Let's solve each of the 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.
---
1. $ \frac{1}{6} + \frac{5}{12} $
- Find the least common denominator (LCD) of 6 and 12 →
12
- Convert $ \frac{1}{6} $ to twelfths: $ \frac{1}{6} = \frac{2}{12} $
- Now add: $ \frac{2}{12} + \frac{5}{12} = \frac{7}{12} $
✔ Answer: $ \frac{7}{12} $
---
2. $ \frac{1}{8} + \frac{12}{24} $
- Simplify $ \frac{12}{24} = \frac{1}{2} $
- LCD of 8 and 2 is
8
- Convert $ \frac{1}{2} = \frac{4}{8} $
- Add: $ \frac{1}{8} + \frac{4}{8} = \frac{5}{8} $
✔ Answer: $ \frac{5}{8} $
---
3. $ \frac{2}{3} + \frac{1}{15} $
- LCD of 3 and 15 is
15
- Convert $ \frac{2}{3} = \frac{10}{15} $
- Add: $ \frac{10}{15} + \frac{1}{15} = \frac{11}{15} $
✔ Answer: $ \frac{11}{15} $
---
4. $ \frac{3}{9} + \frac{7}{18} $
- Simplify $ \frac{3}{9} = \frac{1}{3} $
- LCD of 3 and 18 is
18
- Convert $ \frac{1}{3} = \frac{6}{18} $
- Add: $ \frac{6}{18} + \frac{7}{18} = \frac{13}{18} $
✔ Answer: $ \frac{13}{18} $
---
5. $ \frac{1}{6} + \frac{3}{12} $
- Simplify $ \frac{3}{12} = \frac{1}{4} $
- LCD of 6 and 4 is
12
- Convert: $ \frac{1}{6} = \frac{2}{12},\ \frac{1}{4} = \frac{3}{12} $
- Add: $ \frac{2}{12} + \frac{3}{12} = \frac{5}{12} $
✔ Answer: $ \frac{5}{12} $
---
6. $ \frac{2}{3} + \frac{2}{9} $
- LCD of 3 and 9 is
9
- Convert $ \frac{2}{3} = \frac{6}{9} $
- Add: $ \frac{6}{9} + \frac{2}{9} = \frac{8}{9} $
✔ Answer: $ \frac{8}{9} $
---
7. $ \frac{4}{5} + \frac{2}{15} $
- LCD of 5 and 15 is
15
- Convert $ \frac{4}{5} = \frac{12}{15} $
- Add: $ \frac{12}{15} + \frac{2}{15} = \frac{14}{15} $
✔ Answer: $ \frac{14}{15} $
---
8. $ \frac{6}{8} + \frac{3}{16} $
- Simplify $ \frac{6}{8} = \frac{3}{4} $
- LCD of 4 and 16 is
16
- Convert $ \frac{3}{4} = \frac{12}{16} $
- Add: $ \frac{12}{16} + \frac{3}{16} = \frac{15}{16} $
✔ Answer: $ \frac{15}{16} $
---
9. $ \frac{1}{4} + \frac{3}{16} $
- LCD of 4 and 16 is
16
- Convert $ \frac{1}{4} = \frac{4}{16} $
- Add: $ \frac{4}{16} + \frac{3}{16} = \frac{7}{16} $
✔ Answer: $ \frac{7}{16} $
---
10. $ \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} $
- Add: $ \frac{3}{6} + \frac{2}{6} = \frac{5}{6} $
✔ Answer: $ \frac{5}{6} $
---
✔ Final Answers:
1. $ \frac{7}{12} $
2. $ \frac{5}{8} $
3. $ \frac{11}{15} $
4. $ \frac{13}{18} $
5. $ \frac{5}{12} $
6. $ \frac{8}{9} $
7. $ \frac{14}{15} $
8. $ \frac{15}{16} $
9. $ \frac{7}{16} $
10. $ \frac{5}{6} $
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of addition subtraction fractions worksheet.
