Adding Fractions With Like Denominators Worksheets - Free Printable

Here are the solutions to the problems on the worksheet. I have calculated each one step-by-step to ensure accuracy.

Step-by-Step Calculations:

1) $\frac{7}{6} + \frac{2}{6}$
- Add numerators: $7 + 2 = 9$
- Keep denominator: $6$
- Result: $\frac{9}{6}$ (This simplifies to $\frac{3}{2}$ or $1 \frac{1}{2}$, but usually keeping the original denominator is fine for this level unless asked to simplify). Let's provide the unsimplified fraction as shown in the problem structure, but note that it can be simplified. The blank asks for the numerator over 6. So, 9.

2) $\frac{7}{5} - \frac{4}{5}$
- Subtract numerators: $7 - 4 = 3$
- Keep denominator: $5$
- Result: $\frac{3}{5}$. The blank asks for the numerator over 5. So, 3.

3) $\frac{9}{10} - \frac{7}{10}$
- Subtract numerators: $9 - 7 = 2$
- Keep denominator: $10$
- Result: $\frac{2}{10}$ (Simplifies to $\frac{1}{5}$). The blank asks for the numerator over 10. So, 2.

4) $\frac{7}{9} + \frac{6}{9}$
- Add numerators: $7 + 6 = 13$
- Keep denominator: $9$
- Result: $\frac{13}{9}$. The blank asks for the numerator over 9. So, 13.

5) $\frac{8}{7} + \frac{6}{7}$
- Add numerators: $8 + 6 = 14$
- Keep denominator: $7$
- Result: $\frac{14}{7}$ which equals 2.

6) $\frac{11}{4} - \frac{6}{4}$
- Subtract numerators: $11 - 6 = 5$
- Keep denominator: $4$
- Result: $\frac{5}{4}$ (or $1 \frac{1}{4}$).

7) $\frac{12}{15} + \frac{7}{15}$
- Add numerators: $12 + 7 = 19$
- Keep denominator: $15$
- Result: $\frac{19}{15}$ (or $1 \frac{4}{15}$).

8) $\frac{15}{12} - \frac{4}{12}$
- Subtract numerators: $15 - 4 = 11$
- Keep denominator: $12$
- Result: $\frac{11}{12}$.

9) $\frac{11}{6} - \frac{7}{6}$
- Subtract numerators: $11 - 7 = 4$
- Keep denominator: $6$
- Result: $\frac{4}{6}$ which simplifies to $\frac{2}{3}$.

10) $\frac{12}{9} + \frac{13}{9}$
- Add numerators: $12 + 13 = 25$
- Keep denominator: $9$
- Result: $\frac{25}{9}$ (or $2 \frac{7}{9}$).

11) $\frac{19}{20} - \frac{13}{20}$
- Subtract numerators: $19 - 13 = 6$
- Keep denominator: $20$
- Result: $\frac{6}{20}$ which simplifies to $\frac{3}{10}$.

12) $\frac{9}{7} + \frac{8}{7}$
- Add numerators: $9 + 8 = 17$
- Keep denominator: $7$
- Result: $\frac{17}{7}$ (or $2 \frac{3}{7}$).

13) $\frac{24}{25} + \frac{13}{25}$
- Add numerators: $24 + 13 = 37$
- Keep denominator: $25$
- Result: $\frac{37}{25}$ (or $1 \frac{12}{25}$).

14) $\frac{14}{11} - \frac{5}{11}$
- Subtract numerators: $14 - 5 = 9$
- Keep denominator: $11$
- Result: $\frac{9}{11}$.

15) $\frac{15}{14} + \frac{16}{14}$
- Add numerators: $15 + 16 = 31$
- Keep denominator: $14$
- Result: $\frac{31}{14}$ (or $2 \frac{3}{14}$).

16) $\frac{28}{30} - \frac{15}{30}$
- Subtract numerators: $28 - 15 = 13$
- Keep denominator: $30$
- Result: $\frac{13}{30}$.

17) $\frac{8}{11} + \frac{7}{11}$
- Add numerators: $8 + 7 = 15$
- Keep denominator: $11$
- Result: $\frac{15}{11}$ (or $1 \frac{4}{11}$).

18) $\frac{35}{50} - \frac{12}{50}$
- Subtract numerators: $35 - 12 = 23$
- Keep denominator: $50$
- Result: $\frac{23}{50}$.

Final Answer:
1) 9/6 (or 3/2)
2) 3/5
3) 2/10 (or 1/5)
4) 13/9
5) 14/7 (or 2)
6) 5/4
7) 19/15
8) 11/12
9) 4/6 (or 2/3)
10) 25/9
11) 6/20 (or 3/10)
12) 17/7
13) 37/25
14) 9/11
15) 31/14
16) 13/30
17) 15/11
18) 23/50