Convert mixed numbers to improper fractions with this printable math worksheet.

Let’s solve each mixed number to improper fraction step by step.

Remember:
To convert a mixed number like a b/c to an improper fraction:
→ Multiply the whole number (a) by the denominator (c).
→ Add the numerator (b).
→ Put that result over the original denominator (c).

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1. 6 2/5
Already solved as example:
6 × 5 = 30, then 30 + 2 = 32 → 32/5

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2. 5 3/4
5 × 4 = 20
20 + 3 = 23
→ 23/4

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3. 7 3/5
7 × 5 = 35
35 + 3 = 38
→ 38/5

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4. 2 5/9
2 × 9 = 18
18 + 5 = 23
→ 23/9

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5. 6 4/7
6 × 7 = 42
42 + 4 = 46
→ 46/7

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6. 8 3/7
8 × 7 = 56
56 + 3 = 59
→ 59/7

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7. 5 3/5
5 × 5 = 25
25 + 3 = 28
→ 28/5

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8. 6 4/5
6 × 5 = 30
30 + 4 = 34
→ 34/5

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9. 9 1/5
9 × 5 = 45
45 + 1 = 46
→ 46/5

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10. 7 3/5
7 × 5 = 35
35 + 3 = 38
→ 38/5

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Final Answer:
5 3/4 = 23/4
7 3/5 = 38/5
2 5/9 = 23/9
6 4/7 = 46/7
8 3/7 = 59/7
5 3/5 = 28/5
6 4/5 = 34/5
9 1/5 = 46/5
7 3/5 = 38/5