You're working on a worksheet that teaches
comparing fractions with the same numerators. The key concept here is:
>
When two fractions have the same numerator, the fraction with the *smaller denominator* is the *larger* fraction.
Why? Because the denominator tells you how many equal parts the whole is divided into. A smaller denominator means each part is *larger*, so if you take the same number of parts (same numerator), the fraction with the smaller denominator represents a bigger amount.
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Let’s solve each problem one by one:
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1) ½ ○ ⅓
- Numerator is 1 in both.
- Denominators: 2 vs 3 → 2 < 3 → so ½ > ⅓
✔ Answer: >
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2) ⁵⁄₉ ○ ⁵⁄₆
- Numerator is 5 in both.
- Denominators: 9 vs 6 → 9 > 6 → so ⁵⁄₉ < ⁵⁄₆
✔ Answer: <
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3) ⁷⁄₉ ○ ⁷⁄₂
- Numerator is 7 in both.
- Denominators: 9 vs 2 → 9 > 2 → so ⁷⁄₉ < ⁷⁄₂
✔ Answer: <
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4) ⁴⁄₅ ○ ⁴⁄₅
- Identical fractions!
✔ Answer: =
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5) ²⁄₃ ○ ²⁄₈
- Numerator is 2 in both.
- Denominators: 3 vs 8 → 3 < 8 → so ²⁄₃ > ²⁄₈
✔ Answer: >
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6) ⁶⁄₈ ○ ⁶⁄₉
- Numerator is 6 in both.
- Denominators: 8 vs 9 → 8 < 9 → so ⁶⁄₈ > ⁶⁄₉
✔ Answer: >
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7) ⁹⁄₁₀ ○ ⁹⁄₁₀
- Identical fractions!
✔ Answer: =
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8) ¹⁄₉ ○ ¹⁄₂
- Numerator is 1 in both.
- Denominators: 9 vs 2 → 9 > 2 → so ¹⁄₉ < ¹⁄₂
✔ Answer: <
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9) ⁴⁄₅ ○ ⁴⁄₇
- Numerator is 4 in both.
- Denominators: 5 vs 7 → 5 < 7 → so ⁴⁄₅ > ⁴⁄₇
✔ Answer: >
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10) ¹⁄₇ ○ ¹⁄₁₀
- Numerator is 1 in both.
- Denominators: 7 vs 10 → 7 < 10 → so ¹⁄₇ > ¹⁄₁₀
✔ Answer: >
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✔ Final Answers:
1)
>
2)
<
3)
<
4)
=
5)
>
6)
>
7)
=
8)
<
9)
>
10)
>
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💡 Quick Tip for Remembering:
Think: “Same top? Bigger bottom = smaller piece.”
So,
bigger denominator → smaller fraction when numerators are equal.
Great job practicing this important skill! 🎯
Parent Tip: Review the logic above to help your child master the concept of comparing fractions with unlike denominators.
