You're asked to
convert decimals to fractions. The goal is to express each decimal as a simplified fraction.
Let’s go through each problem step-by-step, explaining the method and giving the answer.
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🔢 General Method:
1. Write the decimal as a fraction with denominator = 10, 100, 1000, etc., depending on how many decimal places.
2. Simplify the fraction by dividing numerator and denominator by their GCF (Greatest Common Factor).
Some decimals are repeating or approximate common fractions — we’ll use known equivalents where possible.
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##
✔ Solutions:
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1) 0.167
This is approximately
1/6 (since 1 ÷ 6 ≈ 0.1666...).
If you want exact:
0.167 = 167/1000 → already simplified (167 is prime).
But since this is likely meant to be a common fraction,
1/6 is expected.
✔ Answer: 1/6
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2) 0.083
Approximately
1/12 (1 ÷ 12 ≈ 0.0833...)
Exact: 83/1000 → can’t simplify. But context suggests
1/12
✔ Answer: 1/12
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3) 0.2
= 2/10 =
1/5
✔ Answer: 1/5
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4) 0.75
= 75/100 =
3/4
✔ Answer: 3/4
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5) 0.2 (again)
Same as #3 →
1/5
✔ Answer: 1/5
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6) 0.833
Approximately
5/6 (5 ÷ 6 ≈ 0.8333...)
Exact: 833/1000 → not simplifiable, but context suggests
5/6
✔ Answer: 5/6
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7) 0.25
= 25/100 =
1/4
✔ Answer: 1/4
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8) 0.75
Same as #4 →
3/4
✔ Answer: 3/4
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9) 0.25
Same as #7 →
1/4
✔ Answer: 1/4
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10) 0.833
Same as #6 →
5/6
✔ Answer: 5/6
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11) 0.7
= 7/10 → already simplified
✔ Answer: 7/10
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12) 0.6
= 6/10 =
3/5
✔ Answer: 3/5
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13) 0.625
= 625/1000 = divide numerator & denominator by 125 →
5/8
✔ Answer: 5/8
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14) 0.333
Approximately
1/3 (1 ÷ 3 ≈ 0.333...)
✔ Answer: 1/3
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15) 0.4
= 4/10 =
2/5
✔ Answer: 2/5
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16) 0.375
= 375/1000 = divide by 125 →
3/8
✔ Answer: 3/8
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17) 0.6
Same as #12 →
3/5
✔ Answer: 3/5
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18) 0.917
Approximately
11/12 (11 ÷ 12 ≈ 0.9166...)
Exact: 917/1000 → not simplifiable, so
11/12 is best match.
✔ Answer: 11/12
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19) 0.333
Same as #14 →
1/3
✔ Answer: 1/3
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20) 0.125
= 125/1000 =
1/8
✔ Answer: 1/8
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## 📋 Final Answer Key:
1) 1/6
2) 1/12
3) 1/5
4) 3/4
5) 1/5
6) 5/6
7) 1/4
8) 3/4
9) 1/4
10) 5/6
11) 7/10
12) 3/5
13) 5/8
14) 1/3
15) 2/5
16) 3/8
17) 3/5
18) 11/12
19) 1/3
20) 1/8
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💡
Note: Some decimals like 0.167, 0.833, 0.333, 0.917 are approximations of repeating decimals (like 1/6, 5/6, 1/3, 11/12). In school contexts, these are usually intended to be converted to their closest simple fractional equivalent, not the exact decimal fraction.
Let me know if you’d like them all written as exact fractions too!
Parent Tip: Review the logic above to help your child master the concept of change fraction to decimal worksheet.
