Worksheets: Multiplying fractions by whole numbers (missing ... - Free Printable

Let's solve each problem step by step from the worksheet titled "Fraction multiplied by a whole number".

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1. $ \frac{1}{4} \times 4 = ? $

Multiply the numerator by the whole number:
$$
\frac{1 \times 4}{4} = \frac{4}{4} = 1
$$
✔ Answer: 1

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2. $ \frac{1}{6} \times \boxed{} = 3 $

We need to find the missing number (let’s call it $ x $) such that:
$$
\frac{1}{6} \times x = 3
$$
Multiply both sides by 6:
$$
x = 3 \times 6 = 18
$$
✔ Answer: 18

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3. $ 9 \times \frac{2}{3} = ? $

Multiply:
$$
\frac{9 \times 2}{3} = \frac{18}{3} = 6
$$
✔ Answer: 6

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4. $ 44 \times \boxed{} = 4 $

Let $ x $ be the missing fraction:
$$
44 \times x = 4 \Rightarrow x = \frac{4}{44} = \frac{1}{11}
$$
✔ Answer: $ \frac{1}{11} $

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5. $ \frac{7}{2} \times 8 = ? $

$$
\frac{7 \times 8}{2} = \frac{56}{2} = 28
$$
✔ Answer: 28

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6. $ 12 \times \boxed{} = \frac{4}{7} $

Let $ x $ be the missing fraction:
$$
12 \times x = \frac{4}{7} \Rightarrow x = \frac{4}{7 \times 12} = \frac{4}{84} = \frac{1}{21}
$$
✔ Answer: $ \frac{1}{21} $

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7. $ \boxed{} \times \frac{3}{14} = \frac{3}{2} $

Let $ x $ be the missing number:
$$
x \times \frac{3}{14} = \frac{3}{2}
\Rightarrow x = \frac{3}{2} \div \frac{3}{14} = \frac{3}{2} \times \frac{14}{3} = \frac{42}{6} = 7
$$
✔ Answer: 7

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8. $ \boxed{} \times \frac{7}{6} = 21 $

Let $ x $ be the missing number:
$$
x \times \frac{7}{6} = 21 \Rightarrow x = 21 \div \frac{7}{6} = 21 \times \frac{6}{7} = 3 \times 6 = 18
$$
✔ Answer: 18

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9. $ \boxed{} \times 10 = \frac{2}{3} $

Let $ x $ be the missing number:
$$
x \times 10 = \frac{2}{3} \Rightarrow x = \frac{2}{3} \div 10 = \frac{2}{3} \times \frac{1}{10} = \frac{2}{30} = \frac{1}{15}
$$
✔ Answer: $ \frac{1}{15} $

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10. $ \boxed{} \times 24 = 16 $

Let $ x $ be the missing number:
$$
x \times 24 = 16 \Rightarrow x = \frac{16}{24} = \frac{2}{3}
$$
✔ Answer: $ \frac{2}{3} $

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11. $ \boxed{} \times 5 = \frac{15}{8} $

Let $ x $ be the missing number:
$$
x \times 5 = \frac{15}{8} \Rightarrow x = \frac{15}{8} \div 5 = \frac{15}{8} \times \frac{1}{5} = \frac{15}{40} = \frac{3}{8}
$$
✔ Answer: $ \frac{3}{8} $

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12. $ \boxed{} \times \frac{3}{4} = \frac{45}{2} $

Let $ x $ be the missing number:
$$
x \times \frac{3}{4} = \frac{45}{2} \Rightarrow x = \frac{45}{2} \div \frac{3}{4} = \frac{45}{2} \times \frac{4}{3} = \frac{180}{6} = 30
$$
✔ Answer: 30

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✔ Final Answers:

1. $ 1 $
2. $ 18 $
3. $ 6 $
4. $ \frac{1}{11} $
5. $ 28 $
6. $ \frac{1}{21} $
7. $ 7 $
8. $ 18 $
9. $ \frac{1}{15} $
10. $ \frac{2}{3} $
11. $ \frac{3}{8} $
12. $ 30 $

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