Adding fractions with like denominators worksheets | Worsheets library - Free Printable

Let's solve each of these fraction addition problems step by step. All the fractions in this worksheet have like denominators, which means we can simply add the numerators and keep the denominator the same.

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1. $ \frac{3}{4} + \frac{3}{4} $

- Add numerators: $ 3 + 3 = 6 $
- Denominator stays: $ 4 $
- Result: $ \frac{6}{4} $
- Simplify: $ \frac{6}{4} = \frac{3}{2} = 1\frac{1}{2} $

✔ Answer: $ \boxed{1\frac{1}{2}} $

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2. $ \frac{5}{7} + \frac{6}{7} $

- Add numerators: $ 5 + 6 = 11 $
- Denominator: $ 7 $
- Result: $ \frac{11}{7} $
- Simplify: $ \frac{11}{7} = 1\frac{4}{7} $

✔ Answer: $ \boxed{1\frac{4}{7}} $

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3. $ \frac{16}{29} + \frac{12}{29} $

- Add numerators: $ 16 + 12 = 28 $
- Denominator: $ 29 $
- Result: $ \frac{28}{29} $
- Already simplified.

✔ Answer: $ \boxed{\frac{28}{29}} $

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4. $ \frac{23}{100} + \frac{54}{100} $

- Add numerators: $ 23 + 54 = 77 $
- Denominator: $ 100 $
- Result: $ \frac{77}{100} $

✔ Answer: $ \boxed{\frac{77}{100}} $

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5. $ \frac{6}{9} + \frac{1}{9} $

- Add numerators: $ 6 + 1 = 7 $
- Denominator: $ 9 $
- Result: $ \frac{7}{9} $
- Already simplified.

✔ Answer: $ \boxed{\frac{7}{9}} $

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6. $ \frac{8}{10} + \frac{4}{10} $

- Add numerators: $ 8 + 4 = 12 $
- Denominator: $ 10 $
- Result: $ \frac{12}{10} $
- Simplify: $ \frac{12}{10} = \frac{6}{5} = 1\frac{1}{5} $

✔ Answer: $ \boxed{1\frac{1}{5}} $

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7. $ \frac{4}{6} + \frac{4}{6} $

- Add numerators: $ 4 + 4 = 8 $
- Denominator: $ 6 $
- Result: $ \frac{8}{6} $
- Simplify: $ \frac{8}{6} = \frac{4}{3} = 1\frac{1}{3} $

✔ Answer: $ \boxed{1\frac{1}{3}} $

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8. $ \frac{18}{50} + \frac{42}{50} $

- Add numerators: $ 18 + 42 = 60 $
- Denominator: $ 50 $
- Result: $ \frac{60}{50} $
- Simplify: $ \frac{60}{50} = \frac{6}{5} = 1\frac{1}{5} $

✔ Answer: $ \boxed{1\frac{1}{5}} $

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9. $ \frac{13}{20} + \frac{11}{20} $

- Add numerators: $ 13 + 11 = 24 $
- Denominator: $ 20 $
- Result: $ \frac{24}{20} $
- Simplify: $ \frac{24}{20} = \frac{6}{5} = 1\frac{1}{5} $

✔ Answer: $ \boxed{1\frac{1}{5}} $

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10. $ \frac{7}{11} + \frac{7}{11} $

- Add numerators: $ 7 + 7 = 14 $
- Denominator: $ 11 $
- Result: $ \frac{14}{11} $
- Simplify: $ \frac{14}{11} = 1\frac{3}{11} $

✔ Answer: $ \boxed{1\frac{3}{11}} $

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11. $ \frac{15}{25} + \frac{7}{25} $

- Add numerators: $ 15 + 7 = 22 $
- Denominator: $ 25 $
- Result: $ \frac{22}{25} $
- Already simplified.

