Greater Than or Less Than? Comparing Fractions | Worksheet ... - Free Printable

Let’s go through each pair of fractions one by one. We’ll follow the directions:

1. Multiply or divide to find a common denominator.
2. Compare the numerators.
3. Write >, <, or = in the circle.

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Row 1:

1. 3/4 vs 1/4
→ Same denominator! Compare numerators: 3 > 1 → >

2. 5/7 vs 6/7
→ Same denominator! 5 < 6 → <

3. 2/10 vs 8/10
→ Same denominator! 2 < 8 → <

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Row 2:

4. 2/6 vs 2/3
→ Convert 2/3 to sixths: 2/3 = 4/6
Now compare 2/6 and 4/6 → 2 < 4 → <

5. 1/2 vs 5/8
→ Common denominator: 8
1/2 = 4/8 → 4 < 5 → <

6. 5/18 vs 1/3
→ Convert 1/3 to eighteenths: 1/3 = 6/18
5 < 6 → <

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Row 3:

7. 4/5 vs 22/25
→ Convert 4/5 to twenty-fifths: 4/5 = 20/25
20 < 22 → <

8. 5/42 vs 33/42
→ Same denominator! 5 < 33 → <

9. 80/100 vs 4/5
→ Convert 4/5 to hundredths: 4/5 = 80/100
80 = 80 → =

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Row 4:

10. 15/21 vs 4/7
→ Convert 4/7 to twenty-firsts: 4/7 = 12/21
15 > 12 → >

11. 4/16 vs 12/24
→ Simplify both:
4/16 = 1/4
12/24 = 1/2
1/4 < 1/2 → <

12. 36/81 vs 18/27
→ Simplify both:
36/81 = 4/9 (divide by 9)
18/27 = 2/3 = 6/9
4/9 < 6/9 → <

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Row 5:

13. 21/35 vs 16/40
→ Simplify both:
21/35 = 3/5 (divide by 7)
16/40 = 2/5 (divide by 8)
3/5 > 2/5 → >

14. 28/49 vs 18/21
→ Simplify:
28/49 = 4/7 (divide by 7)
18/21 = 6/7 (divide by 3)
4/7 < 6/7 → <

15. 60/144 vs 12/24
→ Simplify:
60/144 = 5/12 (divide by 12)
12/24 = 1/2 = 6/12
5/12 < 6/12 → <

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Row 6:

16. 2/5 vs 4/7
→ Common denominator: 35
2/5 = 14/35
4/7 = 20/35
14 < 20 → <

17. 5/9 vs 3/4
→ Common denominator: 36
5/9 = 20/36
3/4 = 27/36
20 < 27 → <

18. 4/6 vs 7/8
→ Simplify 4/6 = 2/3
Common denominator with 7/8: 24
2/3 = 16/24
7/8 = 21/24
16 < 21 → <

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Row 7:

19. 9/13 vs 5/8
→ Common denominator: 104
9/13 = 72/104
5/8 = 65/104
72 > 65 → >

20. 10/11 vs 6/9
→ Simplify 6/9 = 2/3
Common denominator: 33
10/11 = 30/33
2/3 = 22/33
30 > 22 → >

21. 7/11 vs 2/4
→ Simplify 2/4 = 1/2
Common denominator: 22
7/11 = 14/22
1/2 = 11/22
14 > 11 → >

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Row 8:

22. 25/10 vs 28/10
→ Same denominator! 25 < 28 → <

23. 46/46 vs 14/4
→ 46/46 = 1
14/4 = 3.5 → 1 < 3.5 → <

24. 57/57 vs 62/9
→ 57/57 = 1
62/9 ≈ 6.89 → 1 < 6.89 → <

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Final Answer:
> < <
< < <
< < =
> < <
> < <
< < <
> > >
< <