Multiplying Fractions- with Mixed Numbers worksheet - Free Printable

Let’s solve each problem step by step. We’re multiplying fractions and mixed numbers. Remember: to multiply mixed numbers, first turn them into improper fractions. Then multiply the numerators (tops) and denominators (bottoms). Finally, simplify if needed — and if the answer is an improper fraction, turn it back into a mixed number.

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1) $ 1\frac{1}{3} \times \frac{1}{2} $

Convert $1\frac{1}{3}$ to improper:
$1\frac{1}{3} = \frac{4}{3}$

Now multiply:
$\frac{4}{3} \times \frac{1}{2} = \frac{4 \times 1}{3 \times 2} = \frac{4}{6} = \frac{2}{3}$

✔ Final Answer: $\frac{2}{3}$

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2) $ 2\frac{2}{5} \times \frac{3}{4} $

Convert $2\frac{2}{5}$:
$2\frac{2}{5} = \frac{12}{5}$

Multiply:
$\frac{12}{5} \times \frac{3}{4} = \frac{36}{20} = \frac{9}{5} = 1\frac{4}{5}$

✔ Final Answer: $1\frac{4}{5}$

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3) $ \frac{2}{3} \times 1\frac{4}{5} $

Convert $1\frac{4}{5}$:
$1\frac{4}{5} = \frac{9}{5}$

Multiply:
$\frac{2}{3} \times \frac{9}{5} = \frac{18}{15} = \frac{6}{5} = 1\frac{1}{5}$

✔ Final Answer: $1\frac{1}{5}$

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4) $ \frac{1}{2} \times 3\frac{1}{3} $

Convert $3\frac{1}{3}$:
$3\frac{1}{3} = \frac{10}{3}$

Multiply:
$\frac{1}{2} \times \frac{10}{3} = \frac{10}{6} = \frac{5}{3} = 1\frac{2}{3}$

✔ Final Answer: $1\frac{2}{3}$

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5) $ \frac{1}{6} \times 5\frac{1}{7} $

Convert $5\frac{1}{7}$:
$5\frac{1}{7} = \frac{36}{7}$

Multiply:
$\frac{1}{6} \times \frac{36}{7} = \frac{36}{42} = \frac{6}{7}$

✔ Final Answer: $\frac{6}{7}$

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6) $ 2\frac{2}{5} \times 1\frac{1}{2} $

Convert both:

$2\frac{2}{5} = \frac{12}{5}$
$1\frac{1}{2} = \frac{3}{2}$

Multiply:
$\frac{12}{5} \times \frac{3}{2} = \frac{36}{10} = \frac{18}{5} = 3\frac{3}{5}$

✔ Final Answer: $3\frac{3}{5}$

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

Convert both:

$3\frac{3}{7} = \frac{24}{7}$
$2\frac{1}{3} = \frac{7}{3}$

Multiply:
$\frac{24}{7} \times \frac{7}{3} = \frac{168}{21} = 8$

(Notice: 7 cancels out → $\frac{24}{1} \times \frac{1}{3} = \frac{24}{3} = 8$)

✔ Final Answer: $8$

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8) $ 6\frac{2}{3} \times 1\frac{1}{5} $

Convert both:

$6\frac{2}{3} = \frac{20}{3}$
$1\frac{1}{5} = \frac{6}{5}$

Multiply:
$\frac{20}{3} \times \frac{6}{5} = \frac{120}{15} = 8$

(Simplify before multiplying: 20 ÷ 5 = 4, 6 ÷ 3 = 2 → 4 × 2 = 8)

✔ Final Answer: $8$

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9) $ 7\frac{1}{2} \times 1\frac{3}{5} $

Convert both:

$7\frac{1}{2} = \frac{15}{2}$
$1\frac{3}{5} = \frac{8}{5}$

Multiply:
$\frac{15}{2} \times \frac{8}{5} = \frac{120}{10} = 12$

(Simplify: 15 ÷ 5 = 3, 8 ÷ 2 = 4 → 3 × 4 = 12)

✔ Final Answer: $12$

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10) $ 2\frac{1}{4} \times 5\frac{1}{3} $

Convert both:

$2\frac{1}{4} = \frac{9}{4}$
$5\frac{1}{3} = \frac{16}{3}$

Multiply:
$\frac{9}{4} \times \frac{16}{3} = \frac{144}{12} = 12$

(Simplify: 9 ÷ 3 = 3, 16 ÷ 4 = 4 → 3 × 4 = 12)

✔ Final Answer: $12$

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Final Answer:
1) $\frac{2}{3}$
2) $1\frac{4}{5}$
3) $1\frac{1}{5}$
4) $1\frac{2}{3}$
5) $\frac{6}{7}$
6) $3\frac{3}{5}$
7) $8$
8) $8$
9) $12$
10) $12$