✔ Answer: $ \boxed{\frac{22}{25}} $

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12. $ \frac{4}{7} + \frac{3}{7} $

- Add numerators: $ 4 + 3 = 7 $
- Denominator: $ 7 $
- Result: $ \frac{7}{7} = 1 $

✔ Answer: $ \boxed{1} $

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13. $ \frac{1}{3} + \frac{1}{3} $

- Add numerators: $ 1 + 1 = 2 $
- Denominator: $ 3 $
- Result: $ \frac{2}{3} $

✔ Answer: $ \boxed{\frac{2}{3}} $

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14. $ \frac{4}{8} + \frac{3}{8} $

- Add numerators: $ 4 + 3 = 7 $
- Denominator: $ 8 $
- Result: $ \frac{7}{8} $

✔ Answer: $ \boxed{\frac{7}{8}} $

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15. $ \frac{2}{5} + \frac{2}{5} $

- Add numerators: $ 2 + 2 = 4 $
- Denominator: $ 5 $
- Result: $ \frac{4}{5} $

✔ Answer: $ \boxed{\frac{4}{5}} $

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16. $ \frac{8}{10} + \frac{10}{10} $

- Add numerators: $ 8 + 10 = 18 $
- Denominator: $ 10 $
- Result: $ \frac{18}{10} $
- Simplify: $ \frac{18}{10} = \frac{9}{5} = 1\frac{4}{5} $

✔ Answer: $ \boxed{1\frac{4}{5}} $

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17. $ \frac{3}{12} + \frac{6}{12} $

- Add numerators: $ 3 + 6 = 9 $
- Denominator: $ 12 $
- Result: $ \frac{9}{12} $
- Simplify: $ \frac{9}{12} = \frac{3}{4} $

✔ Answer: $ \boxed{\frac{3}{4}} $

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18. $ \frac{1}{2} + \frac{1}{2} $

- Add numerators: $ 1 + 1 = 2 $
- Denominator: $ 2 $
- Result: $ \frac{2}{2} = 1 $

✔ Answer: $ \boxed{1} $

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19. $ \frac{3}{13} + \frac{7}{13} $

- Add numerators: $ 3 + 7 = 10 $
- Denominator: $ 13 $
- Result: $ \frac{10}{13} $

✔ Answer: $ \boxed{\frac{10}{13}} $

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20. $ \frac{8}{15} + \frac{11}{15} $

- Add numerators: $ 8 + 11 = 19 $
- Denominator: $ 15 $
- Result: $ \frac{19}{15} $
- Simplify: $ \frac{19}{15} = 1\frac{4}{15} $

✔ Answer: $ \boxed{1\frac{4}{15}} $

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21. $ \frac{3}{14} + \frac{4}{14} $

- Add numerators: $ 3 + 4 = 7 $
- Denominator: $ 14 $
- Result: $ \frac{7}{14} $
- Simplify: $ \frac{7}{14} = \frac{1}{2} $

✔ Answer: $ \boxed{\frac{1}{2}} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $ 1\frac{1}{2} $ |
| 2 | $ 1\frac{4}{7} $ |
| 3 | $ \frac{28}{29} $ |
| 4 | $ \frac{77}{100} $ |
| 5 | $ \frac{7}{9} $ |
| 6 | $ 1\frac{1}{5} $ |
| 7 | $ 1\frac{1}{3} $ |
| 8 | $ 1\frac{1}{5} $ |
| 9 | $ 1\frac{1}{5} $ |
| 10 | $ 1\frac{3}{11} $ |
| 11 | $ \frac{22}{25} $ |
| 12 | $ 1 $ |
| 13 | $ \frac{2}{3} $ |
| 14 | $ \frac{7}{8} $ |
| 15 | $ \frac{4}{5} $ |
| 16 | $ 1\frac{4}{5} $ |
| 17 | $ \frac{3}{4} $ |
| 18 | $ 1 $ |
| 19 | $ \frac{10}{13} $ |
| 20 | $ 1\frac{4}{15} $ |
| 21 | $ \frac{1}{2} $ |

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🔍 Key Concept Recap:

When adding fractions with like denominators:
- Add the numerators.
- Keep the denominator the same.
- Simplify the result if possible (reduce or convert to mixed number).

This worksheet is great for practicing basic fraction addition and simplification skills!