Let’s solve each fraction comparison step by step.
We are comparing fractions using > (greater than) or < (less than).
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Rule 1: When denominators are the same, compare numerators.
Bigger numerator = bigger fraction.
Rule 2: When numerators are the same, compare denominators.
Smaller denominator = bigger fraction (because you’re dividing into fewer parts, so each part is larger).
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Now let’s go one by one:
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1) 6/7 □ 2/7
Same denominator → compare numerators: 6 > 2 →
>
2) 1/3 □ 1/10
Same numerator → smaller denominator means bigger fraction: 3 < 10 → 1/3 > 1/10 →
>
3) 8/12 □ 1/12
Same denominator → 8 > 1 →
>
4) 1/4 □ 1/7
Same numerator → 4 < 7 → 1/4 > 1/7 →
>
5) 2/6 □ 2/8
Same numerator → 6 < 8 → 2/6 > 2/8 →
>
6) 4/6 □ 3/6
Same denominator → 4 > 3 →
>
7) 5/7 □ 2/7
Same denominator → 5 > 2 →
>
8) 3/6 □ 3/8
Same numerator → 6 < 8 → 3/6 > 3/8 →
>
9) 3/5 □ 2/5
Same denominator → 3 > 2 →
>
10) 1/8 □ 1/5
Same numerator → 8 > 5 → so 1/8 < 1/5 →
<
11) 1/3 □ 1/4
Same numerator → 3 < 4 → 1/3 > 1/4 →
>
12) 2/3 □ 1/3
Same denominator → 2 > 1 →
>
13) 2/8 □ 2/5
Same numerator → 8 > 5 → so 2/8 < 2/5 →
<
14) 2/4 □ 3/4
Same denominator → 2 < 3 →
<
15) 1/9 □ 1/4
Same numerator → 9 > 4 → so 1/9 < 1/4 →
<
16) 7/11 □ 10/11
Same denominator → 7 < 10 →
<
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Now fill in the blanks at the bottom:
> When the denominators are the same, the fraction with the
larger numerator is the largest fraction.
> When the numerators are the same, the fraction with the
smaller denominator is the largest fraction.
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Final Answer:
1) >
2) >
3) >
4) >
5) >
6) >
7) >
8) >
9) >
10) <
11) >
12) >
13) <
14) <
15) <
16) <
When the denominators are the same, the fraction with the
larger numerator is the largest fraction.
When the numerators are the same, the fraction with the
smaller denominator is the largest fraction.
Parent Tip: Review the logic above to help your child master the concept of worksheet numerator and denominator.