Comparing fractions using visual diagrams with circles divided into parts.

To solve this problem, we need to compare the fractions shown in each pair of pie charts and fill in the correct symbol: < (less than), > (greater than), or = (equal to).

Let’s go step by step:

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Problem 1:
- Left pie: 2 out of 4 slices shaded → fraction = 2/4
- Right pie: 1 out of 4 slices shaded → fraction = 1/4
→ 2/4 is greater than 1/4 → 2/4 > 1/4

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Problem 2:
- Left pie: 2 out of 8 slices shaded → 2/8
- Right pie: 7 out of 8 slices shaded → 7/8
→ 2/8 is less than 7/8 → 2/8 < 7/8

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Problem 3:
- Left pie: 1 out of 2 slices shaded → 1/2
- Right pie: 5 out of 6 slices shaded → 5/6
→ To compare, let’s think: 1/2 = 3/6, and 3/6 < 5/6 → 1/2 < 5/6

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Problem 4:
- Left pie: 4 out of 10 slices shaded → 4/10
- Right pie: 2 out of 3 slices shaded → 2/3
→ Let’s convert to common denominator or estimate:
- 4/10 = 0.4
- 2/3 ≈ 0.666...
→ 0.4 < 0.666 → 4/10 < 2/3

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Problem 5:
- Left pie: 4 out of 8 slices shaded → 4/8
- Right pie: 5 out of 12 slices shaded → 5/12
→ Simplify 4/8 = 1/2 = 6/12
→ 6/12 > 5/12 → 4/8 > 5/12

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Problem 6:
- Left pie: 2 out of 6 slices shaded → 2/6
- Right pie: 4 out of 6 slices shaded → 4/6
→ 2/6 < 4/6 → 2/6 < 4/6

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Problem 7:
- Left pie: 7 out of 12 slices shaded → 7/12
- Right pie: 1 out of 3 slices shaded → 1/3 = 4/12
→ 7/12 > 4/12 → 7/12 > 1/3

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Problem 8:
- Left pie: 4 out of 8 slices shaded → 4/8 = 1/2
- Right pie: 2 out of 3 slices shaded → 2/3
→ 1/2 = 3/6, 2/3 = 4/6 → 3/6 < 4/6 → 4/8 < 2/3

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Final Answers:

1. 2/4 > 1/4
2. 2/8 < 7/8
3. 1/2 < 5/6
4. 4/10 < 2/3
5. 4/8 > 5/12
6. 2/6 < 4/6
7. 7/12 > 1/3
8. 4/8 < 2/3