Adding Fractions Worksheet 2: Solve the equations with like denominators.

To solve these problems, we follow a simple rule for adding fractions with the same bottom number (denominator):

1. Keep the denominator the same.
2. Add the top numbers (numerators) together.
3. Check if the fraction can be simplified (made smaller) or if it is an improper fraction (top number is bigger than the bottom number), which can be turned into a mixed number.

Here is the step-by-step solution for each problem:

1. $\frac{7}{12} + \frac{4}{12}$
* Add tops: $7 + 4 = 11$
* Keep bottom: $12$
* Result: $\frac{11}{12}$ (Cannot be simplified further)

2. $\frac{5}{9} + \frac{2}{9}$
* Add tops: $5 + 2 = 7$
* Keep bottom: $9$
* Result: $\frac{7}{9}$

3. $\frac{1}{4} + \frac{2}{4}$
* Add tops: $1 + 2 = 3$
* Keep bottom: $4$
* Result: $\frac{3}{4}$

4. $\frac{2}{5} + \frac{2}{5}$
* Add tops: $2 + 2 = 4$
* Keep bottom: $5$
* Result: $\frac{4}{5}$

5. $\frac{1}{8} + \frac{6}{8}$
* Add tops: $1 + 6 = 7$
* Keep bottom: $8$
* Result: $\frac{7}{8}$

6. $\frac{1}{6} + \frac{4}{6}$
* Add tops: $1 + 4 = 5$
* Keep bottom: $6$
* Result: $\frac{5}{6}$

7. $\frac{6}{8} + \frac{1}{8}$
* Add tops: $6 + 1 = 7$
* Keep bottom: $8$
* Result: $\frac{7}{8}$

8. $\frac{7}{15} + \frac{7}{15}$
* Add tops: $7 + 7 = 14$
* Keep bottom: $15$
* Result: $\frac{14}{15}$

9. $\frac{2}{7} + \frac{4}{7}$
* Add tops: $2 + 4 = 6$
* Keep bottom: $7$
* Result: $\frac{6}{7}$

10. $\frac{1}{3} + \frac{1}{3}$
* Add tops: $1 + 1 = 2$
* Keep bottom: $3$
* Result: $\frac{2}{3}$

Final Answer:
1. $\frac{11}{12}$
2. $\frac{7}{9}$
3. $\frac{3}{4}$
4. $\frac{4}{5}$
5. $\frac{7}{8}$
6. $\frac{5}{6}$
7. $\frac{7}{8}$
8. $\frac{14}{15}$
9. $\frac{6}{7}$
10. $\frac{2}{3}$