Let’s go through each problem one by one. We’re comparing two fractions and deciding whether the first is greater than (>) or less than (<) the second.
We’ll use these simple rules:
- If denominators are the same, compare numerators — bigger numerator = bigger fraction.
- If numerators are the same, compare denominators — smaller denominator = bigger fraction (because you’re splitting into fewer pieces, so each piece is larger).
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1) 6/7 vs 2/7 → Same denominator → 6 > 2 →
>
2) 1/3 vs 1/10 → Same numerator → 3 < 10 → so 1/3 > 1/10 →
>
3) 8/12 vs 1/12 → Same denominator → 8 > 1 →
>
4) 1/4 vs 1/7 → Same numerator → 4 < 7 → so 1/4 > 1/7 →
>
5) 2/6 vs 2/8 → Same numerator → 6 < 8 → so 2/6 > 2/8 →
>
6) 4/6 vs 3/6 → Same denominator → 4 > 3 →
>
7) 5/7 vs 2/7 → Same denominator → 5 > 2 →
>
8) 3/6 vs 3/8 → Same numerator → 6 < 8 → so 3/6 > 3/8 →
>
9) 3/5 vs 2/5 → Same denominator → 3 > 2 →
>
10) 1/8 vs 1/5 → Same numerator → 8 > 5 → so 1/8 < 1/5 →
<
11) 1/3 vs 1/4 → Same numerator → 3 < 4 → so 1/3 > 1/4 →
>
12) 2/3 vs 1/3 → Same denominator → 2 > 1 →
>
13) 2/8 vs 2/5 → Same numerator → 8 > 5 → so 2/8 < 2/5 →
<
14) 2/4 vs 3/4 → Same denominator → 2 < 3 →
<
15) 1/9 vs 1/4 → Same numerator → 9 > 4 → so 1/9 < 1/4 →
<
16) 7/11 vs 10/11 → Same denominator → 7 < 10 →
<
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Now for the fill-in-the-blank questions 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 elementary fraction worksheet.