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}{3} + \frac{2}{6} $
- Simplify $ \frac{2}{6} = \frac{1}{3} $
- So: $ \frac{1}{3} + \frac{1}{3} = \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
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2. $ \frac{3}{12} + \frac{4}{24} $
- Simplify both:
- $ \frac{3}{12} = \frac{1}{4} $
- $ \frac{4}{24} = \frac{1}{6} $
- Find LCD of 4 and 6 → 12
- Convert:
- $ \frac{1}{4} = \frac{3}{12} $
- $ \frac{1}{6} = \frac{2}{12} $
- Add: $ \frac{3}{12} + \frac{2}{12} = \frac{5}{12} $
✔ Answer: $ \frac{5}{12} $
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3. $ \frac{1}{2} + \frac{4}{8} $
- Simplify $ \frac{4}{8} = \frac{1}{2} $
- So: $ \frac{1}{2} + \frac{1}{2} = \frac{2}{2} = 1 $
✔ Answer: $ 1 $
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4. $ \frac{1}{7} + \frac{2}{21} $
- LCD of 7 and 21 is 21
- Convert $ \frac{1}{7} = \frac{3}{21} $
- $ \frac{3}{21} + \frac{2}{21} = \frac{5}{21} $
✔ Answer: $ \frac{5}{21} $
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5. $ \frac{2}{5} + \frac{3}{10} $
- LCD of 5 and 10 is 10
- Convert $ \frac{2}{5} = \frac{4}{10} $
- $ \frac{4}{10} + \frac{3}{10} = \frac{7}{10} $
✔ Answer: $ \frac{7}{10} $
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6. $ \frac{1}{4} + \frac{3}{8} $
- LCD of 4 and 8 is 8
- Convert $ \frac{1}{4} = \frac{2}{8} $
- $ \frac{2}{8} + \frac{3}{8} = \frac{5}{8} $
✔ Answer: $ \frac{5}{8} $
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7. $ \frac{1}{2} + \frac{2}{6} $
- Simplify $ \frac{2}{6} = \frac{1}{3} $
- LCD of 2 and 3 is 6
- Convert:
- $ \frac{1}{2} = \frac{3}{6} $
- $ \frac{1}{3} = \frac{2}{6} $
- $ \frac{3}{6} + \frac{2}{6} = \frac{5}{6} $
✔ Answer: $ \frac{5}{6} $
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8. $ \frac{2}{9} + \frac{3}{18} $
- Simplify $ \frac{3}{18} = \frac{1}{6} $
- LCD of 9 and 6 is 18
- Convert:
- $ \frac{2}{9} = \frac{4}{18} $
- $ \frac{1}{6} = \frac{3}{18} $
- $ \frac{4}{18} + \frac{3}{18} = \frac{7}{18} $
✔ Answer: $ \frac{7}{18} $
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9. $ \frac{2}{10} + \frac{5}{20} $
- Simplify:
- $ \frac{2}{10} = \frac{1}{5} $
- $ \frac{5}{20} = \frac{1}{4} $
- LCD of 5 and 4 is 20
- Convert:
- $ \frac{1}{5} = \frac{4}{20} $
- $ \frac{1}{4} = \frac{5}{20} $
- $ \frac{4}{20} + \frac{5}{20} = \frac{9}{20} $
✔ Answer: $ \frac{9}{20} $
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10. $ \frac{1}{4} + \frac{2}{24} $
- Simplify $ \frac{2}{24} = \frac{1}{12} $
- LCD of 4 and 12 is 12
- Convert $ \frac{1}{4} = \frac{3}{12} $
- $ \frac{3}{12} + \frac{1}{12} = \frac{4}{12} = \frac{1}{3} $
✔ Answer: $ \frac{1}{3} $
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✔ Final Answers:
1. $ \frac{2}{3} $
2. $ \frac{5}{12} $
3. $ 1 $
4. $ \frac{5}{21} $
5. $ \frac{7}{10} $
6. $ \frac{5}{8} $
7. $ \frac{5}{6} $
8. $ \frac{7}{18} $
9. $ \frac{9}{20} $
10. $ \frac{1}{3} $
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of adding fractions with unlike denominators worksheets.
