Let's solve each mixed number and convert it to a decimal step by step.
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How to Convert Mixed Numbers to Decimals:
A mixed number like $ a \frac{b}{c} $ can be converted to a decimal by:
1. Converting the fractional part $ \frac{b}{c} $ to a decimal.
2. Adding that decimal to the whole number $ a $.
We'll do this for each problem.
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1. $ 6 \frac{3}{5} $
- $ \frac{3}{5} = 0.6 $
- $ 6 + 0.6 = 6.6 $
✔ Answer: 6.6
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2. $ 7 \frac{1}{4} $
- $ \frac{1}{4} = 0.25 $
- $ 7 + 0.25 = 7.25 $
✔ Answer: 7.25
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3. $ 9 \frac{1}{2} $
- $ \frac{1}{2} = 0.5 $
- $ 9 + 0.5 = 9.5 $
✔ Answer: 9.5
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4. $ 5 \frac{3}{10} $
- $ \frac{3}{10} = 0.3 $
- $ 5 + 0.3 = 5.3 $
✔ Answer: 5.3
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5. $ 12 \frac{6}{20} $
- Simplify $ \frac{6}{20} = \frac{3}{10} = 0.3 $
- $ 12 + 0.3 = 12.3 $
✔ Answer: 12.3
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6. $ 8 \frac{5}{25} $
- $ \frac{5}{25} = \frac{1}{5} = 0.2 $
- $ 8 + 0.2 = 8.2 $
✔ Answer: 8.2
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7. $ 11 \frac{3}{4} $
- $ \frac{3}{4} = 0.75 $
- $ 11 + 0.75 = 11.75 $
✔ Answer: 11.75
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8. $ 4 \frac{3}{25} $
- $ \frac{3}{25} = 0.12 $ (since $ 3 ÷ 25 = 0.12 $)
- $ 4 + 0.12 = 4.12 $
✔ Answer: 4.12
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9. $ 9 \frac{7}{50} $
- $ \frac{7}{50} = 0.14 $ (since $ 7 ÷ 50 = 0.14 $)
- $ 9 + 0.14 = 9.14 $
✔ Answer: 9.14
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10. $ 6 \frac{14}{25} $
- $ \frac{14}{25} = 0.56 $ (since $ 14 ÷ 25 = 0.56 $)
- $ 6 + 0.56 = 6.56 $
✔ Answer: 6.56
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✔ Final Answers:
1. $ 6 \frac{3}{5} = \boxed{6.6} $
2. $ 7 \frac{1}{4} = \boxed{7.25} $
3. $ 9 \frac{1}{2} = \boxed{9.5} $
4. $ 5 \frac{3}{10} = \boxed{5.3} $
5. $ 12 \frac{6}{20} = \boxed{12.3} $
6. $ 8 \frac{5}{25} = \boxed{8.2} $
7. $ 11 \frac{3}{4} = \boxed{11.75} $
8. $ 4 \frac{3}{25} = \boxed{4.12} $
9. $ 9 \frac{7}{50} = \boxed{9.14} $
10. $ 6 \frac{14}{25} = \boxed{6.56} $
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Let me know if you'd like these shown in a table or printed format!
Parent Tip: Review the logic above to help your child master the concept of mixed number to decimal worksheet.
