Free worksheets for comparing or ordering fractions - Free Printable

I'll solve this "Comparing Fractions Worksheet" by comparing each pair of fractions and determining whether to use >, <, or = between them.

Let me work through each problem systematically:

Row 1:
- 1a: 1/2 vs 10/10 → 1/2 = 0.5, 10/10 = 1 → 0.5 < 1, so 1/2 < 10/10
- 1b: 3/9 vs 1/2 → 3/9 = 1/3 ≈ 0.333, 1/2 = 0.5 → 0.333 < 0.5, so 3/9 < 1/2
- 1c: 1/12 vs 1/12 → These are identical, so 1/12 = 1/12

Row 2:
- 2a: 9/12 vs 12/12 → 9/12 = 3/4 = 0.75, 12/12 = 1 → 0.75 < 1, so 9/12 < 12/12
- 2b: 3/3 vs 6/12 → 3/3 = 1, 6/12 = 1/2 = 0.5 → 1 > 0.5, so 3/3 > 6/12
- 2c: 9/11 vs 10/10 → 9/11 ≈ 0.818, 10/10 = 1 → 0.818 < 1, so 9/11 < 10/10

Row 3:
- 3a: 10/10 vs 10/11 → 10/10 = 1, 10/11 ≈ 0.909 → 1 > 0.909, so 10/10 > 10/11
- 3b: 6/6 vs 7/11 → 6/6 = 1, 7/11 ≈ 0.636 → 1 > 0.636, so 6/6 > 7/11
- 3c: 1/5 vs 1/12 → 1/5 = 0.2, 1/12 ≈ 0.083 → 0.2 > 0.083, so 1/5 > 1/12

Row 4:
- 4a: 1/2 vs 12/12 → 1/2 = 0.5, 12/12 = 1 → 0.5 < 1, so 1/2 < 12/12
- 4b: 5/9 vs 5/9 → These are identical, so 5/9 = 5/9
- 4c: 1/2 vs 2/3 → 1/2 = 0.5, 2/3 ≈ 0.667 → 0.5 < 0.667, so 1/2 < 2/3

Row 5:
- 5a: 2/2 vs 11/11 → 2/2 = 1, 11/11 = 1 → These are identical, so 2/2 = 11/11
- 5b: 6/7 vs 6/10 → 6/7 ≈ 0.857, 6/10 = 0.6 → 0.857 > 0.6, so 6/7 > 6/10
- 5c: 2/2 vs 2/9 → 2/2 = 1, 2/9 ≈ 0.222 → 1 > 0.222, so 2/2 > 2/9

Here's the completed worksheet with the correct symbols:

1a. 1/2 < 10/10
1b. 3/9 < 1/2
1c. 1/12 = 1/12

2a. 9/12 < 12/12
2b. 3/3 > 6/12
2c. 9/11 < 10/10

3a. 10/10 > 10/11
3b. 6/6 > 7/11
3c. 1/5 > 1/12

4a. 1/2 < 12/12
4b. 5/9 = 5/9
4c. 1/2 < 2/3

5a. 2/2 = 11/11
5b. 6/7 > 6/10
5c. 2/2 > 2/9