Printable math worksheet featuring 14 problems for adding fractions with like denominators.

Problem: Adding Fractions with Like Denominators

The task involves adding fractions where the denominators are the same (like denominators). When adding fractions with like denominators, you simply add the numerators and keep the denominator unchanged. If the resulting fraction can be simplified, you should simplify it.

Let's solve each problem step by step:

---

#### 1. $\frac{68}{100} + \frac{24}{100}$
- Denominators are the same (100).
- Add the numerators: $68 + 24 = 92$.
- Result: $\frac{92}{100}$.
- Simplify: Both 92 and 100 are divisible by 4.
- $92 \div 4 = 23$, $100 \div 4 = 25$.
- Simplified result: $\frac{23}{25}$.

Answer: $\frac{23}{25}$

---

#### 2. $\frac{1}{2} + \frac{1}{2}$
- Denominators are the same (2).
- Add the numerators: $1 + 1 = 2$.
- Result: $\frac{2}{2}$.
- Simplify: $\frac{2}{2} = 1$.

Answer: $1$

---

#### 3. $\frac{3}{10} + \frac{2}{10}$
- Denominators are the same (10).
- Add the numerators: $3 + 2 = 5$.
- Result: $\frac{5}{10}$.
- Simplify: Both 5 and 10 are divisible by 5.
- $5 \div 5 = 1$, $10 \div 5 = 2$.
- Simplified result: $\frac{1}{2}$.

Answer: $\frac{1}{2}$

---

#### 4. $\frac{2}{15} + \frac{11}{15}$
- Denominators are the same (15).
- Add the numerators: $2 + 11 = 13$.
- Result: $\frac{13}{15}$.
- No simplification needed.

Answer: $\frac{13}{15}$

---

#### 5. $\frac{5}{7} + \frac{4}{7}$
- Denominators are the same (7).
- Add the numerators: $5 + 4 = 9$.
- Result: $\frac{9}{7}$.
- No simplification needed.

Answer: $\frac{9}{7}$

---

#### 6. $\frac{14}{25} + \frac{2}{25}$
- Denominators are the same (25).
- Add the numerators: $14 + 2 = 16$.
- Result: $\frac{16}{25}$.
- No simplification needed.

Answer: $\frac{16}{25}$

---

#### 7. $\frac{6}{12} + \frac{5}{12}$
- Denominators are the same (12).
- Add the numerators: $6 + 5 = 11$.
- Result: $\frac{11}{12}$.
- No simplification needed.

Answer: $\frac{11}{12}$

---

#### 8. $\frac{8}{9} + \frac{4}{9}$
- Denominators are the same (9).
- Add the numerators: $8 + 4 = 12$.
- Result: $\frac{12}{9}$.
- Simplify: Both 12 and 9 are divisible by 3.
- $12 \div 3 = 4$, $9 \div 3 = 3$.
- Simplified result: $\frac{4}{3}$.

Answer: $\frac{4}{3}$

---

#### 9. $\frac{16}{50} + \frac{30}{50}$
- Denominators are the same (50).
- Add the numerators: $16 + 30 = 46$.
- Result: $\frac{46}{50}$.
- Simplify: Both 46 and 50 are divisible by 2.
- $46 \div 2 = 23$, $50 \div 2 = 25$.
- Simplified result: $\frac{23}{25}$.

Answer: $\frac{23}{25}$

---

#### 10. $\frac{2}{6} + \frac{1}{6}$
- Denominators are the same (6).
- Add the numerators: $2 + 1 = 3$.
- Result: $\frac{3}{6}$.
- Simplify: Both 3 and 6 are divisible by 3.
- $3 \div 3 = 1$, $6 \div 3 = 2$.
- Simplified result: $\frac{1}{2}$.

Answer: $\frac{1}{2}$

---

#### 11. $\frac{16}{20} + \frac{16}{20}$
- Denominators are the same (20).
- Add the numerators: $16 + 16 = 32$.
- Result: $\frac{32}{20}$.
- Simplify: Both 32 and 20 are divisible by 4.
- $32 \div 4 = 8$, $20 \div 4 = 5$.
- Simplified result: $\frac{8}{5}$.

Answer: $\frac{8}{5}$

---

#### 12. $\frac{5}{8} + \frac{1}{8}$
- Denominators are the same (8).
- Add the numerators: $5 + 1 = 6$.
- Result: $\frac{6}{8}$.
- Simplify: Both 6 and 8 are divisible by 2.
- $6 \div 2 = 3$, $8 \div 2 = 4$.
- Simplified result: $\frac{3}{4}$.

Answer: $\frac{3}{4}$

---

#### 13. $\frac{10}{15} + \frac{9}{15}$
- Denominators are the same (15).
- Add the numerators: $10 + 9 = 19$.
- Result: $\frac{19}{15}$.
- No simplification needed.

Answer: $\frac{19}{15}$

---

#### 14. $\frac{17}{25} + \frac{19}{25}$
- Denominators are the same (25).
- Add the numerators: $17 + 19 = 36$.
- Result: $\frac{36}{25}$.
- No simplification needed.

Answer: $\frac{36}{25}$

---

Final Answers:

1. $\frac{23}{25}$
2. $1$
3. $\frac{1}{2}$
4. $\frac{13}{15}$
5. $\frac{9}{7}$
6. $\frac{16}{25}$
7. $\frac{11}{12}$
8. $\frac{4}{3}$
9. $\frac{23}{25}$
10. $\frac{1}{2}$
11. $\frac{8}{5}$
12. $\frac{3}{4}$
13. $\frac{19}{15}$
14. $\frac{36}{25}$

Boxed Final Answer:
$$
\boxed{\frac{23}{25}, 1, \frac{1}{2}, \frac{13}{15}, \frac{9}{7}, \frac{16}{25}, \frac{11}{12}, \frac{4}{3}, \frac{23}{25}, \frac{1}{2}, \frac{8}{5}, \frac{3}{4}, \frac{19}{15}, \frac{36}{25}}
$$