Let’s go through each problem one by one. We’re comparing two fractions and need to put >, <, or = in the box between them.
Remember:
- If the denominators are the same, just compare the numerators. Bigger numerator = bigger fraction.
- If the numerators are the same, the fraction with the smaller denominator is bigger (because you’re splitting into fewer pieces).
- If both are different, we can cross-multiply or find a common denominator — but for these problems, many are easy to compare directly!
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1) 1/2 vs 1/3 → Same numerator (1), so smaller denominator wins → 1/2 > 1/3
2) 1/5 vs 1/4 → Same numerator → 1/5 < 1/4
3) 1/3 vs 1/10 → Same numerator → 1/3 > 1/10
4) 2/4 vs 1/2 → 2/4 simplifies to 1/2 → so 2/4 = 1/2
5) 2/5 vs 1/5 → Same denominator → 2 > 1 → 2/5 > 1/5
6) 2/9 vs 5/9 → Same denominator → 2 < 5 → 2/9 < 5/9
7) 3/10 vs 3/10 → Exactly the same → 3/10 = 3/10
8) 1/2 vs 1/5 → Same numerator → 1/2 > 1/5
9) 2/7 vs 2/5 → Same numerator → smaller denominator wins → 2/7 < 2/5
10) 5/10 vs 1/2 → 5/10 = 1/2 → so equal
11) 4/9 vs 2/9 → Same denominator → 4 > 2 → 4/9 > 2/9
12) 1/4 vs 3/4 → Same denominator → 1 < 3 → 1/4 < 3/4
Now the second column:
13) 1/9 vs 1/8 → Same numerator → 1/9 < 1/8
14) 4/10 vs 7/10 → Same denominator → 4 < 7 → 4/10 < 7/10
15) 4/8 vs 1/2 → 4/8 = 1/2 → equal
16) 2/5 vs 2/9 → Same numerator → 2/5 > 2/9 (smaller denominator)
17) 1/10 vs 1/4 → Same numerator → 1/10 < 1/4
18) 3/8 vs 5/8 → Same denominator → 3 < 5 → 3/8 < 5/8
19) 2/4 vs 3/6 → 2/4 = 1/2, 3/6 = 1/2 → equal
20) 2/3 vs 2/5 → Same numerator → 2/3 > 2/5
21) 7/10 vs 9/10 → Same denominator → 7 < 9 → 7/10 < 9/10
22) 4/7 vs 4/5 → Same numerator → 4/7 < 4/5
23) 8/9 vs 5/9 → Same denominator → 8 > 5 → 8/9 > 5/9
24) 1/8 vs 1/6 → Same numerator → 1/8 < 1/6
Double-checking tricky ones:
- #4: 2/4 = 1/2 ✔️
- #10: 5/10 = 1/2 ✔️
- #15: 4/8 = 1/2 ✔️
- #19: 2/4 = 1/2, 3/6 = 1/2 ✔️
All look good!
Final Answer:
1) >
2) <
3) >
4) =
5) >
6) <
7) =
8) >
9) <
10) =
11) >
12) <
13) <
14) <
15) =
16) >
17) <
18) <
19) =
20) >
21) <
22) <
23) >
24) <
Parent Tip: Review the logic above to help your child master the concept of compare fraction worksheet.