Let's solve each problem on the
"Converting Mixed Numbers to Decimals" worksheet step by step.
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🔢 How to Convert a Mixed Number to a Decimal:
A mixed number has a whole number and a fraction (e.g., $ 4 \frac{19}{25} $).
To convert it to a decimal:
1.
Convert the fractional part to a decimal by dividing the numerator by the denominator.
2.
Add the result to the whole number.
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Now, let’s solve each one:
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#### 1. $ 4 \frac{19}{25} $
- $ \frac{19}{25} = 19 ÷ 25 = 0.76 $
- $ 4 + 0.76 = 4.76 $
✔ Answer: 4.76
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#### 2. $ 1 \frac{2}{3} $
- $ \frac{2}{3} ≈ 2 ÷ 3 = 0.\overline{6} ≈ 0.6667 $
- $ 1 + 0.6667 = 1.6667 $
✔ Answer: 1.6667 (or $ 1.\overline{6} $)
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#### 3. $ 10 \frac{1}{2} $
- $ \frac{1}{2} = 0.5 $
- $ 10 + 0.5 = 10.5 $
✔ Answer: 10.5
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#### 4. $ 8 \frac{86}{100} $
- $ \frac{86}{100} = 0.86 $
- $ 8 + 0.86 = 8.86 $
✔ Answer: 8.86
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#### 5. $ 10 \frac{1}{4} $
- $ \frac{1}{4} = 0.25 $
- $ 10 + 0.25 = 10.25 $
✔ Answer: 10.25
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#### 6. $ 7 \frac{42}{50} $
- $ \frac{42}{50} = 42 ÷ 50 = 0.84 $
- $ 7 + 0.84 = 7.84 $
✔ Answer: 7.84
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#### 7. $ 8 \frac{4}{5} $
- $ \frac{4}{5} = 0.8 $
- $ 8 + 0.8 = 8.8 $
✔ Answer: 8.8
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#### 8. $ 2 \frac{6}{10} $
- $ \frac{6}{10} = 0.6 $
- $ 2 + 0.6 = 2.6 $
✔ Answer: 2.6
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#### 9. $ 7 \frac{13}{50} $
- $ \frac{13}{50} = 13 ÷ 50 = 0.26 $
- $ 7 + 0.26 = 7.26 $
✔ Answer: 7.26
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#### 10. $ 4 \frac{1}{2} $
- $ \frac{1}{2} = 0.5 $
- $ 4 + 0.5 = 4.5 $
✔ Answer: 4.5
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#### 11. $ 4 \frac{21}{25} $
- $ \frac{21}{25} = 21 ÷ 25 = 0.84 $
- $ 4 + 0.84 = 4.84 $
✔ Answer: 4.84
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#### 12. $ 9 \frac{3}{5} $
- $ \frac{3}{5} = 0.6 $
- $ 9 + 0.6 = 9.6 $
✔ Answer: 9.6
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#### 13. $ 1 \frac{41}{50} $
- $ \frac{41}{50} = 41 ÷ 50 = 0.82 $
- $ 1 + 0.82 = 1.82 $
✔ Answer: 1.82
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#### 14. $ 6 \frac{5}{10} $
- $ \frac{5}{10} = 0.5 $
- $ 6 + 0.5 = 6.5 $
✔ Answer: 6.5
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#### 15. $ 6 \frac{1}{2} $
- $ \frac{1}{2} = 0.5 $
- $ 6 + 0.5 = 6.5 $
✔ Answer: 6.5
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#### 16. $ 2 \frac{4}{5} $
- $ \frac{4}{5} = 0.8 $
- $ 2 + 0.8 = 2.8 $
✔ Answer: 2.8
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1. $ 4 \frac{19}{25} $ |
4.76 |
| 2. $ 1 \frac{2}{3} $ |
1.6667 (or $ 1.\overline{6} $) |
| 3. $ 10 \frac{1}{2} $ |
10.5 |
| 4. $ 8 \frac{86}{100} $ |
8.86 |
| 5. $ 10 \frac{1}{4} $ |
10.25 |
| 6. $ 7 \frac{42}{50} $ |
7.84 |
| 7. $ 8 \frac{4}{5} $ |
8.8 |
| 8. $ 2 \frac{6}{10} $ |
2.6 |
| 9. $ 7 \frac{13}{50} $ |
7.26 |
| 10. $ 4 \frac{1}{2} $ |
4.5 |
| 11. $ 4 \frac{21}{25} $ |
4.84 |
| 12. $ 9 \frac{3}{5} $ |
9.6 |
| 13. $ 1 \frac{41}{50} $ |
1.82 |
| 14. $ 6 \frac{5}{10} $ |
6.5 |
| 15. $ 6 \frac{1}{2} $ |
6.5 |
| 16. $ 2 \frac{4}{5} $ |
2.8 |
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📝 Tips:
- For fractions with denominators like 10, 100, or 50, converting is easy because they relate to decimals.
- For others (like 3, 25), use division.
- Always check if the fraction can be simplified first (though not necessary here since we're just converting).
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of mixed number to decimal worksheet.
