Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

Let's solve each of the subtraction problems involving fractions and simplify them to their lowest terms. We'll go step by step.

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Rules for Subtracting Fractions:

1. If denominators are the same, subtract numerators directly.
2. If denominators are different, find the least common denominator (LCD), convert both fractions, then subtract.
3. Simplify the result to lowest terms.

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We'll solve each problem:

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Column 1

1. $ \frac{5}{8} - \frac{1}{2} $
LCD of 8 and 2 is 8.
$ \frac{1}{2} = \frac{4}{8} $
$ \frac{5}{8} - \frac{4}{8} = \frac{1}{8} $

2. $ \frac{6}{6} - \frac{1}{3} $
$ \frac{6}{6} = 1 $, $ \frac{1}{3} $
$ 1 - \frac{1}{3} = \frac{2}{3} $

3. $ \frac{3}{3} - \frac{1}{6} $
$ \frac{3}{3} = 1 $, $ 1 - \frac{1}{6} = \frac{5}{6} $

4. $ \frac{2}{4} - \frac{2}{8} $
Simplify: $ \frac{2}{4} = \frac{1}{2} $, $ \frac{2}{8} = \frac{1}{4} $
LCD = 4: $ \frac{1}{2} = \frac{2}{4} $, $ \frac{2}{4} - \frac{1}{4} = \frac{1}{4} $

5. $ \frac{1}{2} - \frac{1}{6} $
LCD = 6: $ \frac{1}{2} = \frac{3}{6} $, $ \frac{3}{6} - \frac{1}{6} = \frac{2}{6} = \frac{1}{3} $

6. $ \frac{4}{5} - \frac{1}{10} $
LCD = 10: $ \frac{4}{5} = \frac{8}{10} $, $ \frac{8}{10} - \frac{1}{10} = \frac{7}{10} $

7. $ \frac{3}{5} - \frac{4}{10} $
$ \frac{4}{10} = \frac{2}{5} $, so $ \frac{3}{5} - \frac{2}{5} = \frac{1}{5} $

8. $ \frac{3}{3} - \frac{2}{6} $
$ \frac{3}{3} = 1 $, $ \frac{2}{6} = \frac{1}{3} $, $ 1 - \frac{1}{3} = \frac{2}{3} $

9. $ \frac{4}{6} - \frac{1}{3} $
$ \frac{4}{6} = \frac{2}{3} $, $ \frac{2}{3} - \frac{1}{3} = \frac{1}{3} $

10. $ \frac{2}{3} - \frac{1}{6} $
LCD = 6: $ \frac{2}{3} = \frac{4}{6} $, $ \frac{4}{6} - \frac{1}{6} = \frac{3}{6} = \frac{1}{2} $

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Column 2

11. $ \frac{4}{3} - \frac{6}{6} $
$ \frac{6}{6} = 1 $, $ \frac{4}{3} = 1\frac{1}{3} $, so $ 1\frac{1}{3} - 1 = \frac{1}{3} $

12. $ \frac{4}{6} - \frac{1}{2} $
$ \frac{4}{6} = \frac{2}{3} $, $ \frac{1}{2} $
LCD = 6: $ \frac{2}{3} = \frac{4}{6} $, $ \frac{1}{2} = \frac{3}{6} $, $ \frac{4}{6} - \frac{3}{6} = \frac{1}{6} $

13. $ \frac{4}{8} - \frac{1}{4} $
$ \frac{4}{8} = \frac{1}{2} $, $ \frac{1}{4} $
LCD = 4: $ \frac{1}{2} = \frac{2}{4} $, $ \frac{2}{4} - \frac{1}{4} = \frac{1}{4} $

14. $ \frac{3}{4} - \frac{1}{8} $
LCD = 8: $ \frac{3}{4} = \frac{6}{8} $, $ \frac{6}{8} - \frac{1}{8} = \frac{5}{8} $

15. $ \frac{1}{4} - \frac{1}{8} $
LCD = 8: $ \frac{1}{4} = \frac{2}{8} $, $ \frac{2}{8} - \frac{1}{8} = \frac{1}{8} $

16. $ \frac{5}{6} - \frac{1}{6} = \frac{4}{6} = \frac{2}{3} $

17. $ \frac{6}{9} - \frac{1}{3} $
$ \frac{6}{9} = \frac{2}{3} $, $ \frac{2}{3} - \frac{1}{3} = \frac{1}{3} $

18. $ \frac{4}{3} - \frac{4}{6} $
$ \frac{4}{6} = \frac{2}{3} $, $ \frac{4}{3} - \frac{2}{3} = \frac{2}{3} $

19. $ \frac{5}{8} - \frac{2}{4} $
$ \frac{2}{4} = \frac{1}{2} $, LCD = 8: $ \frac{1}{2} = \frac{4}{8} $, $ \frac{5}{8} - \frac{4}{8} = \frac{1}{8} $

