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 = \boxed{?} $

Multiply numerator:
$ \frac{1 \times 4}{4} = \frac{4}{4} = 1 $

✔ Answer: 1

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

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

✔ Answer: 6

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

Convert 8 to fraction: $ \frac{8}{1} $
$ \frac{7}{2} \times \frac{8}{1} = \frac{56}{2} = 28 $

✔ Answer: 28

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

Let the missing number be $ x $.
So:
$ x \times \frac{3}{14} = \frac{3}{2} $

Solve for $ x $:
$ 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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5. $ \frac{1}{6} \times \boxed{?} = 3 $

Let the missing number be $ x $.
$ \frac{1}{6} \times x = 3 $

Solve:
$ x = 3 \div \frac{1}{6} = 3 \times 6 = 18 $

✔ Answer: 18

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6. $ 44 \times \boxed{?} = 4 $

Let the missing number be $ x $.
$ 44 \times x = 4 $

Solve:
$ x = \frac{4}{44} = \frac{1}{11} $

✔ Answer: $ \frac{1}{11} $

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

Let the missing number be $ x $.
$ 12x = \frac{4}{7} $

Solve:
$ x = \frac{4}{7} \div 12 = \frac{4}{7} \times \frac{1}{12} = \frac{4}{84} = \frac{1}{21} $

✔ Answer: $ \frac{1}{21} $

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

Let $ x $ be the missing number.
$ x \times \frac{7}{6} = 21 $

Solve:
$ x = 21 \div \frac{7}{6} = 21 \times \frac{6}{7} = \frac{126}{7} = 18 $

✔ Answer: 18

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

Let $ x $ be the missing number.
$ 10x = \frac{2}{3} $

Solve:
$ 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.
$ 24x = 16 $

Solve:
$ 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.
$ 5x = \frac{15}{8} $

Solve:
$ 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} $

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

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📝 Summary:

- When multiplying a fraction by a whole number, write the whole number as a fraction over 1.
- Multiply numerators and denominators.
- Simplify if needed.
- For missing values, use division (invert and multiply).

Let me know if you'd like this in printable format or with explanations for kids!