120?

- Simplify $\frac{8}{24}$ to $\frac{1}{3}$.
- Convert 120 to a fraction: $120 = \frac{120}{1}$.
- Multiply: $\frac{1}{3} \times \frac{120}{1} = \frac{1 \times 120}{3 \times 1} = \frac{120}{3}$.
- Simplify: $\frac{120}{3} = 40$.

Answer: $40$

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Problem 9: What is $\frac{9}{45}$ of 180?

- Simplify $\frac{9}{45}$ to $\frac{1}{5}$.
- Convert 180 to a fraction: $180 = \frac{180}{1}$.
- Multiply: $\frac{1}{5} \times \frac{180}{1} = \frac{1 \times 180}{5 \times 1} = \frac{180}{5}$.
- Simplify: $\frac{180}{5} = 36$.

Answer: $36$

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Problem 10: What is one-fifth of 100?

- Convert "one-fifth" to a fraction: $\frac{1}{5}$.
- Convert 100 to a fraction: $100 = \frac{100}{1}$.
- Multiply: $\frac{1}{5} \times \frac{100}{1} = \frac{1 \times 100}{5 \times 1} = \frac{100}{5}$.
- Simplify: $\frac{100}{5} = 20$.

Answer: $20$

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Final Answers:

1. $3$
2. $10$
3. $4$
4. $3$
5. $8$
6. $12$
7. $24$
8. $40$
9. $36$
10. $20$

$$
\boxed{3, 10, 4, 3, 8, 12, 24, 40, 36, 20}
$$