Adding and Subtracting Fractions with Like Denominators worksheet - Free Printable

Sure! Let’s solve each of these Adding Mixed Numbers problems step by step. The general method is:

1. Add the whole numbers together.
2. Add the fractions together. If they have different denominators, find a common denominator first.
3. If the fraction sum is improper (≥ 1), convert it to a mixed number and add the whole part to the total.
4. Simplify the final fraction if needed.

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Problem 1:

4 1/8 + 2 4/5

- Whole numbers: 4 + 2 = 6
- Fractions: 1/8 + 4/5 → LCD of 8 and 5 is 40
- 1/8 = 5/40
- 4/5 = 32/40
- Sum: 5/40 + 32/40 = 37/40
- Final answer: 6 37/40

✔ Answer: 6 37/40

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Problem 2:

3 1/6 + 7 1/4

- Whole numbers: 3 + 7 = 10
- Fractions: 1/6 + 1/4 → LCD of 6 and 4 is 12
- 1/6 = 2/12
- 1/4 = 3/12
- Sum: 2/12 + 3/12 = 5/12
- Final answer: 10 5/12

✔ Answer: 10 5/12

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Problem 3:

5 7/9 + 8 1/3

- Whole numbers: 5 + 8 = 13
- Fractions: 7/9 + 1/3 → LCD of 9 and 3 is 9
- 1/3 = 3/9
- Sum: 7/9 + 3/9 = 10/9 → Improper → 1 1/9
- Add whole part: 13 + 1 = 14, fraction = 1/9
- Final answer: 14 1/9

✔ Answer: 14 1/9

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Problem 4:

9 8/9 + 4 1/5

- Whole numbers: 9 + 4 = 13
- Fractions: 8/9 + 1/5 → LCD of 9 and 5 is 45
- 8/9 = 40/45
- 1/5 = 9/45
- Sum: 40/45 + 9/45 = 49/45 → Improper → 1 4/45
- Add whole part: 13 + 1 = 14, fraction = 4/45
- Final answer: 14 4/45

✔ Answer: 14 4/45

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Problem 5:

5 2/3 + 2 4/5

- Whole numbers: 5 + 2 = 7
- Fractions: 2/3 + 4/5 → LCD of 3 and 5 is 15
- 2/3 = 10/15
- 4/5 = 12/15
- Sum: 10/15 + 12/15 = 22/15 → Improper → 1 7/15
- Add whole part: 7 + 1 = 8, fraction = 7/15
- Final answer: 8 7/15

✔ Answer: 8 7/15

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Problem 6:

8 7/10 + 8 5/8

- Whole numbers: 8 + 8 = 16
- Fractions: 7/10 + 5/8 → LCD of 10 and 8 is 40
- 7/10 = 28/40
- 5/8 = 25/40
- Sum: 28/40 + 25/40 = 53/40 → Improper → 1 13/40
- Add whole part: 16 + 1 = 17, fraction = 13/40
- Final answer: 17 13/40

✔ Answer: 17 13/40

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Problem 7:

11 8/9 + 5 1/4

- Whole numbers: 11 + 5 = 16
- Fractions: 8/9 + 1/4 → LCD of 9 and 4 is 36
- 8/9 = 32/36
- 1/4 = 9/36
- Sum: 32/36 + 9/36 = 41/36 → Improper → 1 5/36
- Add whole part: 16 + 1 = 17, fraction = 5/36
- Final answer: 17 5/36

✔ Answer: 17 5/36

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Problem 8:

7 1/3 + 11 1/2

- Whole numbers: 7 + 11 = 18
- Fractions: 1/3 + 1/2 → LCD of 3 and 2 is 6
- 1/3 = 2/6
- 1/2 = 3/6
- Sum: 2/6 + 3/6 = 5/6
- Final answer: 18 5/6

✔ Answer: 18 5/6

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Problem 9:

15 5/6 + 8 3/8

- Whole numbers: 15 + 8 = 23
- Fractions: 5/6 + 3/8 → LCD of 6 and 8 is 24
- 5/6 = 20/24
- 3/8 = 9/24
- Sum: 20/24 + 9/24 = 29/24 → Improper → 1 5/24
- Add whole part: 23 + 1 = 24, fraction = 5/24
- Final answer: 24 5/24

✔ Answer: 24 5/24

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Problem 10:

12 3/7 + 6 5/6

- Whole numbers: 12 + 6 = 18
- Fractions: 3/7 + 5/6 → LCD of 7 and 6 is 42
- 3/7 = 18/42
- 5/6 = 35/42
- Sum: 18/42 + 35/42 = 53/42 → Improper → 1 11/42
- Add whole part: 18 + 1 = 19, fraction = 11/42
- Final answer: 19 11/42

✔ Answer: 19 11/42

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## ✔ Final Answers:

1. 6 37/40
2. 10 5/12
3. 14 1/9
4. 14 4/45
5. 8 7/15
6. 17 13/40
7. 17 5/36
8. 18 5/6
9. 24 5/24
10. 19 11/42

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