Comparing Fractions Worksheet with Visual Examples and Symbols

Let’s go through each fraction comparison one by one. We’ll use simple rules:

- If the denominators (bottom numbers) are the same, the bigger numerator (top number) means the bigger fraction.
- If the numerators are the same, the smaller denominator means the bigger fraction (because you’re splitting into fewer pieces — so each piece is bigger).
- If both are different, we can think about what they mean or find a common denominator — but for these problems, most can be solved with the first two rules.

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Row 1:

2/3 ○ 1/3 → Same denominator. 2 > 1 → 2/3 > 1/3

3/4 ○ 2/4 → Same denominator. 3 > 2 → 3/4 > 2/4

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Row 2:

2/4 ○ 1/4 → Same denominator. 2 > 1 → 2/4 > 1/4

1/2 ○ 1/3 → Same numerator. Denominator 2 < 3 → So 1/2 is bigger → 1/2 > 1/3

3/6 ○ 5/6 → Same denominator. 3 < 5 → 3/6 < 5/6

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Row 3:

4/8 ○ 5/8 → Same denominator. 4 < 5 → 4/8 < 5/8

1/3 ○ 1/4 → Same numerator. Denominator 3 < 4 → So 1/3 is bigger → 1/3 > 1/4

2/6 ○ 2/5 → Same numerator. Denominator 6 > 5 → So 2/6 is smaller → 2/6 < 2/5

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Row 4:

2/5 ○ 2/10 → Same numerator. Denominator 5 < 10 → So 2/5 is bigger → 2/5 > 2/10

3/7 ○ 3/6 → Same numerator. Denominator 7 > 6 → So 3/7 is smaller → 3/7 < 3/6

1/3 ○ 1/9 → Same numerator. Denominator 3 < 9 → So 1/3 is bigger → 1/3 > 1/9

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Row 5:

2/4 ○ 2/5 → Same numerator. Denominator 4 < 5 → So 2/4 is bigger → 2/4 > 2/5

1/5 ○ 1/4 → Same numerator. Denominator 5 > 4 → So 1/5 is smaller → 1/5 < 1/4

3/6 ○ 3/4 → Same numerator. Denominator 6 > 4 → So 3/6 is smaller → 3/6 < 3/4

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Row 6:

1/9 ○ 1/3 → Same numerator. Denominator 9 > 3 → So 1/9 is smaller → 1/9 < 1/3

6/9 ○ 5/9 → Same denominator. 6 > 5 → 6/9 > 5/9

1/3 ○ 1/2 → Same numerator. Denominator 3 > 2 → So 1/3 is smaller → 1/3 < 1/2

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Row 7:

1/3 ○ 0/3 → Any fraction over 3 vs zero → 1/3 is more than nothing → 1/3 > 0/3

5/4 ○ 5/8 → Same numerator. Denominator 4 < 8 → So 5/4 is bigger → 5/4 > 5/8

2/6 ○ 2/3 → Same numerator. Denominator 6 > 3 → So 2/6 is smaller → 2/6 < 2/3

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Row 8:

1/7 ○ 1/6 → Same numerator. Denominator 7 > 6 → So 1/7 is smaller → 1/7 < 1/6

2/4 ○ 2/3 → Same numerator. Denominator 4 > 3 → So 2/4 is smaller → 2/4 < 2/3

2/4 ○ 2/5 → Same numerator. Denominator 4 < 5 → So 2/4 is bigger → 2/4 > 2/5

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Final Answer:

>
2/3 > 1/3
3/4 > 2/4
2/4 > 1/4
1/2 > 1/3
3/6 < 5/6
4/8 < 5/8
1/3 > 1/4
2/6 < 2/5
2/5 > 2/10
3/7 < 3/6
1/3 > 1/9
2/4 > 2/5
1/5 < 1/4
3/6 < 3/4
1/9 < 1/3
6/9 > 5/9
1/3 < 1/2
1/3 > 0/3
5/4 > 5/8
2/6 < 2/3
1/7 < 1/6
2/4 < 2/3
2/4 > 2/5