Worksheet for practicing addition of mixed numbers and fractions.

Let’s solve each problem step by step. We’re adding mixed numbers and fractions. The key is to:

1. Add the whole numbers first (if there are any).
2. Then add the fractions — but only if they have the same denominator. If not, we need to find a common denominator.
3. Simplify if needed.

But looking at all these problems, every fraction being added has the same denominator as the other fraction in that problem! So we don’t need to change denominators — just add numerators.

Also, when you add two fractions with the same denominator, you keep the denominator and add the numerators.

If the result of the fraction part is an improper fraction (numerator ≥ denominator), convert it to a mixed number and add the whole number part to the total.

Let’s go one by one.

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Problem 1: 4/7 + 1/7

Same denominator → add numerators: 4 + 1 = 5
Answer: 5/7

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Problem 2: 4/5 + 2/5

4 + 2 = 6 → 6/5
6/5 is improper → 6 ÷ 5 = 1 remainder 1 → 1 1/5

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Problem 3: 4 3/8 + 2/8

Whole number: 4
Fractions: 3/8 + 2/8 = 5/8
Total: 4 5/8

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Problem 4: 9 5/12 + 7/12

Whole number: 9
Fractions: 5/12 + 7/12 = 12/12 = 1
So 9 + 1 = 10

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Problem 5: 5 2/7 + 4/7

Whole number: 5
Fractions: 2/7 + 4/7 = 6/7
Total: 5 6/7

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Problem 6: 1/2 + 3/2

1 + 3 = 4 → 4/2 = 2

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Problem 7: 10 1/6 + 4/6

Whole number: 10
Fractions: 1/6 + 4/6 = 5/6
Total: 10 5/6

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Problem 8: 5/2 + 3/2

5 + 3 = 8 → 8/2 = 4

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Problem 9: 1/4 + 1/4

1 + 1 = 2 → 2/4 = simplify → divide numerator and denominator by 2 → 1/2

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Problem 10: 3/9 + 4/9

3 + 4 = 7 → 7/9 (already simplified)

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Problem 11: 12 5/11 + 6/11

Whole number: 12
Fractions: 5/11 + 6/11 = 11/11 = 1
So 12 + 1 = 13

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Problem 12: 6/8 + 3/8

6 + 3 = 9 → 9/8
9/8 = 1 1/8 → 1 1/8

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Now let’s write all answers clearly.

Final Answer:
1. 5/7
2. 1 1/5
3. 4 5/8
4. 10
5. 5 6/7
6. 2
7. 10 5/6
8. 4
9. 1/2
10. 7/9
11. 13
12. 1 1/8