Comparing Fractions Worksheets - Math Monks - Free Printable

Let’s go through each problem one by one. 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 → smaller denominator means bigger fraction.
- If both different → find a common denominator or convert to decimals.

We’ll do this carefully for each pair.

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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 is bigger → 5 < 8? No, wait — actually, 4/5 = 0.8, 4/8 = 0.5 → 0.8 > 0.5 → >

Wait — correction: when numerators are same, the fraction with the *smaller* denominator is larger. So 4/5 > 4/8 → yes, >

5) 1/4 vs 1/2
Same numerator → 1/4 = 0.25, 1/2 = 0.5 → 0.25 < 0.5 → <

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 → exactly same → =

10) 2/3 vs 2/4
Same numerator → 2/3 > 2/4 because 3 < 4 → >

Now second column:

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 → 2/5 = 0.4, 2/3 ≈ 0.666 → 0.4 < 0.666 → <

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 → 1/8 = 0.125, 1/2 = 0.5 → 0.125 < 0.5 → <

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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) <