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 are equal (like 4/6 and 12/12? Wait — let’s check that), we use “=”.
- If the first fraction is bigger, we use “>”.
- If the second fraction is bigger, we use “<”.
We can simplify fractions or find common denominators to compare them. Sometimes it’s easy just by looking!
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1a. 4/6 □ 12/12
Simplify 4/6 → divide top and bottom by 2 → 2/3
12/12 = 1
Is 2/3 less than 1? Yes → so 4/6 < 12/12
✔ Answer:
<
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1b. 6/9 □ 6/9
Same fraction on both sides → they’re equal!
✔ Answer:
=
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1c. 10/10 □ 6/6
10/10 = 1, 6/6 = 1 → both equal 1
✔ Answer:
=
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2a. 12/12 □ 10/11
12/12 = 1
10/11 is less than 1 (since numerator < denominator)
So 1 > 10/11
✔ Answer:
>
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2b. 7/7 □ 8/8
7/7 = 1, 8/8 = 1 → equal
✔ Answer:
=
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2c. 7/11 □ 9/11
Same denominator → compare numerators: 7 < 9 → so 7/11 < 9/11
✔ Answer:
<
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3a. 11/12 □ 10/12
Same denominator → 11 > 10 → so 11/12 > 10/12
✔ Answer:
>
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3b. 3/3 □ 3/6
3/3 = 1
3/6 = 1/2
1 > 1/2 → so 3/3 > 3/6
✔ Answer:
>
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3c. 5/6 □ 8/8
8/8 = 1
5/6 is less than 1 → so 5/6 < 8/8
✔ Answer:
<
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4a. 1/11 □ 1/6
Same numerator → smaller denominator means bigger fraction!
6 < 11 → so 1/6 > 1/11 → meaning 1/11 < 1/6
✔ Answer:
<
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4b. 1/11 □ 6/11
Same denominator → 1 < 6 → so 1/11 < 6/11
✔ Answer:
<
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4c. 1/2 □ 8/11
Let’s think: 1/2 = 0.5
8/11 ≈ 0.727 → which is more than 0.5
So 1/2 < 8/11
Or cross-multiply:
1 × 11 = 11
2 × 8 = 16
Since 11 < 16 → 1/2 < 8/11
✔ Answer:
<
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5a. 2/9 □ 2/2
2/2 = 1
2/9 is much less than 1 → so 2/9 < 2/2
✔ Answer:
<
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5b. 1/12 □ 2/12
Same denominator → 1 < 2 → so 1/12 < 2/12
✔ Answer:
<
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5c. 6/7 □ 6/6
6/6 = 1
6/7 is less than 1 → so 6/7 < 6/6
✔ Answer:
<
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6a. 2/9 □ 1/2
Cross-multiply:
2 × 2 = 4
9 × 1 = 9
4 < 9 → so 2/9 < 1/2
✔ Answer:
<
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6b. 5/11 □ 1/2
Cross-multiply:
5 × 2 = 10
11 × 1 = 11
10 < 11 → so 5/11 < 1/2
✔ Answer:
<
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6c. 2/3 □ 2/5
Same numerator → smaller denominator = bigger fraction
5 > 3 → so 2/5 < 2/3 → meaning 2/3 > 2/5
✔ Answer:
>
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7a. 2/8 □ 1/2
Simplify 2/8 → 1/4
1/4 vs 1/2 → 1/4 < 1/2
✔ Answer:
<
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7b. 1/1 □ 9/9
1/1 = 1, 9/9 = 1 → equal
✔ Answer:
=
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7c. 11/11 □ 4/10
11/11 = 1
4/10 = 0.4 → less than 1 → so 11/11 > 4/10
✔ Answer:
>
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8a. 7/7 □ 3/10
7/7 = 1
3/10 = 0.3 → less than 1 → so 7/7 > 3/10
✔ Answer:
>
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8b. 5/5 □ 10/12
5/5 = 1
10/12 = 5/6 ≈ 0.833 → less than 1 → so 5/5 > 10/12
✔ Answer:
>
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8c. 7/10 □ 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 comparing fractions worksheet answers.
