Adding Fractions Worksheet 1 – Solve the equations with fraction addition problems.

Let's solve each of these fraction addition problems step by step. The key to adding fractions is to find a common denominator, then add the numerators while keeping the denominator the same.

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1. $ \frac{1}{2} + \frac{1}{4} $

- Common denominator: 4
- Convert $ \frac{1}{2} = \frac{2}{4} $
- $ \frac{2}{4} + \frac{1}{4} = \frac{3}{4} $

✔ Answer: $ \frac{3}{4} $

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2. $ \frac{1}{5} + \frac{7}{10} $

- Common denominator: 10
- Convert $ \frac{1}{5} = \frac{2}{10} $
- $ \frac{2}{10} + \frac{7}{10} = \frac{9}{10} $

✔ Answer: $ \frac{9}{10} $

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3. $ \frac{1}{6} + \frac{2}{18} $

- Simplify $ \frac{2}{18} = \frac{1}{9} $
- Now: $ \frac{1}{6} + \frac{1}{9} $
- Common denominator: 18
- $ \frac{1}{6} = \frac{3}{18},\ \frac{1}{9} = \frac{2}{18} $
- $ \frac{3}{18} + \frac{2}{18} = \frac{5}{18} $

✔ Answer: $ \frac{5}{18} $

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4. $ \frac{1}{4} + \frac{2}{12} $

- Simplify $ \frac{2}{12} = \frac{1}{6} $
- Now: $ \frac{1}{4} + \frac{1}{6} $
- Common denominator: 12
- $ \frac{1}{4} = \frac{3}{12},\ \frac{1}{6} = \frac{2}{12} $
- $ \frac{3}{12} + \frac{2}{12} = \frac{5}{12} $

✔ Answer: $ \frac{5}{12} $

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5. $ \frac{1}{5} + \frac{3}{15} $

- Simplify $ \frac{3}{15} = \frac{1}{5} $
- $ \frac{1}{5} + \frac{1}{5} = \frac{2}{5} $

✔ Answer: $ \frac{2}{5} $

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6. $ \frac{1}{8} + \frac{3}{4} $

- Common denominator: 8
- $ \frac{3}{4} = \frac{6}{8} $
- $ \frac{1}{8} + \frac{6}{8} = \frac{7}{8} $

✔ Answer: $ \frac{7}{8} $

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7. $ \frac{1}{2} + \frac{3}{8} $

- Common denominator: 8
- $ \frac{1}{2} = \frac{4}{8} $
- $ \frac{4}{8} + \frac{3}{8} = \frac{7}{8} $

✔ Answer: $ \frac{7}{8} $

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8. $ \frac{6}{7} + \frac{2}{21} $

- Common denominator: 21
- $ \frac{6}{7} = \frac{18}{21} $
- $ \frac{18}{21} + \frac{2}{21} = \frac{20}{21} $

✔ Answer: $ \frac{20}{21} $

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9. $ \frac{1}{3} + \frac{2}{9} $

- Common denominator: 9
- $ \frac{1}{3} = \frac{3}{9} $
- $ \frac{3}{9} + \frac{2}{9} = \frac{5}{9} $

✔ Answer: $ \frac{5}{9} $

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10. $ \frac{5}{16} + \frac{1}{4} $

- Common denominator: 16
- $ \frac{1}{4} = \frac{4}{16} $
- $ \frac{5}{16} + \frac{4}{16} = \frac{9}{16} $

✔ Answer: $ \frac{9}{16} $

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✔ Final Answers:

1. $ \frac{3}{4} $
2. $ \frac{9}{10} $
3. $ \frac{5}{18} $
4. $ \frac{5}{12} $
5. $ \frac{2}{5} $
6. $ \frac{7}{8} $
7. $ \frac{7}{8} $
8. $ \frac{20}{21} $
9. $ \frac{5}{9} $
10. $ \frac{9}{16} $

Let me know if you'd like this in a printable format or with visual models!