Let's solve each problem step by step by comparing the given fractions and decimals. We'll determine whether the fraction is
greater than (>), less than (<), or equal to (=) the decimal.
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Step-by-step Solutions:
We will convert each fraction to a decimal (or compare directly) and then compare with the given decimal.
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1) 4/5 ___ 0.75
- 4 ÷ 5 = 0.8
- 0.8 > 0.75 →
>
✔ Answer: >
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2) 1/2 ___ 0.55
- 1 ÷ 2 = 0.5
- 0.5 < 0.55 →
<
✔ Answer: <
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3) 2/4 ___ 0.625
- 2 ÷ 4 = 0.5
- 0.5 < 0.625 →
<
✔ Answer: <
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4) 1/2 ___ 0.475
- 1 ÷ 2 = 0.5
- 0.5 > 0.475 →
>
✔ Answer: >
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5) 1/2 ___ 0.625
- 1 ÷ 2 = 0.5
- 0.5 < 0.625 →
<
✔ Answer: <
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6) 3/4 ___ 0.75
- 3 ÷ 4 = 0.75
- 0.75 = 0.75 →
=
✔ Answer: =
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7) 1/2 ___ 0.35
- 1 ÷ 2 = 0.5
- 0.5 > 0.35 →
>
✔ Answer: >
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8) 2/3 ___ 0.667
- 2 ÷ 3 ≈ 0.666... (repeating)
- 0.666... ≈ 0.667 (very close, but slightly less)
- So 2/3 < 0.667 →
<
✔ Answer: <
*(Note: 2/3 = 0.666..., which is less than 0.667)*
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9) 2/4 ___ 0.375
- 2 ÷ 4 = 0.5
- 0.5 > 0.375 →
>
✔ Answer: >
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10) 1/5 ___ 0.2
- 1 ÷ 5 = 0.2
- 0.2 = 0.2 →
=
✔ Answer: =
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11) 3/6 ___ 0.6
- 3 ÷ 6 = 0.5
- 0.5 < 0.6 →
<
✔ Answer: <
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12) 2/3 ___ 0.817
- 2 ÷ 3 ≈ 0.666...
- 0.666... < 0.817 →
<
✔ Answer: <
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13) 1/4 ___ 0.275
- 1 ÷ 4 = 0.25
- 0.25 < 0.275 →
<
✔ Answer: <
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14) 1/8 ___ 0.125
- 1 ÷ 8 = 0.125
- 0.125 = 0.125 →
=
✔ Answer: =
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15) 2/3 ___ 0.592
- 2 ÷ 3 ≈ 0.666...
- 0.666... > 0.592 →
>
✔ Answer: >
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16) 3/5 ___ 0.6
- 3 ÷ 5 = 0.6
- 0.6 = 0.6 →
=
✔ Answer: =
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17) 1/3 ___ 0.408
- 1 ÷ 3 ≈ 0.333...
- 0.333... < 0.408 →
<
✔ Answer: <
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18) 1/8 ___ 0.125
- 1 ÷ 8 = 0.125
- 0.125 = 0.125 →
=
✔ Answer: =
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19) 5/6 ___ 0.733
- 5 ÷ 6 ≈ 0.8333...
- 0.8333... > 0.733 →
>
✔ Answer: >
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20) 5/6 ___ 0.708
- 5 ÷ 6 ≈ 0.8333...
- 0.8333... > 0.708 →
>
✔ Answer: >
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1) | > |
| 2) | < |
| 3) | < |
| 4) | > |
| 5) | < |
| 6) | = |
| 7) | > |
| 8) | < |
| 9) | > |
| 10) | = |
| 11) | < |
| 12) | < |
| 13) | < |
| 14) | = |
| 15) | > |
| 16) | = |
| 17) | < |
| 18) | = |
| 19) | > |
| 20) | > |
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📝 Summary Tips:
- Convert fractions to decimals by dividing numerator by denominator.
- Compare decimals directly.
- Watch out for repeating decimals like 1/3 ≈ 0.333... and 2/3 ≈ 0.666...
- Some decimals are approximations — be careful when comparing.
Let me know if you'd like this in printable format or need explanations for any specific one!
Parent Tip: Review the logic above to help your child master the concept of comparing decimals and fractions worksheet.