20. $ \frac{1}{2} - \frac{1}{4} $
LCD = 4: $ \frac{1}{2} = \frac{2}{4} $, $ \frac{2}{4} - \frac{1}{4} = \frac{1}{4} $

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Column 3

21. $ \frac{9}{6} - \frac{2}{3} $
$ \frac{9}{6} = \frac{3}{2} $, $ \frac{2}{3} $
LCD = 6: $ \frac{3}{2} = \frac{9}{6} $, $ \frac{2}{3} = \frac{4}{6} $, $ \frac{9}{6} - \frac{4}{6} = \frac{5}{6} $

22. $ \frac{1}{3} - \frac{1}{6} $
LCD = 6: $ \frac{1}{3} = \frac{2}{6} $, $ \frac{2}{6} - \frac{1}{6} = \frac{1}{6} $

23. $ \frac{1}{2} - \frac{1}{8} $
LCD = 8: $ \frac{1}{2} = \frac{4}{8} $, $ \frac{4}{8} - \frac{1}{8} = \frac{3}{8} $

24. $ \frac{3}{6} - \frac{1}{3} $
$ \frac{3}{6} = \frac{1}{2} $, $ \frac{1}{3} $
LCD = 6: $ \frac{1}{2} = \frac{3}{6} $, $ \frac{1}{3} = \frac{2}{6} $, $ \frac{3}{6} - \frac{2}{6} = \frac{1}{6} $

25. $ \frac{5}{6} - \frac{1}{6} = \frac{4}{6} = \frac{2}{3} $

26. $ \frac{3}{4} - \frac{1}{2} $
LCD = 4: $ \frac{1}{2} = \frac{2}{4} $, $ \frac{3}{4} - \frac{2}{4} = \frac{1}{4} $

27. $ \frac{4}{5} - \frac{2}{10} $
$ \frac{2}{10} = \frac{1}{5} $, $ \frac{4}{5} - \frac{1}{5} = \frac{3}{5} $

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✔ Final Answers in Lowest Terms:

| Problem | Answer |
|--------|--------|
| 1. $ \frac{5}{8} - \frac{1}{2} $ | $ \frac{1}{8} $ |
| 2. $ \frac{6}{6} - \frac{1}{3} $ | $ \frac{2}{3} $ |
| 3. $ \frac{3}{3} - \frac{1}{6} $ | $ \frac{5}{6} $ |
| 4. $ \frac{2}{4} - \frac{2}{8} $ | $ \frac{1}{4} $ |
| 5. $ \frac{1}{2} - \frac{1}{6} $ | $ \frac{1}{3} $ |
| 6. $ \frac{4}{5} - \frac{1}{10} $ | $ \frac{7}{10} $ |
| 7. $ \frac{3}{5} - \frac{4}{10} $ | $ \frac{1}{5} $ |
| 8. $ \frac{3}{3} - \frac{2}{6} $ | $ \frac{2}{3} $ |
| 9. $ \frac{4}{6} - \frac{1}{3} $ | $ \frac{1}{3} $ |
| 10. $ \frac{2}{3} - \frac{1}{6} $ | $ \frac{1}{2} $ |
| 11. $ \frac{4}{3} - \frac{6}{6} $ | $ \frac{1}{3} $ |
| 12. $ \frac{4}{6} - \frac{1}{2} $ | $ \frac{1}{6} $ |
| 13. $ \frac{4}{8} - \frac{1}{4} $ | $ \frac{1}{4} $ |
| 14. $ \frac{3}{4} - \frac{1}{8} $ | $ \frac{5}{8} $ |
| 15. $ \frac{1}{4} - \frac{1}{8} $ | $ \frac{1}{8} $ |
| 16. $ \frac{5}{6} - \frac{1}{6} $ | $ \frac{2}{3} $ |
| 17. $ \frac{6}{9} - \frac{1}{3} $ | $ \frac{1}{3} $ |
| 18. $ \frac{4}{3} - \frac{4}{6} $ | $ \frac{2}{3} $ |
| 19. $ \frac{5}{8} - \frac{2}{4} $ | $ \frac{1}{8} $ |
| 20. $ \frac{1}{2} - \frac{1}{4} $ | $ \frac{1}{4} $ |
| 21. $ \frac{9}{6} - \frac{2}{3} $ | $ \frac{5}{6} $ |
| 22. $ \frac{1}{3} - \frac{1}{6} $ | $ \frac{1}{6} $ |
| 23. $ \frac{1}{2} - \frac{1}{8} $ | $ \frac{3}{8} $ |
| 24. $ \frac{3}{6} - \frac{1}{3} $ | $ \frac{1}{6} $ |
| 25. $ \frac{5}{6} - \frac{1}{6} $ | $ \frac{2}{3} $ |
| 26. $ \frac{3}{4} - \frac{1}{2} $ | $ \frac{1}{4} $ |
| 27. $ \frac{4}{5} - \frac{2}{10} $ | $ \frac{3}{5} $ |

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✔ All answers are in lowest terms.

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