Let’s go through each problem one by one. We’ll compare the fractions and decide if we should write >, <, or = in the box.
Remember:
- If two fractions have the same denominator (bottom number), just compare the numerators (top numbers). Bigger top number = bigger fraction.
- If two fractions have the same numerator, the one with the smaller denominator is bigger (because you’re splitting into fewer pieces, so each piece is larger).
- If they’re different, sometimes you can simplify them first — like 6/9 becomes 2/3, or 12/12 is just 1.
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1a. 4/6 ___ 12/12
Simplify: 4/6 = 2/3, and 12/12 = 1 → 2/3 < 1 →
<
1b. 6/9 ___ 6/9
Same fraction →
=
1c. 10/10 ___ 6/6
Both equal 1 →
=
---
2a. 12/12 ___ 10/11
12/12 = 1, 10/11 is less than 1 →
>
2b. 7/7 ___ 8/8
Both equal 1 →
=
2c. 7/11 ___ 9/11
Same denominator → 7 < 9 →
<
---
3a. 11/12 ___ 10/12
Same denominator → 11 > 10 →
>
3b. 3/3 ___ 3/6
3/3 = 1, 3/6 = 1/2 → 1 > 1/2 →
>
3c. 5/6 ___ 8/8
8/8 = 1, 5/6 < 1 →
<
---
4a. 1/11 ___ 1/6
Same numerator → smaller denominator means bigger fraction → 1/6 > 1/11 →
<
4b. 1/11 ___ 6/11
Same denominator → 1 < 6 →
<
4c. 1/2 ___ 8/11
Compare: 1/2 = 0.5, 8/11 ≈ 0.72 → 0.5 < 0.72 →
<
*(Or cross multiply: 1×11 = 11, 2×8 = 16 → 11 < 16 → so 1/2 < 8/11)*
---
5a. 2/9 ___ 2/2
2/2 = 1, 2/9 < 1 →
<
5b. 1/12 ___ 2/12
Same denominator → 1 < 2 →
<
5c. 6/7 ___ 6/6
6/6 = 1, 6/7 < 1 →
<
---
6a. 2/9 ___ 1/2
Cross multiply: 2×2 = 4, 9×1 = 9 → 4 < 9 → so 2/9 < 1/2 →
<
6b. 5/11 ___ 1/2
Cross multiply: 5×2 = 10, 11×1 = 11 → 10 < 11 → so 5/11 < 1/2 →
<
6c. 2/3 ___ 2/5
Same numerator → smaller denominator = bigger fraction → 2/3 > 2/5 →
>
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7a. 2/8 ___ 1/2
Simplify 2/8 = 1/4 → 1/4 < 1/2 →
<
7b. 1/1 ___ 9/9
Both equal 1 →
=
7c. 11/11 ___ 4/10
11/11 = 1, 4/10 = 0.4 → 1 > 0.4 →
>
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8a. 7/7 ___ 3/10
7/7 = 1, 3/10 < 1 →
>
8b. 5/5 ___ 10/12
5/5 = 1, 10/12 < 1 →
>
8c. 7/10 ___ 1/2
1/2 = 5/10 → 7/10 > 5/10 →
>
---
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 comparing unlike fractions worksheet.