Let’s solve each fraction comparison step by step. We’ll use two simple rules:
1.
If denominators are the same → compare numerators. Bigger numerator = bigger fraction.
2.
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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Problem 1:
6/7 vs 2/7 → Same denominator (7). 6 > 2 → So 6/7 > 2/7
Problem 2:
1/3 vs 1/10 → Same numerator (1). 3 < 10 → So 1/3 > 1/10
Problem 3:
8/12 vs 1/12 → Same denominator (12). 8 > 1 → So 8/12 > 1/12
Problem 4:
1/4 vs 1/7 → Same numerator (1). 4 < 7 → So 1/4 > 1/7
Problem 5:
2/6 vs 2/8 → Same numerator (2). 6 < 8 → So 2/6 > 2/8
Problem 6:
4/6 vs 3/6 → Same denominator (6). 4 > 3 → So 4/6 > 3/6
Problem 7:
5/7 vs 2/7 → Same denominator (7). 5 > 2 → So 5/7 > 2/7
Problem 8:
3/6 vs 3/8 → Same numerator (3). 6 < 8 → So 3/6 > 3/8
Problem 9:
3/5 vs 2/5 → Same denominator (5). 3 > 2 → So 3/5 > 2/5
Problem 10:
1/8 vs 1/5 → Same numerator (1). 8 > 5 → So 1/8 < 1/5
Problem 11:
1/3 vs 1/4 → Same numerator (1). 3 < 4 → So 1/3 > 1/4
Problem 12:
2/3 vs 1/3 → Same denominator (3). 2 > 1 → So 2/3 > 1/3
Problem 13:
2/8 vs 2/5 → Same numerator (2). 8 > 5 → So 2/8 < 2/5
Problem 14:
2/4 vs 3/4 → Same denominator (4). 2 < 3 → So 2/4 < 3/4
Problem 15:
1/9 vs 1/4 → Same numerator (1). 9 > 4 → So 1/9 < 1/4
Problem 16:
7/11 vs 10/11 → Same denominator (11). 7 < 10 → So 7/11 < 10/11
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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 equivalent fractions worksheet 3rd grade common core.
