Let's solve each of these mixed numbers and convert them into decimals. The general method is:
Step-by-step Method:
To convert a
mixed number (like $ a \frac{b}{c} $) to a
decimal:
1. Convert the
fractional part $ \frac{b}{c} $ into a decimal by dividing $ b \div c $.
2. Add this decimal to the whole number $ a $.
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Now, let's go through each one:
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i. $ 6 \frac{3}{5} $
- $ \frac{3}{5} = 3 \div 5 = 0.6 $
- $ 6 + 0.6 = 6.6 $
✔ Answer: 6.6
---
ii. $ 1 \frac{11}{14} $
- $ \frac{11}{14} = 11 \div 14 \approx 0.7857 $
- $ 1 + 0.7857 = 1.7857 $
✔ Answer: ≈ 1.7857 (rounded to 4 decimal places)
---
iii. $ 1 \frac{1}{11} $
- $ \frac{1}{11} = 1 \div 11 \approx 0.0909 $
- $ 1 + 0.0909 = 1.0909 $
✔ Answer: ≈ 1.0909
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iv. $ 1 \frac{1}{6} $
- $ \frac{1}{6} = 1 \div 6 \approx 0.1667 $
- $ 1 + 0.1667 = 1.1667 $
✔ Answer: ≈ 1.1667
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v. $ 1 \frac{2}{7} $
- $ \frac{2}{7} = 2 \div 7 \approx 0.2857 $
- $ 1 + 0.2857 = 1.2857 $
✔ Answer: ≈ 1.2857
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vi. $ 2 \frac{1}{8} $
- $ \frac{1}{8} = 1 \div 8 = 0.125 $
- $ 2 + 0.125 = 2.125 $
✔ Answer: 2.125
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vii. $ 1 \frac{13}{14} $
- $ \frac{13}{14} = 13 \div 14 \approx 0.9286 $
- $ 1 + 0.9286 = 1.9286 $
✔ Answer: ≈ 1.9286
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viii. $ 8 \frac{2}{5} $
- $ \frac{2}{5} = 2 \div 5 = 0.4 $
- $ 8 + 0.4 = 8.4 $
✔ Answer: 8.4
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ix. $ 1 \frac{8}{19} $
- $ \frac{8}{19} = 8 \div 19 \approx 0.4211 $
- $ 1 + 0.4211 = 1.4211 $
✔ Answer: ≈ 1.4211
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x. $ 2 \frac{2}{5} $
- $ \frac{2}{5} = 2 \div 5 = 0.4 $
- $ 2 + 0.4 = 2.4 $
✔ Answer: 2.4
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xi. $ 1 \frac{1}{13} $
- $ \frac{1}{13} = 1 \div 13 \approx 0.0769 $
- $ 1 + 0.0769 = 1.0769 $
✔ Answer: ≈ 1.0769
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xii. $ 1 \frac{2}{15} $
- $ \frac{2}{15} = 2 \div 15 \approx 0.1333 $
- $ 1 + 0.1333 = 1.1333 $
✔ Answer: ≈ 1.1333
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✔ Final Answers (Rounded to 4 Decimal Places):
| Problem | Answer |
|--------|--------|
| i. $ 6 \frac{3}{5} $ |
6.6 |
| ii. $ 1 \frac{11}{14} $ |
1.7857 |
| iii. $ 1 \frac{1}{11} $ |
1.0909 |
| iv. $ 1 \frac{1}{6} $ |
1.1667 |
| v. $ 1 \frac{2}{7} $ |
1.2857 |
| vi. $ 2 \frac{1}{8} $ |
2.125 |
| vii. $ 1 \frac{13}{14} $ |
1.9286 |
| viii. $ 8 \frac{2}{5} $ |
8.4 |
| ix. $ 1 \frac{8}{19} $ |
1.4211 |
| x. $ 2 \frac{2}{5} $ |
2.4 |
| xi. $ 1 \frac{1}{13} $ |
1.0769 |
| xii. $ 1 \frac{2}{15} $ |
1.1333 |
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📝 Notes:
- Some fractions result in
repeating decimals, but we’ve rounded to 4 decimal places for simplicity.
- For exact values, you can leave them as fractions or use repeating notation (e.g., $ \frac{1}{3} = 0.\overline{3} $), but since the task asks for
decimals, rounding is acceptable.
Let me know if you'd like answers with more precision or in fraction form!
Parent Tip: Review the logic above to help your child master the concept of mixed number to decimal worksheet.
