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

Let's solve each of these fraction comparison problems step by step. We need to determine whether the first fraction is greater than (>), less than (<), or equal to (=) the second fraction.

We'll use common denominators or decimal equivalents to compare them easily.

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1) 1/3 □ 7/8

- Convert to decimals:
- 1/3 ≈ 0.333
- 7/8 = 0.875
- 0.333 < 0.875 → <

✔ Answer: <

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2) 1/6 □ 3/4

- 1/6 ≈ 0.1667
- 3/4 = 0.75
- 0.1667 < 0.75 → <

✔ Answer: <

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3) 3/8 □ 2/4

- 2/4 = 1/2 = 0.5
- 3/8 = 0.375
- 0.375 < 0.5 → <

✔ Answer: <

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4) 4/5 □ 4/8

- 4/5 = 0.8
- 4/8 = 1/2 = 0.5
- 0.8 > 0.5 → >

✔ Answer: >

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5) 1/4 □ 1/2

- 1/4 = 0.25
- 1/2 = 0.5
- 0.25 < 0.5 → <

✔ Answer: <

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6) 1/6 □ 4/5

- 1/6 ≈ 0.1667
- 4/5 = 0.8
- 0.1667 < 0.8 → <

✔ Answer: <

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7) 1/2 □ 2/6

- 2/6 = 1/3 ≈ 0.333
- 1/2 = 0.5
- 0.5 > 0.333 → >

✔ Answer: >

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8) 3/4 □ 2/6

- 3/4 = 0.75
- 2/6 = 1/3 ≈ 0.333
- 0.75 > 0.333 → >

✔ Answer: >

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9) 1/3 □ 1/3

- Same fractions → =

✔ Answer: =

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10) 2/3 □ 2/4

- 2/3 ≈ 0.6667
- 2/4 = 1/2 = 0.5
- 0.6667 > 0.5 → >

✔ Answer: >

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11) 1/8 □ 3/4

- 1/8 = 0.125
- 3/4 = 0.75
- 0.125 < 0.75 → <

✔ Answer: <

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12) 2/4 □ 1/3

- 2/4 = 1/2 = 0.5
- 1/3 ≈ 0.333
- 0.5 > 0.333 → >

✔ Answer: >

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13) 1/6 □ 3/5

- 1/6 ≈ 0.1667
- 3/5 = 0.6
- 0.1667 < 0.6 → <

✔ Answer: <

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14) 5/8 □ 4/8

- Both have same denominator.
- 5 > 4 → >

✔ Answer: >

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15) 1/3 □ 2/3

- 1/3 < 2/3 → <

✔ Answer: <

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16) 3/5 □ 1/2

- 3/5 = 0.6
- 1/2 = 0.5
- 0.6 > 0.5 → >

✔ Answer: >

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17) 2/5 □ 2/3

- 2/5 = 0.4
- 2/3 ≈ 0.6667
- 0.4 < 0.6667 → <

✔ Answer: <

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18) 1/2 □ 5/6

- 1/2 = 0.5
- 5/6 ≈ 0.8333
- 0.5 < 0.8333 → <

✔ Answer: <

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19) 1/6 □ 2/5

- 1/6 ≈ 0.1667
- 2/5 = 0.4
- 0.1667 < 0.4 → <

✔ Answer: <

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20) 1/8 □ 1/2

- 1/8 = 0.125
- 1/2 = 0.5
- 0.125 < 0.5 → <

✔ 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:

- Use decimals for quick comparisons.
- For same numerators, larger denominator → smaller fraction.
- For same denominators, larger numerator → larger fraction.
- Reduce fractions to simplest form when possible.

Let me know if you'd like this as a printable answer key!