Multiplication of Improper fractions worksheets - Math Worksheets ... - Free Printable

Let’s solve each fraction multiplication problem step by step. Remember: to multiply fractions, you multiply the numerators (top numbers) together and the denominators (bottom numbers) together. Then simplify if needed.

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1. $\frac{14}{8} \times \frac{27}{12}$

Multiply numerators: $14 × 27 = 378$
Multiply denominators: $8 × 12 = 96$
So we have $\frac{378}{96}$

Now simplify:
Divide numerator and denominator by 6 → $\frac{63}{16}$
(Or divide by 2 first: 378÷2=189, 96÷2=48 → then divide by 3: 189÷3=63, 48÷3=16)

✔ Final: $\frac{63}{16}$ or $3\frac{15}{16}$

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2. $\frac{23}{10} \times \frac{5}{3}$

Numerators: $23 × 5 = 115$
Denominators: $10 × 3 = 30$
→ $\frac{115}{30}$

Simplify: Divide by 5 → $\frac{23}{6}$ or $3\frac{5}{6}$

✔ Final: $\frac{23}{6}$

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3. $\frac{14}{4} \times \frac{5}{2}$

Numerators: $14 × 5 = 70$
Denominators: $4 × 2 = 8$
→ $\frac{70}{8}$

Simplify: Divide by 2 → $\frac{35}{4}$ or $8\frac{3}{4}$

✔ Final: $\frac{35}{4}$

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4. $\frac{30}{12} \times \frac{25}{8}$

Numerators: $30 × 25 = 750$
Denominators: $12 × 8 = 96$
→ $\frac{750}{96}$

Simplify: Divide by 6 → $\frac{125}{16}$ or $7\frac{13}{16}$

✔ Final: $\frac{125}{16}$

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5. $\frac{12}{5} \times \frac{16}{5}$

Numerators: $12 × 16 = 192$
Denominators: $5 × 5 = 25$
→ $\frac{192}{25}$ or $7\frac{17}{25}$

✔ Final: $\frac{192}{25}$

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6. $\frac{37}{12} \times \frac{40}{12}$

Numerators: $37 × 40 = 1480$
Denominators: $12 × 12 = 144$
→ $\frac{1480}{144}$

Simplify: Divide by 8 → $\frac{185}{18}$ or $10\frac{5}{18}$

✔ Final: $\frac{185}{18}$

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7. $\frac{36}{10} \times \frac{10}{6}$

Notice: 10 in numerator and denominator cancel out!

So: $\frac{36}{1} \times \frac{1}{6} = \frac{36}{6} = 6$

✔ Final: $6$

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8. $\frac{11}{3} \times \frac{5}{4}$

Numerators: $11 × 5 = 55$
Denominators: $3 × 4 = 12$
→ $\frac{55}{12}$ or $4\frac{7}{12}$

✔ Final: $\frac{55}{12}$

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9. $\frac{3}{2} \times \frac{5}{2}$

Numerators: $3 × 5 = 15$
Denominators: $2 × 2 = 4$
→ $\frac{15}{4}$ or $3\frac{3}{4}$

✔ Final: $\frac{15}{4}$

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10. $\frac{29}{12} \times \frac{26}{8}$

Numerators: $29 × 26 = 754$
Denominators: $12 × 8 = 96$
→ $\frac{754}{96}$

Simplify: Divide by 2 → $\frac{377}{48}$ or $7\frac{41}{48}$

✔ Final: $\frac{377}{48}$

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11. $\frac{39}{10} \times \frac{25}{10}$

Numerators: $39 × 25 = 975$
Denominators: $10 × 10 = 100$
→ $\frac{975}{100}$

Simplify: Divide by 25 → $\frac{39}{4}$ or $9\frac{3}{4}$

✔ Final: $\frac{39}{4}$

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12. $\frac{7}{3} \times \frac{16}{5}$

Numerators: $7 × 16 = 112$
Denominators: $3 × 5 = 15$
→ $\frac{112}{15}$ or $7\frac{7}{15}$

✔ Final: $\frac{112}{15}$

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13. $\frac{10}{3} \times \frac{7}{3}$

Numerators: $10 × 7 = 70$
Denominators: $3 × 3 = 9$
→ $\frac{70}{9}$ or $7\frac{7}{9}$

✔ Final: $\frac{70}{9}$

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14. $\frac{15}{4} \times \frac{15}{6}$

Numerators: $15 × 15 = 225$
Denominators: $4 × 6 = 24$
→ $\frac{225}{24}$

Simplify: Divide by 3 → $\frac{75}{8}$ or $9\frac{3}{8}$

✔ Final: $\frac{75}{8}$

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Final Answer:
1. $\frac{63}{16}$
2. $\frac{23}{6}$
3. $\frac{35}{4}$
4. $\frac{125}{16}$
5. $\frac{192}{25}$
6. $\frac{185}{18}$
7. $6$
8. $\frac{55}{12}$
9. $\frac{15}{4}$
10. $\frac{377}{48}$
11. $\frac{39}{4}$
12. $\frac{112}{15}$
13. $\frac{70}{9}$
14. $\frac{75}{8}$