Comparing fractions using number lines to determine greater than, less than, or equal to.

Let’s solve each part step by step. We’re comparing fractions using number lines (or just logic if we can’t see the line). The goal is to put <, >, or = between each pair.

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Part 1: Fractions from 0 to 1

a) 2/6 vs 4/6
→ Same denominator. Compare numerators: 2 < 4 → 2/6 < 4/6

b) 3/4 vs 3/8
→ Same numerator. Smaller denominator means bigger fraction. 4 < 8 → so 3/4 > 3/8 → 3/4 > 3/8

c) 1/3 vs 1/5
→ Same numerator. 3 < 5 → so 1/3 > 1/5 → 1/3 > 1/5

d) 4/8 vs 4/8
→ Exactly the same → 4/8 = 4/8

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Part 2: Fractions around 1 and beyond

a) 10/9 vs 7/9
→ Same denominator. 10 > 7 → 10/9 > 7/9

b) 8/9 vs 11/9
→ Same denominator. 8 < 11 → 8/9 < 11/9

c) 6/9 vs 12/9
→ Same denominator. 6 < 12 → 6/9 < 12/9

d) 13/9 vs 12/9
→ Same denominator. 13 > 12 → 13/9 > 12/9

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Part 3: Mixed numbers

a) 3 1/4 vs 3 3/4
→ Whole parts are equal (both 3). Compare fractions: 1/4 < 3/4 → 3 1/4 < 3 3/4

b) 4 2/3 vs 4 1/3
→ Whole parts equal (4). Compare fractions: 2/3 > 1/3 → 4 2/3 > 4 1/3

c) 4 1/2 vs 4 1/2
→ Exactly the same → 4 1/2 = 4 1/2

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Final Answer:

1a) <
1b) >
1c) >
1d) =

2a) >
2b) <
2c) <
2d) >

3a) <
3b) >
3c) =