Adding Subtracting Fractions Worksheets - Free Printable

I'll solve each problem step by step, carefully checking my calculations.

Problem 1: 5/4 + 3/4
- Same denominator (4), so add numerators: 5 + 3 = 8
- Result: 8/4
- Simplify: 8 ÷ 4 = 2
- Answer: 2

Problem 2: 9/3 - 5/3
- Same denominator (3), so subtract numerators: 9 - 5 = 4
- Result: 4/3
- This is an improper fraction, which is acceptable per instructions
- Answer: 4/3

Problem 3: 23/6 - 7/6
- Same denominator (6), so subtract numerators: 23 - 7 = 16
- Result: 16/6
- Simplify: Both divisible by 2 → 8/3
- Answer: 8/3

Problem 4: 9/8 + 12/8
- Same denominator (8), so add numerators: 9 + 12 = 21
- Result: 21/8
- Cannot simplify further (21 and 8 have no common factors)
- Answer: 21/8

Problem 5: 16/9 + 8/9
- Same denominator (9), so add numerators: 16 + 8 = 24
- Result: 24/9
- Simplify: Both divisible by 3 → 8/3
- Answer: 8/3

Problem 6: 23/10 - 11/10
- Same denominator (10), so subtract numerators: 23 - 11 = 12
- Result: 12/10
- Simplify: Both divisible by 2 → 6/5
- Answer: 6/5

Problem 7: 20/7 - 5/7
- Same denominator (7), so subtract numerators: 20 - 5 = 15
- Result: 15/7
- Cannot simplify further
- Answer: 15/7

Problem 8: 19/12 + 5/12
- Same denominator (12), so add numerators: 19 + 5 = 24
- Result: 24/12
- Simplify: 24 ÷ 12 = 2
- Answer: 2

Problem 9: 22/15 - 17/15
- Same denominator (15), so subtract numerators: 22 - 17 = 5
- Result: 5/15
- Simplify: Both divisible by 5 → 1/3
- Answer: 1/3

Problem 10: 15/13 + 8/13
- Same denominator (13), so add numerators: 15 + 8 = 23
- Result: 23/13
- Cannot simplify further
- Answer: 23/13

Problem 11: 13/11 + 14/11
- Same denominator (11), so add numerators: 13 + 14 = 27
- Result: 27/11
- Cannot simplify further
- Answer: 27/11

Problem 12: 21/8 - 7/8
- Same denominator (8), so subtract numerators: 21 - 7 = 14
- Result: 14/8
- Simplify: Both divisible by 2 → 7/4
- Answer: 7/4

Problem 13: 9/14 + 15/14
- Same denominator (14), so add numerators: 9 + 15 = 24
- Result: 24/14
- Simplify: Both divisible by 2 → 12/7
- Answer: 12/7

Problem 14: 31/8 - 11/8
- Same denominator (8), so subtract numerators: 31 - 11 = 20
- Result: 20/8
- Simplify: Both divisible by 4 → 5/2
- Answer: 5/2

Problem 15: 23/4 - 11/4
- Same denominator (4), so subtract numerators: 23 - 11 = 12
- Result: 12/4
- Simplify: 12 ÷ 4 = 3
- Answer: 3

Problem 16: 17/5 + 9/5
- Same denominator (5), so add numerators: 17 + 9 = 26
- Result: 26/5
- Cannot simplify further
- Answer: 26/5

Problem 17: 11/6 + 13/6
- Same denominator (6), so add numerators: 11 + 13 = 24
- Result: 24/6
- Simplify: 24 ÷ 6 = 4
- Answer: 4

Problem 18: 23/10 - 7/10
- Same denominator (10), so subtract numerators: 23 - 7 = 16
- Result: 16/10
- Simplify: Both divisible by 2 → 8/5
- Answer: 8/5

Final Answer:
1) 2
2) 4/3
3) 8/3
4) 21/8
5) 8/3
6) 6/5
7) 15/7
8) 2
9) 1/3
10) 23/13
11) 27/11
12) 7/4
13) 12/7
14) 5/2
15) 3
16) 26/5
17) 4
18) 8/5