Let me work through each fraction comparison step by step.
Problem 1: 3/4 vs 1/4
Same denominator (4). Compare numerators: 3 > 1, so 3/4 > 1/4
Problem 2: 4/7 vs 6/7
Same denominator (7). Compare numerators: 4 < 6, so 4/7 < 6/7
Problem 3: 1/5 vs 1/2
Same numerator (1). When numerators are the same, the larger denominator means a smaller fraction. 5 > 2, so 1/5 < 1/2
Problem 4: 2/3 vs 2/5
Same numerator (2). Larger denominator means smaller fraction. 3 < 5, so 2/3 > 2/5
Problem 5: 6/8 vs 6/7
Same numerator (6). Larger denominator means smaller fraction. 8 > 7, so 6/8 < 6/7
Let me verify these calculations:
1. 3/4 = 0.75, 1/4 = 0.25 → 0.75 > 0.25 ✓
2. 4/7 ≈ 0.571, 6/7 ≈ 0.857 → 0.571 < 0.857 ✓
3. 1/5 = 0.2, 1/2 = 0.5 → 0.2 < 0.5 ✓
4. 2/3 ≈ 0.667, 2/5 = 0.4 → 0.667 > 0.4 ✓
5. 6/8 = 0.75, 6/7 ≈ 0.857 → 0.75 < 0.857 ✓
All answers verified.
Final Answer:
1. 3/4 > 1/4
2. 4/7 < 6/7
3. 1/5 < 1/2
4. 2/3 > 2/5
5. 6/8 < 6/7
Parent Tip: Review the logic above to help your child master the concept of 3rd grade math fractions worksheet.
