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Rules - Fraction Operations - planet12sun.com - Free Printable

Rules - Fraction Operations - planet12sun.com

Educational worksheet: Rules - Fraction Operations - planet12sun.com. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Rules - Fraction Operations - planet12sun.com
Let’s solve each problem step by step. Remember: when adding fractions with the same denominator, you just add the numerators (top numbers) and keep the denominator (bottom number) the same.

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First column:

1. 1/5 + 2/5 = (1+2)/5 = 3/5

2. 2/5 + 2/5 = (2+2)/5 = 4/5

3. 1/8 + 6/8 = (1+6)/8 = 7/8

4. 4/6 + 1/6 = (4+1)/6 = 5/6

5. 4/8 + 3/8 = (4+3)/8 = 7/8

6. 2/4 + 1/4 = (2+1)/4 = 3/4

7. 3/7 + 3/7 = (3+3)/7 = 6/7

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Second column:

8. 3/6 + 2/6 = (3+2)/6 = 5/6

9. 3/10 + 4/10 = (3+4)/10 = 7/10

10. 1/7 + 1/7 = (1+1)/7 = 2/7

11. 7/9 + 1/9 = (7+1)/9 = 8/9

12. 1/12 + 4/12 = (1+4)/12 = 5/12

13. 1/5 + 3/5 = (1+3)/5 = 4/5

14. 4/12 + 3/12 = (4+3)/12 = 7/12

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Third column (fill in the blank):

We need to find what goes in the blank so that when added to the given fraction, it equals the result.

15. 2/3 + ___ = 5/3 → Subtract 2 from 5 → 5 - 2 = 3 → So, 3/3

Check: 2/3 + 3/3 = 5/3

16. 1/1 + ___ = 6/1 → 6 - 1 = 5 → So, 5/1

Check: 1/1 + 5/1 = 6/1

17. 1/8 + ___ = 6/8 → 6 - 1 = 5 → So, 5/8

Check: 1/8 + 5/8 = 6/8

18. ___ + 1/9 = 2/9 → 2 - 1 = 1 → So, 1/9

Check: 1/9 + 1/9 = 2/9

19. ___ + 5/2 = 10/2 → 10 - 5 = 5 → So, 5/2

Check: 5/2 + 5/2 = 10/2

20. 7/10 + ___ = 8/10 → 8 - 7 = 1 → So, 1/10

Check: 7/10 + 1/10 = 8/10

21. ___ + 5/2 = 10/2 → Same as #19 → 5/2

Check: 5/2 + 5/2 = 10/2

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Final Answer:

Column 1:
3/5
4/5
7/8
5/6
7/8
3/4
6/7

Column 2:
5/6
7/10
2/7
8/9
5/12
4/5
7/12

Column 3 (blanks filled):
3/3
5/1
5/8
1/9
5/2
1/10
5/2
Parent Tip: Review the logic above to help your child master the concept of fraction operations worksheet.
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