Of course! Let's solve each of these fraction-to-decimal conversions step by step.
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How to convert a fraction to a decimal:
You divide the
numerator (top number) by the
denominator (bottom number).
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Problem Solutions:
#### 1. $\frac{4}{5}$
- Divide 4 by 5: $4 ÷ 5 = 0.8$
✔ Answer: 0.8
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#### 2. $\frac{2}{3}$
- Divide 2 by 3: $2 ÷ 3 = 0.666...$ (repeating)
- We usually write this as
0.67 (rounded to two decimal places) for elementary worksheets, unless otherwise specified.
✔ Answer: 0.67 (or 0.6̅ if repeating is accepted)
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#### 3. $\frac{2}{5}$
- Divide 2 by 5: $2 ÷ 5 = 0.4$
✔ Answer: 0.4
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#### 4. $\frac{1}{6}$
- Divide 1 by 6: $1 ÷ 6 = 0.1666...$ (repeating)
- Rounded to two decimal places:
0.17
✔ Answer: 0.17 (or 0.16̅)
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#### 5. $\frac{3}{100}$
- Divide 3 by 100: $3 ÷ 100 = 0.03$
✔ Answer: 0.03
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#### 6. $\frac{1}{3}$
- Divide 1 by 3: $1 ÷ 3 = 0.333...$ (repeating)
- Rounded to two decimal places:
0.33
✔ Answer: 0.33 (or 0.3̅)
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#### 7. $\frac{1}{8}$
- Divide 1 by 8: $1 ÷ 8 = 0.125$
✔ Answer: 0.125
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#### 8. $\frac{4}{10}$
- Divide 4 by 10: $4 ÷ 10 = 0.4$
✔ Answer: 0.4
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#### 9. $\frac{8}{100}$
- Divide 8 by 100: $8 ÷ 100 = 0.08$
✔ Answer: 0.08
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#### 10. $\frac{6}{100}$
- Divide 6 by 100: $6 ÷ 100 = 0.06$
✔ Answer: 0.06
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✔ Final Answers:
1.
0.8
2.
0.67 (or 0.6̅)
3.
0.4
4.
0.17 (or 0.16̅)
5.
0.03
6.
0.33 (or 0.3̅)
7.
0.125
8.
0.4
9.
0.08
10.
0.06
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Note for Teachers/Students: In many elementary worksheets, repeating decimals are rounded to two decimal places unless the instructions specify to show repeating notation (like a bar over the digit). Always check your worksheet’s directions!
Let me know if you’d like to see long division steps or visual models for any of these!
Parent Tip: Review the logic above to help your child master the concept of decimals worksheet grade 5.
