Let’s solve each mixed number conversion step by step.
To convert a mixed number to an improper fraction:
1. Multiply the whole number by the denominator.
2. Add the numerator to that result.
3. Keep the same denominator.
We’ll go one by one:
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First problem (already solved as example):
6 2/5 → (6 × 5) + 2 = 30 + 2 = 32 → so 32/5
✔
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Second: 5 3/4
(5 × 4) + 3 = 20 + 3 = 23 →
23/4
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Third: 7 3/5
(7 × 5) + 3 = 35 + 3 = 38 →
38/5
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Fourth: 2 5/9
(2 × 9) + 5 = 18 + 5 = 23 →
23/9
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Fifth: 6 4/7
(6 × 7) + 4 = 42 + 4 = 46 →
46/7
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Sixth: 8 3/7
(8 × 7) + 3 = 56 + 3 = 59 →
59/7
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Seventh: 5 3/5
(5 × 5) + 3 = 25 + 3 = 28 →
28/5
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Eighth: 6 4/5
(6 × 5) + 4 = 30 + 4 = 34 →
34/5
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Ninth: 9 1/5
(9 × 5) + 1 = 45 + 1 = 46 →
46/5
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Tenth: 7 3/5
(7 × 5) + 3 = 35 + 3 = 38 →
38/5
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All calculations checked and verified.
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
Parent Tip: Review the logic above to help your child master the concept of converting fractions to mixed numbers worksheet.
