Let's solve each of the fraction-to-decimal problems step by step.
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1. $\frac{6}{10} = ?$
- This is a fraction with denominator 10.
- To convert to decimal, divide numerator by denominator:
$6 \div 10 = 0.6$
✔ Answer: $0.6$
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2. $\frac{1}{3} = ?$
- Divide 1 by 3:
$1 \div 3 = 0.\overline{3}$ (repeating decimal)
✔ Answer: $0.\overline{3}$ or approximately $0.333$
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3. $\frac{2}{100} = ?$
- Denominator is 100 → move decimal two places left:
$2 \div 100 = 0.02$
✔ Answer: $0.02$
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4. $\frac{7}{10} = ?$
- Denominator is 10 → one decimal place:
$7 \div 10 = 0.7$
✔ Answer: $0.7$
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5. $\frac{1}{20} = ?$
- Divide 1 by 20:
$1 \div 20 = 0.05$
✔ Answer: $0.05$
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6. $\frac{16}{100} = ?$
- Denominator is 100:
$16 \div 100 = 0.16$
✔ Answer: $0.16$
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7. $\frac{1}{5} = ?$
- Divide 1 by 5:
$1 \div 5 = 0.2$
✔ Answer: $0.2$
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8. $\frac{3}{4} = ?$
- Divide 3 by 4:
$3 \div 4 = 0.75$
✔ Answer: $0.75$
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9. $\frac{10}{100} = ?$
- $10 \div 100 = 0.10$ → simplifies to $0.1$
✔ Answer: $0.1$
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10. $\frac{7}{100} = ?$
- $7 \div 100 = 0.07$
✔ Answer: $0.07$
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✔ Final Answers:
1. $0.6$
2. $0.\overline{3}$ (or $0.333...$)
3. $0.02$
4. $0.7$
5. $0.05$
6. $0.16$
7. $0.2$
8. $0.75$
9. $0.1$
10. $0.07$
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🔍 Tips:
- When the denominator is
10,
100, or
1000, you can easily convert to decimals by placing the numerator in the correct decimal place.
- For other fractions, use division: numerator ÷ denominator.
- Some fractions result in repeating decimals (like $1/3$), so we write them with a bar over the repeating digit.
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 fraction to decimal worksheet 5th grade.
