Multiplication and Division Worksheets with Answer Key - Free Printable

Let's solve each problem step by step and explain the reasoning.

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1. $\frac{2}{7} \times \frac{1}{3}$

Multiply numerators and denominators:

$$
\frac{2 \times 1}{7 \times 3} = \frac{2}{21}
$$

✔ Answer: $\boxed{\frac{2}{21}}$

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2. $(-8.7) \times 3.5$

Multiply the absolute values:
$8.7 \times 3.5 = ?$

Break it down:
- $8.7 \times 3 = 26.1$
- $8.7 \times 0.5 = 4.35$
- Add: $26.1 + 4.35 = 30.45$

Since one number is negative, result is negative:

$$
-30.45
$$

✔ Answer: $\boxed{-30.45}$

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3. $7.5 \times \frac{8}{3}$

Convert $7.5$ to a fraction:
$7.5 = \frac{15}{2}$

Now multiply:

$$
\frac{15}{2} \times \frac{8}{3} = \frac{15 \times 8}{2 \times 3} = \frac{120}{6} = 20
$$

✔ Answer: $\boxed{20}$

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4. $\frac{16}{9} \times \frac{3}{8}$

Multiply:

$$
\frac{16 \times 3}{9 \times 8} = \frac{48}{72}
$$

Simplify: divide numerator and denominator by 24:

$$
\frac{48 \div 24}{72 \div 24} = \frac{2}{3}
$$

✔ Answer: $\boxed{\frac{2}{3}}$

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5. $(-1\frac{1}{2}) \times \frac{8}{15}$

Convert mixed number:
$-1\frac{1}{2} = -\frac{3}{2}$

Now multiply:

$$
-\frac{3}{2} \times \frac{8}{15} = -\frac{24}{30}
$$

Simplify: divide numerator and denominator by 6:

$$
-\frac{4}{5}
$$

✔ Answer: $\boxed{-\frac{4}{5}}$

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6. $(-8.1) \times 2.7$

First, ignore signs:
$8.1 \times 2.7$

Break it down:
- $8.1 \times 2 = 16.2$
- $8.1 \times 0.7 = 5.67$
- Add: $16.2 + 5.67 = 21.87$

Now apply sign: negative × positive = negative

$$
-21.87
$$

✔ Answer: $\boxed{-21.87}$

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7. $60.2 \div 3.01$

To simplify division of decimals, multiply numerator and denominator by 100 to eliminate decimals:

$$
\frac{60.2 \times 100}{3.01 \times 100} = \frac{6020}{301}
$$

Now divide:

$$
6020 \div 301 = ?
$$

Try dividing:
$301 \times 20 = 6020$

So:

$$
6020 \div 301 = 20
$$

✔ Answer: $\boxed{20}$

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8. $\left(-\frac{1}{4}\right) \div \left(-\frac{4}{3}\right)$

Dividing fractions: multiply by reciprocal.

$$
-\frac{1}{4} \div -\frac{4}{3} = -\frac{1}{4} \times -\frac{3}{4}
$$

Negative × negative = positive:

$$
\frac{1}{4} \times \frac{3}{4} = \frac{3}{16}
$$

✔ Answer: $\boxed{\frac{3}{16}}$

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9. $0.4 \div 1.6$

Convert to fractions:

$0.4 = \frac{4}{10} = \frac{2}{5}$
$1.6 = \frac{16}{10} = \frac{8}{5}$

Now divide:

$$
\frac{2}{5} \div \frac{8}{5} = \frac{2}{5} \times \frac{5}{8} = \frac{10}{40} = \frac{1}{4}
$$

✔ Answer: $\boxed{\frac{1}{4}}$

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10. $\frac{3}{5} \div \frac{3}{15}$

First simplify $\frac{3}{15} = \frac{1}{5}$

Now:

$$
\frac{3}{5} \div \frac{1}{5} = \frac{3}{5} \times \frac{5}{1} = \frac{15}{5} = 3
$$

✔ Answer: $\boxed{3}$

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11. $2.2 \div \frac{11}{100}$

Convert $2.2$ to fraction:
$2.2 = \frac{22}{10} = \frac{11}{5}$

Now divide:

$$
\frac{11}{5} \div \frac{11}{100} = \frac{11}{5} \times \frac{100}{11} = \frac{1100}{55} = 20
$$

(Notice 11 cancels, $100 \div 5 = 20$)

✔ Answer: $\boxed{20}$

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12. $(-0.05) \div 2.5$

Convert to fractions:

$-0.05 = -\frac{5}{100} = -\frac{1}{20}$
$2.5 = \frac{25}{10} = \frac{5}{2}$

Now divide:

$$
-\frac{1}{20} \div \frac{5}{2} = -\frac{1}{20} \times \frac{2}{5} = -\frac{2}{100} = -\frac{1}{50}
$$

Or as decimal: $-0.02$

✔ Answer: $\boxed{-\frac{1}{50}}$ or $\boxed{-0.02}$

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✔ Final Answers Summary:

| Problem | Answer |
|--------|--------|
| 1 | $\frac{2}{21}$ |
| 2 | $-30.45$ |
| 3 | $20$ |
| 4 | $\frac{2}{3}$ |
| 5 | $-\frac{4}{5}$ |
| 6 | $-21.87$ |
| 7 | $20$ |
| 8 | $\frac{3}{16}$ |
| 9 | $\frac{1}{4}$ |
| 10 | $3$ |
| 11 | $20$ |
| 12 | $-\frac{1}{50}$ or $-0.02$ |

Let me know if you'd like these in decimal form only or simplified further!