Fraction comparison worksheet for students to practice determining the correct symbol between fractions.

Let’s solve each problem step by step. We’re comparing two fractions and need to put >, <, or = in the box.

To compare fractions:
- If denominators are the same, just compare numerators.
- If numerators are the same, the fraction with the smaller denominator is bigger (because you’re splitting into fewer pieces).
- If both are different, find a common denominator or cross-multiply.

We’ll go one by one.

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1) 1/3 vs 7/8

Cross multiply:
1 × 8 = 8
3 × 7 = 21
Since 8 < 21 → 1/3 < 7/8

✔ <

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2) 1/6 vs 3/4

Cross multiply:
1 × 4 = 4
6 × 3 = 18
4 < 18 → 1/6 < 3/4

✔ <

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3) 3/8 vs 2/4

First, simplify 2/4 = 1/2
Now compare 3/8 and 1/2 → convert 1/2 to 4/8
3/8 < 4/8 → so 3/8 < 2/4

✔ <

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4) 4/5 vs 4/8

Same numerator → smaller denominator means bigger fraction
5 < 8 → so 4/5 > 4/8

✔ >

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5) 1/4 vs 1/2

Same numerator → 4 > 2 → so 1/4 < 1/2

✔ <

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6) 1/6 vs 4/5

Cross multiply:
1 × 5 = 5
6 × 4 = 24
5 < 24 → 1/6 < 4/5

✔ <

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7) 1/2 vs 2/6

Simplify 2/6 = 1/3
Compare 1/2 and 1/3 → 1/2 > 1/3

✔ >

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8) 3/4 vs 2/6

Simplify 2/6 = 1/3
Compare 3/4 and 1/3 → cross multiply:
3×3=9, 4×1=4 → 9>4 → 3/4 > 1/3

✔ >

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9) 1/3 vs 1/3

Exactly the same!

✔ =

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10) 2/3 vs 2/4

Same numerator → 3 < 4 → so 2/3 > 2/4

✔ >

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11) 1/8 vs 3/4

Convert 3/4 to eighths: 3/4 = 6/8
1/8 < 6/8 → so 1/8 < 3/4

✔ <

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12) 2/4 vs 1/3

Simplify 2/4 = 1/2
Compare 1/2 and 1/3 → 1/2 > 1/3

✔ >

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13) 1/6 vs 3/5

Cross multiply:
1×5=5, 6×3=18 → 5<18 → 1/6 < 3/5

✔ <

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14) 5/8 vs 4/8

Same denominator → 5 > 4 → 5/8 > 4/8

✔ >

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15) 1/3 vs 2/3

Same denominator → 1 < 2 → 1/3 < 2/3

✔ <

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16) 3/5 vs 1/2

Cross multiply:
3×2=6, 5×1=5 → 6>5 → 3/5 > 1/2

✔ >

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17) 2/5 vs 2/3

Same numerator → 5 > 3 → so 2/5 < 2/3

✔ <

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18) 1/2 vs 5/6

Convert 1/2 to sixths: 1/2 = 3/6
3/6 < 5/6 → so 1/2 < 5/6

✔ <

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19) 1/6 vs 2/5

Cross multiply:
1×5=5, 6×2=12 → 5<12 → 1/6 < 2/5

✔ <

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20) 1/8 vs 1/2

Same numerator → 8 > 2 → so 1/8 < 1/2

✔ <

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Final Answer:

1) <
2) <
3) <
4) >
5) <
6) <
7) >
8) >
9) =
10) >
11) <
12) >
13) <
14) >
15) <
16) >
17) <
18) <
19) <
20) <