Let’s go through each problem one by one. We need to compare the two fractions and write > (greater than), < (less than), or = (equal to) in the box.
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1 a. 4/6 vs 12/12
- 12/12 = 1 (whole)
- 4/6 is less than 1 → so 4/6 < 12/12
✔ Answer:
<
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1 b. 6/9 vs 6/9
- Same fraction → equal
✔ Answer:
=
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1 c. 10/10 vs 6/6
- 10/10 = 1, 6/6 = 1 → both are whole numbers
✔ Answer:
=
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2 a. 12/12 vs 10/11
- 12/12 = 1
- 10/11 is almost 1 but not quite → so 12/12 > 10/11
✔ Answer:
>
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2 b. 7/7 vs 8/8
- Both equal 1 → equal
✔ Answer:
=
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2 c. 7/11 vs 9/11
- Same denominator → compare numerators: 7 < 9 → so 7/11 < 9/11
✔ Answer:
<
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3 a. 11/12 vs 10/12
- Same denominator → 11 > 10 → so 11/12 > 10/12
✔ Answer:
>
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3 b. 3/3 vs 3/6
- 3/3 = 1
- 3/6 = 1/2 → 1 > 1/2 → so 3/3 > 3/6
✔ Answer:
>
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3 c. 5/6 vs 8/8
- 8/8 = 1
- 5/6 is less than 1 → so 5/6 < 8/8
✔ Answer:
<
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4 a. 1/11 vs 1/6
- Same numerator → smaller denominator means bigger fraction → 6 < 11 → so 1/6 > 1/11 → therefore 1/11 < 1/6
✔ Answer:
<
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4 b. 1/11 vs 6/11
- Same denominator → 1 < 6 → so 1/11 < 6/11
✔ Answer:
<
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4 c. 1/2 vs 8/11
- Convert to common denominator or decimal:
- 1/2 = 0.5
- 8/11 ≈ 0.727 → so 1/2 < 8/11
✔ Answer:
<
*(Alternatively: cross multiply — 1×11=11, 2×8=16 → 11 < 16 → so 1/2 < 8/11)*
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5 a. 2/9 vs 2/2
- 2/2 = 1
- 2/9 is much less than 1 → so 2/9 < 2/2
✔ Answer:
<
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5 b. 1/12 vs 2/12
- Same denominator → 1 < 2 → so 1/12 < 2/12
✔ Answer:
<
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5 c. 6/7 vs 6/6
- 6/6 = 1
- 6/7 is less than 1 → so 6/7 < 6/6
✔ Answer:
<
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6 a. 2/9 vs 1/2
- Cross multiply: 2×2 = 4, 9×1 = 9 → 4 < 9 → so 2/9 < 1/2
✔ Answer:
<
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6 b. 5/11 vs 1/2
- Cross multiply: 5×2 = 10, 11×1 = 11 → 10 < 11 → so 5/11 < 1/2
✔ Answer:
<
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6 c. 2/3 vs 2/5
- Same numerator → smaller denominator = bigger fraction → 3 < 5 → so 2/3 > 2/5
✔ Answer:
>
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7 a. 2/8 vs 1/2
- Simplify 2/8 = 1/4 → 1/4 < 1/2
✔ Answer:
<
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7 b. 1/1 vs 9/9
- Both = 1 → equal
✔ Answer:
=
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7 c. 11/11 vs 4/10
- 11/11 = 1
- 4/10 = 0.4 → 1 > 0.4 → so 11/11 > 4/10
✔ Answer:
>
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8 a. 7/7 vs 3/10
- 7/7 = 1
- 3/10 = 0.3 → 1 > 0.3 → so 7/7 > 3/10
✔ Answer:
>
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8 b. 5/5 vs 10/12
- 5/5 = 1
- 10/12 ≈ 0.833 → 1 > 0.833 → so 5/5 > 10/12
✔ Answer:
>
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8 c. 7/10 vs 1/2
- 1/2 = 5/10 → 7/10 > 5/10 → so 7/10 > 1/2
✔ Answer:
>
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Final Answer:
1a: <, 1b: =, 1c: =
2a: >, 2b: =, 2c: <
3a: >, 3b: >, 3c: <
4a: <, 4b: <, 4c: <
5a: <, 5b: <, 5c: <
6a: <, 6b: <, 6c: >
7a: <, 7b: =, 7c: >
8a: >, 8b: >, 8c: >
Parent Tip: Review the logic above to help your child master the concept of equivalent fractions worksheet pdf.
