Adding Fractions Worksheet 2 - Solve the equations.

Sure! Let’s solve each of these adding fractions problems step by step. The key is to find a common denominator, then add the numerators, and finally simplify if possible.

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1. $\frac{1}{6} + \frac{5}{12}$

- Common denominator of 6 and 12 is 12
- Convert $\frac{1}{6} = \frac{2}{12}$
- Now: $\frac{2}{12} + \frac{5}{12} = \frac{7}{12}$
✔ Answer: $\frac{7}{12}$

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2. $\frac{1}{8} + \frac{12}{24}$

- Simplify $\frac{12}{24} = \frac{1}{2}$
- Common denominator of 8 and 2 is 8
- Convert $\frac{1}{2} = \frac{4}{8}$
- Now: $\frac{1}{8} + \frac{4}{8} = \frac{5}{8}$
✔ Answer: $\frac{5}{8}$

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3. $\frac{2}{3} + \frac{1}{15}$

- Common denominator of 3 and 15 is 15
- Convert $\frac{2}{3} = \frac{10}{15}$
- Now: $\frac{10}{15} + \frac{1}{15} = \frac{11}{15}$
✔ Answer: $\frac{11}{15}$

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4. $\frac{3}{9} + \frac{7}{18}$

- Simplify $\frac{3}{9} = \frac{1}{3}$
- Common denominator of 3 and 18 is 18
- Convert $\frac{1}{3} = \frac{6}{18}$
- Now: $\frac{6}{18} + \frac{7}{18} = \frac{13}{18}$
✔ Answer: $\frac{13}{18}$

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5. $\frac{1}{6} + \frac{3}{12}$

- Simplify $\frac{3}{12} = \frac{1}{4}$
- Common denominator of 6 and 4 is 12
- Convert: $\frac{1}{6} = \frac{2}{12}$, $\frac{1}{4} = \frac{3}{12}$
- Now: $\frac{2}{12} + \frac{3}{12} = \frac{5}{12}$
✔ Answer: $\frac{5}{12}$

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

- Common denominator of 3 and 9 is 9
- Convert $\frac{2}{3} = \frac{6}{9}$
- Now: $\frac{6}{9} + \frac{2}{9} = \frac{8}{9}$
✔ Answer: $\frac{8}{9}$

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7. $\frac{4}{5} + \frac{2}{15}$

- Common denominator of 5 and 15 is 15
- Convert $\frac{4}{5} = \frac{12}{15}$
- Now: $\frac{12}{15} + \frac{2}{15} = \frac{14}{15}$
✔ Answer: $\frac{14}{15}$

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8. $\frac{6}{8} + \frac{3}{16}$

- Simplify $\frac{6}{8} = \frac{3}{4}$
- Common denominator of 4 and 16 is 16
- Convert $\frac{3}{4} = \frac{12}{16}$
- Now: $\frac{12}{16} + \frac{3}{16} = \frac{15}{16}$
✔ Answer: $\frac{15}{16}$

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9. $\frac{1}{4} + \frac{3}{16}$

- Common denominator of 4 and 16 is 16
- Convert $\frac{1}{4} = \frac{4}{16}$
- Now: $\frac{4}{16} + \frac{3}{16} = \frac{7}{16}$
✔ Answer: $\frac{7}{16}$

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10. $\frac{1}{2} + \frac{2}{6}$

- Simplify $\frac{2}{6} = \frac{1}{3}$
- Common denominator of 2 and 3 is 6
- Convert: $\frac{1}{2} = \frac{3}{6}$, $\frac{1}{3} = \frac{2}{6}$
- Now: $\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$
✔ Answer: $\frac{5}{6}$

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## ✔ 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 a printable version or more practice! 😊