Let’s go through each problem one by one. We’ll compare the two fractions and decide if the first is greater than (>), less than (<), or equal to (=) the second.
We can do this by:
- Making common denominators (if needed)
- Or thinking about what the fractions mean (like, which piece is bigger?)
---
1) 3/4 vs 1/2
→ 3/4 = 0.75, 1/2 = 0.5 → 3/4 > 1/2
✔ >
2) 1/2 vs 1/2
→ Same fraction → Equal
✔ =
3) 1/4 vs 1/3
→ Think: If you split a pizza into 4 pieces, each is smaller than splitting into 3. So 1/4 < 1/3
✔ <
4) 2/3 vs 2/4
→ 2/4 simplifies to 1/2. 2/3 ≈ 0.66, 1/2 = 0.5 → 2/3 > 2/4
✔ >
5) 1/4 vs 1/2
→ Again, 1/4 is smaller than 1/2
✔ <
6) 1/4 vs 2/3
→ 1/4 = 0.25, 2/3 ≈ 0.66 → 1/4 < 2/3
✔ <
7) 3/4 vs 2/3
→ Convert to twelfths: 3/4 = 9/12, 2/3 = 8/12 → 9/12 > 8/12
✔ >
8) 1/3 vs 1/3
→ Same → Equal
✔ =
9) 1/3 vs 3/4
→ 1/3 ≈ 0.33, 3/4 = 0.75 → 1/3 < 3/4
✔ <
10) 2/3 vs 2/3
→ Same → Equal
✔ =
11) 2/3 vs 1/2
→ 2/3 ≈ 0.66, 1/2 = 0.5 → 2/3 > 1/2
✔ >
12) 1/2 vs 1/2
→ Same → Equal
✔ =
13) 1/4 vs 2/4
→ 2/4 = 1/2 → 1/4 < 1/2
✔ <
14) 1/3 vs 1/2
→ 1/3 ≈ 0.33, 1/2 = 0.5 → 1/3 < 1/2
✔ <
15) 2/3 vs 2/3
→ Same → Equal
✔ =
16) 1/4 vs 3/4
→ Clearly, 1 part out of 4 is less than 3 parts out of 4
✔ <
17) 1/4 vs 2/4
→ 2/4 = 1/2 → 1/4 < 1/2
✔ <
18) 1/2 vs 1/2
→ Same → Equal
✔ =
19) 2/3 vs 1/3
→ 2 parts > 1 part when denominator same
✔ >
20) 1/2 vs 1/4
→ Half is bigger than a quarter
✔ >
---
Final Answer:
1) >
2) =
3) <
4) >
5) <
6) <
7) >
8) =
9) <
10) =
11) >
12) =
13) <
14) <
15) =
16) <
17) <
18) =
19) >
20) >
Parent Tip: Review the logic above to help your child master the concept of fraction comparison worksheet.
