Let's solve each problem by converting
improper fractions to
mixed numbers.
🔹 How to Convert an Improper Fraction to a Mixed Number:
1.
Divide the numerator by the denominator.
2. The
quotient becomes the whole number.
3. The
remainder becomes the new numerator.
4. The
denominator stays the same.
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Let’s go through each one:
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1) $ \frac{13}{8} $
- $ 13 ÷ 8 = 1 $ remainder $ 5 $
- So, $ \frac{13}{8} = 1\frac{5}{8} $
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2) $ \frac{29}{5} $
- $ 29 ÷ 5 = 5 $ remainder $ 4 $
- $ \frac{29}{5} = 5\frac{4}{5} $
---
3) $ \frac{11}{7} $
- $ 11 ÷ 7 = 1 $ remainder $ 4 $
- $ \frac{11}{7} = 1\frac{4}{7} $
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4) $ \frac{36}{7} $
- $ 36 ÷ 7 = 5 $ remainder $ 1 $
- $ \frac{36}{7} = 5\frac{1}{7} $
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5) $ \frac{66}{8} $
- $ 66 ÷ 8 = 8 $ remainder $ 2 $
- $ \frac{66}{8} = 8\frac{2}{8} $
- Simplify: $ \frac{2}{8} = \frac{1}{4} $
- So, $ 8\frac{1}{4} $
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6) $ \frac{49}{8} $
- $ 49 ÷ 8 = 6 $ remainder $ 1 $
- $ \frac{49}{8} = 6\frac{1}{8} $
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7) $ \frac{53}{10} $
- $ 53 ÷ 10 = 5 $ remainder $ 3 $
- $ \frac{53}{10} = 5\frac{3}{10} $
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8) $ \frac{37}{6} $
- $ 37 ÷ 6 = 6 $ remainder $ 1 $
- $ \frac{37}{6} = 6\frac{1}{6} $
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9) $ \frac{86}{9} $
- $ 86 ÷ 9 = 9 $ remainder $ 5 $
- $ \frac{86}{9} = 9\frac{5}{9} $
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10) $ \frac{98}{12} $
- $ 98 ÷ 12 = 8 $ remainder $ 2 $
- $ \frac{98}{12} = 8\frac{2}{12} $
- Simplify: $ \frac{2}{12} = \frac{1}{6} $
- So, $ 8\frac{1}{6} $
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11) $ \frac{72}{10} $
- $ 72 ÷ 10 = 7 $ remainder $ 2 $
- $ \frac{72}{10} = 7\frac{2}{10} $
- Simplify: $ \frac{2}{10} = \frac{1}{5} $
- So, $ 7\frac{1}{5} $
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12) $ \frac{38}{6} $
- $ 38 ÷ 6 = 6 $ remainder $ 2 $
- $ \frac{38}{6} = 6\frac{2}{6} $
- Simplify: $ \frac{2}{6} = \frac{1}{3} $
- So, $ 6\frac{1}{3} $
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13) $ \frac{84}{11} $
- $ 84 ÷ 11 = 7 $ remainder $ 7 $
- $ \frac{84}{11} = 7\frac{7}{11} $
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14) $ \frac{40}{9} $
- $ 40 ÷ 9 = 4 $ remainder $ 4 $
- $ \frac{40}{9} = 4\frac{4}{9} $
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15) $ \frac{52}{6} $
- $ 52 ÷ 6 = 8 $ remainder $ 4 $
- $ \frac{52}{6} = 8\frac{4}{6} $
- Simplify: $ \frac{4}{6} = \frac{2}{3} $
- So, $ 8\frac{2}{3} $
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✔ Final Answers:
1) $ 1\frac{5}{8} $
2) $ 5\frac{4}{5} $
3) $ 1\frac{4}{7} $
4) $ 5\frac{1}{7} $
5) $ 8\frac{1}{4} $
6) $ 6\frac{1}{8} $
7) $ 5\frac{3}{10} $
8) $ 6\frac{1}{6} $
9) $ 9\frac{5}{9} $
10) $ 8\frac{1}{6} $
11) $ 7\frac{1}{5} $
12) $ 6\frac{1}{3} $
13) $ 7\frac{7}{11} $
14) $ 4\frac{4}{9} $
15) $ 8\frac{2}{3} $
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Let me know if you'd like this in a printable format or with steps shown!
Parent Tip: Review the logic above to help your child master the concept of mixed to improper fractions worksheet.
