Math worksheet for practicing subtraction of mixed numbers with fractions.

Sure! Let’s solve each of these subtracting mixed numbers problems step by step. The key is to:

1. Convert mixed numbers to improper fractions (optional, but helpful for some).
2. Find a common denominator for the fractional parts.
3. Subtract the whole numbers and fractions separately, or borrow if needed.
4. Simplify the result if possible.

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Problem 1:

2 4/9 – 1 4/6

First, simplify 4/6 → 2/3.
Now we have: 2 4/9 – 1 2/3

Common denominator of 9 and 3 is 9.

Convert 2/3 → 6/9

So:
2 4/9 – 1 6/9 → We can’t subtract 6/9 from 4/9, so borrow 1 from the 2.

→ 1 13/9 – 1 6/9 = 0 7/9 = 7/9

✔ Answer: 7/9

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Problem 2:

9 1/2 – 5 1/4

Common denominator of 2 and 4 is 4.

1/2 = 2/4

So:
9 2/4 – 5 1/4 = (9–5) + (2/4 – 1/4) = 4 + 1/4 = 4 1/4

✔ Answer: 4 1/4

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Problem 3:

7 1/3 – 4 1/6

Common denominator of 3 and 6 is 6.

1/3 = 2/6

So:
7 2/6 – 4 1/6 = (7–4) + (2/6 – 1/6) = 3 + 1/6 = 3 1/6

✔ Answer: 3 1/6

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Problem 4:

7 1/2 – 3 5/6

Common denominator of 2 and 6 is 6.

1/2 = 3/6

So:
7 3/6 – 3 5/6 → Can’t subtract 5/6 from 3/6 → borrow 1 from 7.

→ 6 9/6 – 3 5/6 = (6–3) + (9/6 – 5/6) = 3 + 4/6 = 3 2/3

✔ Answer: 3 2/3

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Problem 5:

11 3/4 – 5 1/4

Same denominator → easy!

(11–5) + (3/4 – 1/4) = 6 + 2/4 = 6 1/2

✔ Answer: 6 1/2

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Problem 6:

8 2/4 – 2 3/20

First, simplify 2/4 → 1/2

So: 8 1/2 – 2 3/20

Common denominator of 2 and 20 is 20

1/2 = 10/20

So:
8 10/20 – 2 3/20 = (8–2) + (10/20 – 3/20) = 6 + 7/20 = 6 7/20

✔ Answer: 6 7/20

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Problem 7:

12 2/3 – 4 3/6

Simplify 3/6 → 1/2

So: 12 2/3 – 4 1/2

Common denominator of 3 and 2 is 6

2/3 = 4/6, 1/2 = 3/6

So:
12 4/6 – 4 3/6 = (12–4) + (4/6 – 3/6) = 8 + 1/6 = 8 1/6

✔ Answer: 8 1/6

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Problem 8:

5 2/5 – 4 1/6

Common denominator of 5 and 6 is 30

2/5 = 12/30, 1/6 = 5/30

So:
5 12/30 – 4 5/30 = (5–4) + (12/30 – 5/30) = 1 + 7/30 = 1 7/30

✔ Answer: 1 7/30

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Problem 9:

6 4/5 – 3 3/8

Common denominator of 5 and 8 is 40

4/5 = 32/40, 3/8 = 15/40

So:
6 32/40 – 3 15/40 = (6–3) + (32/40 – 15/40) = 3 + 17/40 = 3 17/40

✔ Answer: 3 17/40

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Problem 10:

9 2/3 – 6 1/11

Common denominator of 3 and 11 is 33

2/3 = 22/33, 1/11 = 3/33

So:
9 22/33 – 6 3/33 = (9–6) + (22/33 – 3/33) = 3 + 19/33 = 3 19/33

✔ Answer: 3 19/33

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## ✔ Final Answers:

1. 7/9
2. 4 1/4
3. 3 1/6
4. 3 2/3
5. 6 1/2
6. 6 7/20
7. 8 1/6
8. 1 7/30
9. 3 17/40
10. 3 19/33

Let me know if you’d like to see any problem solved with visual diagrams or step-by-step borrowing illustrations!