Let’s go through each problem one by one. Remember: when fractions have the
same numerator, the fraction with the
smaller denominator is actually
bigger — because you’re splitting the same amount into fewer pieces, so each piece is larger!
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1) ½ vs ⅓
Same numerator (1). Denominators: 2 and 3 → 2 < 3 → so ½ > ⅓
✔ Answer:
>
2) ⁵₉ vs ⁄₆
Same numerator (5). Denominators: 9 and 6 → 9 > 6 → so ⁵⁄₉ < ⁄₆
✔ Answer:
<
3) ⁷⁄₉ vs ⁷⁄₂
Same numerator (7). Denominators: 9 and 2 → 9 > 2 → so ⁷⁄₉ < ⁷⁄₂
✔ Answer:
<
4) ⁴⁄₅ vs ⁴⁄₅
Exactly the same! So they are equal.
✔ Answer:
=
5) ²⁄₃ vs ²⁄₈
Same numerator (2). Denominators: 3 and 8 → 3 < 8 → so ²⁄₃ > ²⁄₈
✔ Answer:
>
6) ⁶⁄₈ vs ⁶⁄₉
Same numerator (6). Denominators: 8 and 9 → 8 < 9 → so ⁶⁄₈ > ⁶⁄₉
✔ Answer:
>
7) ⁹⁄₁₀ vs ⁹⁄₁₀
Same fraction → equal
✔ Answer:
=
8) ¹⁄₉ vs ¹⁄₂
Same numerator (1). Denominators: 9 and 2 → 9 > 2 → so ¹⁄₉ < ¹⁄₂
✔ Answer:
<
9) ⁴⁄ vs ⁴⁄
Same numerator (4). Denominators: 5 and 7 → 5 < 7 → so ⁴⁄₅ > ⁴⁄₇
✔ Answer:
>
10) ¹⁄₇ vs ¹⁄₁₀
Same numerator (1). Denominators: 7 and 10 → 7 < 10 → so ¹⁄₇ > ¹⁄₁₀
✔ Answer:
>
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Final Answer:
1) >
2) <
3) <
4) =
5) >
6) >
7) =
8) <
9) >
10) >
Parent Tip: Review the logic above to help your child master the concept of comparing fractions with the same numerator worksheet.
