Grade 5 Fractions Worksheet: Fraction multiplied by a whole number.

Let’s solve each problem step by step. We’re multiplying fractions by whole numbers or finding missing numbers to make the equation true.

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1. $\frac{1}{2} \times 4 = ?$

Multiply numerator: $1 \times 4 = 4$
Keep denominator: 2
So, $\frac{4}{2} = 2$

✔ Answer: 2

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

Think of it as: $\frac{9}{1} \times \frac{2}{3}$

Multiply numerators: $9 \times 2 = 18$
Multiply denominators: $1 \times 3 = 3$
$\frac{18}{3} = 6$

✔ Answer: 6

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

$\frac{7}{2} \times \frac{8}{1} = \frac{56}{2} = 28$

✔ Answer: 28

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

We need to find what number times $\frac{3}{14}$ gives $\frac{3}{2}$.

That means: $? = \frac{3}{2} \div \frac{3}{14}$

Dividing fractions: flip and multiply → $\frac{3}{2} \times \frac{14}{3}$

Cancel 3s: $\frac{1}{2} \times 14 = \frac{14}{2} = 7$

✔ Answer: 7

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

So, $? = \frac{2}{3} \div 10 = \frac{2}{3} \times \frac{1}{10} = \frac{2}{30} = \frac{1}{15}$

✔ Answer: $\frac{1}{15}$

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6. $? \times 5 = \frac{15}{8}$

So, $? = \frac{15}{8} \div 5 = \frac{15}{8} \times \frac{1}{5} = \frac{15}{40} = \frac{3}{8}$

✔ Answer: $\frac{3}{8}$

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7. $\frac{1}{6} \times ? = 3$

So, $? = 3 \div \frac{1}{6} = 3 \times 6 = 18$

✔ Answer: 18

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8. $44 \times ? = 4$

So, $? = 4 \div 44 = \frac{4}{44} = \frac{1}{11}$

✔ Answer: $\frac{1}{11}$

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9. $12 \times ? = \frac{4}{7}$

So, $? = \frac{4}{7} \div 12 = \frac{4}{7} \times \frac{1}{12} = \frac{4}{84} = \frac{1}{21}$

✔ Answer: $\frac{1}{21}$

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

So, $? = 21 \div \frac{7}{6} = 21 \times \frac{6}{7}$

21 ÷ 7 = 3 → so $3 \times 6 = 18$

✔ Answer: 18

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11. $? \times 24 = 16$

So, $? = 16 \div 24 = \frac{16}{24} = \frac{2}{3}$

✔ Answer: $\frac{2}{3}$

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

So, $? = \frac{45}{2} \div \frac{3}{4} = \frac{45}{2} \times \frac{4}{3}$

Simplify: 45 ÷ 3 = 15; 4 ÷ 2 = 2 → so $15 \times 2 = 30$

Or step-by-step:

$\frac{45 \times 4}{2 \times 3} = \frac{180}{6} = 30$

✔ Answer: 30

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