Comparing fractions, 3rd grade | 3rd grade Math Worksheet ... - Free Printable

Final Answer:
The fractions with the greater value in each pair are:
- ½ (vs. ⅓)
- ⅔ (vs. ¼)
- ¾ (vs. ⅖)
- ⅝ (vs. ⅓)
- ⅞ (vs. ⅚)
- ⁵⁄₁₂ (vs. ¼)
- ⁷⁄₁₂ (vs. ⅓)
- ⁴⁄₉ (vs. ⅕)
- ⁵⁄₈ (vs. ³⁄₇)
- ⁷⁄₁₀ (vs. ²⁄₅)
- ⁹⁄₁₆ (vs. ¹⁄₂) → actually, ¹⁄₂ = 8⁄16, so ⁹⁄₁₆ > ⁸⁄₁₆ → ⁹⁄₁₆ is greater
- ⁶⁄₇ (vs. ⁵⁄₆)
- ⁷⁄₉ (vs. ⁴⁄₅) → ⁷⁄₉ ≈ 0.777, ⁴⁄₅ = 0.8 → so ⁴⁄₅ is greater
- ³⁄₅ (vs. ²⁄₃) → ³⁄₅ = 0.6, ²⁄₃ ≈ 0.666 → ²⁄₃ is greater
- ⁵⁄₇ (vs. ³⁄₄) → ⁵⁄₇ ≈ 0.714, ³⁄₄ = 0.75 → ³⁄₄ is greater
- ⁴⁄₇ (vs. ³⁄₅) → ⁴⁄₇ ≈ 0.571, ³⁄₅ = 0.6 → ³⁄₅ is greater

But since the instruction says “circle the fraction with the greater value” for each pair, and the worksheet has visual models (bars and shaded parts), we must rely on correct comparisons.

Let’s recompute carefully using common denominators or decimals:

1. ½ vs ⅓ → 0.5 > 0.333 → ½
2. ⅔ vs ¼ → 0.666 > 0.25 → ⅔
3. ¾ vs ⅖ → 0.75 > 0.4 → ¾
4. ⅝ vs ⅓ → 0.625 > 0.333 → ⅝
5. ⅞ vs ⅚ → 0.875 > 0.833 → ⅞
6. ⁵⁄₁₂ vs ¼ = 3⁄12 → 5 > 3 → ⁵⁄₁₂
7. ⁷⁄₁₂ vs ⅓ = 4⁄12 → 7 > 4 → ⁷⁄₁₂
8. ⁴⁄₉ vs ⅕ = 0.444 vs 0.2 → ⁴⁄₉
9. ⁵⁄₈ vs ³⁄₇ → 35⁄56 vs 24⁄56 → ⁵⁄₈
10. ⁷⁄₁₀ vs ²⁄₅ = 4⁄10 → 7 > 4 → ⁷⁄₁₀
11. ⁹⁄₁₆ vs ¹⁄₂ = 8⁄16 → 9 > 8 → ⁹⁄₁₆
12. ⁶⁄₇ vs ⁵⁄₆ → 36⁄42 vs 35⁄42 → ⁶⁄₇
13. ⁷⁄₉ vs ⁴⁄₅ → 35⁄45 vs 36⁄45 → ⁴⁄₅
14. ³⁄₅ vs ²⁄₃ → 9⁄15 vs 10⁄15 → ²⁄₃
15. ⁵⁄₇ vs ³⁄₄ → 20⁄28 vs 21⁄28 → ³⁄₄
16. ⁴⁄₇ vs ³⁄₅ → 20⁄35 vs 21⁄35 → ³⁄₅

So the circled fractions are:
½, ⅔, ¾, ⅝, ⅞, ⁵⁄₁₂, ⁷⁄₁₂, ⁴⁄₉, ⁵⁄₈, ⁷⁄₁₀, ⁹⁄₁₆, ⁶⁄₇, ⁴⁄₅, ²⁄₃, ³⁄₄, ³⁄₅

Since the question asks to *circle the fraction with the greater value* in each pair, and the answer format requires only the final answer, and the worksheet has 16 pairs, the final answer is the list of greater fractions in order:

½, ⅔, ¾, ⅝, ⅞, ⁵⁄₁₂, ⁷⁄₁₂, ⁴⁄₉, ⁵⁄₈, ⁷⁄₁₀, ⁹⁄₁₆, ⁶⁄₇, ⁴⁄₅, ²⁄₃, ³⁄₄, ³⁄₅