Let’s solve each problem step by step. We’re comparing two fractions and need to put the correct symbol: > (greater than), < (less than), or = (equal to).
To compare fractions, we can:
- If denominators are the same → compare numerators.
- If numerators are the same → the fraction with the smaller denominator is bigger.
- If both are different → find a common denominator or convert to decimals.
We’ll go one by one.
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1) 1/3 vs 7/8
Convert to decimals:
1 ÷ 3 ≈ 0.333
7 ÷ 8 = 0.875
→ 0.333 < 0.875 →
<
2) 1/6 vs 3/4
1 ÷ 6 ≈ 0.166
3 ÷ 4 = 0.75
→ 0.166 < 0.75 →
<
3) 3/8 vs 2/4
2/4 = 1/2 = 0.5
3/8 = 0.375
→ 0.375 < 0.5 →
<
4) 4/5 vs 4/8
Same numerator → smaller denominator means bigger fraction.
5 < 8 → so 4/5 > 4/8 →
>
5) 1/4 vs 1/2
Same numerator → 4 > 2 → so 1/4 < 1/2 →
<
6) 1/6 vs 4/5
1 ÷ 6 ≈ 0.166
4 ÷ 5 = 0.8
→ 0.166 < 0.8 →
<
7) 1/2 vs 2/6
2/6 = 1/3 ≈ 0.333
1/2 = 0.5
→ 0.5 > 0.333 →
>
8) 3/4 vs 2/6
2/6 = 1/3 ≈ 0.333
3/4 = 0.75
→ 0.75 > 0.333 →
>
9) 1/3 vs 1/3
Same →
=
10) 2/3 vs 2/4
Same numerator → 3 < 4 → so 2/3 > 2/4 →
>
11) 1/8 vs 3/4
1 ÷ 8 = 0.125
3 ÷ 4 = 0.75
→ 0.125 < 0.75 →
<
12) 2/4 vs 1/3
2/4 = 1/2 = 0.5
1/3 ≈ 0.333
→ 0.5 > 0.333 →
>
13) 1/6 vs 3/5
1 ÷ 6 ≈ 0.166
3 ÷ 5 = 0.6
→ 0.166 < 0.6 →
<
14) 5/8 vs 4/8
Same denominator → 5 > 4 →
>
15) 1/3 vs 2/3
Same denominator → 1 < 2 →
<
16) 3/5 vs 1/2
3 ÷ 5 = 0.6
1 ÷ 2 = 0.5
→ 0.6 > 0.5 →
>
17) 2/5 vs 2/3
Same numerator → 5 > 3 → so 2/5 < 2/3 →
<
18) 1/2 vs 5/6
1/2 = 0.5
5/6 ≈ 0.833
→ 0.5 < 0.833 →
<
19) 1/6 vs 2/5
1 ÷ 6 ≈ 0.166
2 ÷ 5 = 0.4
→ 0.166 < 0.4 →
<
20) 1/8 vs 1/2
Same numerator → 8 > 2 → so 1/8 < 1/2 →
<
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Final Answer:
1) <
2) <
3) <
4) >
5) <
6) <
7) >
8) >
9) =
10) >
11) <
12) >
13) <
14) >
15) <
16) >
17) <
18) <
19) <
20) <
Parent Tip: Review the logic above to help your child master the concept of comparing fraction worksheet.