To compare the fractions, we can simplify them or find a common denominator. Let’s go step by step for each pair:
1. 8/20 and 3/6
Simplify: 8/20 = 2/5, 3/6 = 1/2
Compare 2/5 and 1/2 → 2/5 = 0.4, 1/2 = 0.5 → 0.4 < 0.5 → 8/20 < 3/6
2. 1/10 and 1/4
Common denominator: 20 → 1/10 = 2/20, 1/4 = 5/20 → 2/20 < 5/20 → 1/10 < 1/4
3. 1/5 and 5/10
Simplify 5/10 = 1/2 → 1/5 = 0.2, 1/2 = 0.5 → 0.2 < 0.5 → 1/5 < 5/10
4. 5/15 and 7/12
Simplify 5/15 = 1/3 → 1/3 ≈ 0.333, 7/12 ≈ 0.583 → 0.333 < 0.583 → 5/15 < 7/12
5. 2/4 and 10/40
Simplify: 2/4 = 1/2, 10/40 = 1/4 → 1/2 > 1/4 → 2/4 > 10/40
6. 2/6 and 20/50
Simplify: 2/6 = 1/3, 20/50 = 2/5 → 1/3 ≈ 0.333, 2/5 = 0.4 → 0.333 < 0.4 → 2/6 < 20/50
7. 4/5 and 7/10
Common denominator: 10 → 4/5 = 8/10, 7/10 = 7/10 → 8/10 > 7/10 → 4/5 > 7/10
8. 5/12 and 1/2
1/2 = 6/12 → 5/12 < 6/12 → 5/12 < 1/2
9. 4/6 and 42/48
Simplify: 4/6 = 2/3, 42/48 = 7/8 → 2/3 ≈ 0.666, 7/8 = 0.875 → 0.666 < 0.875 → 4/6 < 42/48
10. 3/6 and 2/4
Simplify: both = 1/2 → 3/6 = 2/4
11. 3/9 and 10/50
Simplify: 3/9 = 1/3, 10/50 = 1/5 → 1/3 > 1/5 → 3/9 > 10/50
12. 10/20 and 4/8
Simplify: both = 1/2 → 10/20 = 4/8
13. 5/8 and 2/6
Simplify 2/6 = 1/3 → 5/8 = 0.625, 1/3 ≈ 0.333 → 0.625 > 0.333 → 5/8 > 2/6
14. 5/60 and 16/20
Simplify: 5/60 = 1/12, 16/20 = 4/5 → 1/12 ≈ 0.083, 4/5 = 0.8 → 0.083 < 0.8 → 5/60 < 16/20
15. 6/24 and 2/10
Simplify: 6/24 = 1/4, 2/10 = 1/5 → 1/4 = 0.25, 1/5 = 0.2 → 0.25 > 0.2 → 6/24 > 2/10
16. 20/24 and 3/9
Simplify: 20/24 = 5/6, 3/9 = 1/3 → 5/6 ≈ 0.833, 1/3 ≈ 0.333 → 0.833 > 0.333 → 20/24 > 3/9
17. 18/48 and 10/30
Simplify: 18/48 = 3/8, 10/30 = 1/3 → 3/8 = 0.375, 1/3 ≈ 0.333 → 0.375 > 0.333 → 18/48 > 10/30
18. 2/10 and 1/2
Simplify 2/10 = 1/5 → 1/5 = 0.2, 1/2 = 0.5 → 0.2 < 0.5 → 2/10 < 1/2
Final Answer:
1. <
2. <
3. <
4. <
5. >
6. <
7. >
8. <
9. <
10. =
11. >
12. =
13. >
14. <
15. >
16. >
17. >
18.
Parent Tip: Review the logic above to help your child master the concept of fraction worksheet grade 5.
