Adding Fractions Worksheets with Answer Key - Free Printable

Let’s solve each fraction addition problem step by step. We’ll find a common denominator, add the numerators, and simplify if needed.

---

Problem 1: 2/5 + 19/10

- Common denominator of 5 and 10 is 10.
- Convert 2/5 to 4/10 (multiply numerator and denominator by 2).
- Now: 4/10 + 19/10 = 23/10
- 23/10 is already simplified → 23/10 or 2 3/10

---

Problem 2: 17/40 + 4/5

- Common denominator of 40 and 5 is 40.
- Convert 4/5 to 32/40 (multiply by 8).
- Now: 17/40 + 32/40 = 49/40
- 49/40 is already simplified → 49/40 or 1 9/40

---

Problem 3: 6/7 + 5/21

- Common denominator of 7 and 21 is 21.
- Convert 6/7 to 18/21 (multiply by 3).
- Now: 18/21 + 5/21 = 23/21
- 23/21 is already simplified → 23/21 or 1 2/21

---

Problem 4: 1/19 + 1/2

- Common denominator of 19 and 2 is 38.
- Convert 1/19 to 2/38, and 1/2 to 19/38.
- Now: 2/38 + 19/38 = 21/38
- 21/38 cannot be simplified → 21/38

---

Problem 5: 2/3 + 11/18

- Common denominator of 3 and 18 is 18.
- Convert 2/3 to 12/18 (multiply by 6).
- Now: 12/18 + 11/18 = 23/18
- 23/18 is already simplified → 23/18 or 1 5/18

---

Problem 6: 3/16 + 5/8

- Common denominator of 16 and 8 is 16.
- Convert 5/8 to 10/16 (multiply by 2).
- Now: 3/16 + 10/16 = 13/16
- Already simplified → 13/16

---

Problem 7: 45/56 + 5/7

- Common denominator of 56 and 7 is 56.
- Convert 5/7 to 40/56 (multiply by 8).
- Now: 45/56 + 40/56 = 85/56
- 85/56 is already simplified → 85/56 or 1 29/56

---

Problem 8: 3/4 + 25/36

- Common denominator of 4 and 36 is 36.
- Convert 3/4 to 27/36 (multiply by 9).
- Now: 27/36 + 25/36 = 52/36
- Simplify: divide numerator and denominator by 4 → 13/9
- 13/9 → 13/9 or 1 4/9

---

Problem 9: 17/48 + 9/8

- Common denominator of 48 and 8 is 48.
- Convert 9/8 to 54/48 (multiply by 6).
- Now: 17/48 + 54/48 = 71/48
- Already simplified → 71/48 or 1 23/48

---

Problem 10: 2/17 + 1/5

- Common denominator of 17 and 5 is 85.
- Convert 2/17 to 10/85, and 1/5 to 17/85.
- Now: 10/85 + 17/85 = 27/85
- Cannot simplify → 27/85

---

Problem 11: 23/30 + 5/3

- Common denominator of 30 and 3 is 30.
- Convert 5/3 to 50/30 (multiply by 10).
- Now: 23/30 + 50/30 = 73/30
- Already simplified → 73/30 or 2 13/30

---

Problem 12: 22/45 + 4/9

- Common denominator of 45 and 9 is 45.
- Convert 4/9 to 20/45 (multiply by 5).
- Now: 22/45 + 20/45 = 42/45
- Simplify: divide numerator and denominator by 3 → 14/15
- Final answer → 14/15

---

Final Answer:
1. 23/10
2. 49/40
3. 23/21
4. 21/38
5. 23/18
6. 13/16
7. 85/56
8. 13/9
9. 71/48
10. 27/85
11. 73/30
12. 14/15