Math worksheet for dividing mixed numbers.

Let’s solve each problem step by step. We’re dividing mixed numbers, so first we’ll turn them into improper fractions, then divide by multiplying by the reciprocal.

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1) 3 3/5 ÷ 2 1/2

Convert to improper fractions:
3 3/5 = (3×5 + 3)/5 = 18/5
2 1/2 = (2×2 + 1)/2 = 5/2

Now divide:
18/5 ÷ 5/2 = 18/5 × 2/5 = (18×2)/(5×5) = 36/25 = 1 11/25

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2) 2 7/10 ÷ 3 1/3

2 7/10 = (2×10 + 7)/10 = 27/10
3 1/3 = (3×3 + 1)/3 = 10/3

27/10 ÷ 10/3 = 27/10 × 3/10 = (27×3)/(10×10) = 81/100 → already simplified → 81/100

Wait — that can’t be right? Let me check again.

Actually:
27/10 × 3/10 = 81/100 → yes, correct. But let’s see if it reduces — 81 and 100 have no common factors → 81/100

But wait — maybe I made a mistake in conversion?

2 7/10 is 27/10 — correct.
3 1/3 is 10/3 — correct.
Division: flip second fraction → multiply by 3/10 → 27/10 × 3/10 = 81/100 → yes.

So answer is 81/100

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3) 4 3/5 ÷ 4 1/3

4 3/5 = (4×5 + 3)/5 = 23/5
4 1/3 = (4×3 + 1)/3 = 13/3

23/5 ÷ 13/3 = 23/5 × 3/13 = (23×3)/(5×13) = 69/65 = 1 4/65

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4) 4 1/2 ÷ 4 1/3

4 1/2 = 9/2
4 1/3 = 13/3

9/2 ÷ 13/3 = 9/2 × 3/13 = 27/26 = 1 1/26

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5) 4 1/10 ÷ 2 1/2

4 1/10 = 41/10
2 1/2 = 5/2

41/10 ÷ 5/2 = 41/10 × 2/5 = (41×2)/(10×5) = 82/50 = simplify → divide numerator and denominator by 2 → 41/25 = 1 16/25

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6) 3 1/5 ÷ 4 2/3

3 1/5 = 16/5
4 2/3 = 14/3

16/5 ÷ 14/3 = 16/5 × 3/14 = (16×3)/(5×14) = 48/70 = simplify → divide by 2 → 24/35 → 24/35

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7) 3 3/10 ÷ 3 2/3

3 3/10 = 33/10
3 2/3 = 11/3

33/10 ÷ 11/3 = 33/10 × 3/11 = (33×3)/(10×11) = 99/110 = simplify → divide by 11 → 9/10 → 9/10

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8) 2 9/10 ÷ 3 4/5

2 9/10 = 29/10
3 4/5 = 19/5

29/10 ÷ 19/5 = 29/10 × 5/19 = (29×5)/(10×19) = 145/190 = simplify → divide by 5 → 29/38 → 29/38

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9) 4 1/5 ÷ 2 1/2

4 1/5 = 21/5
2 1/2 = 5/2

21/5 ÷ 5/2 = 21/5 × 2/5 = 42/25 = 1 17/25

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10) 2 9/10 ÷ 3 1/2

2 9/10 = 29/10
3 1/2 = 7/2

29/10 ÷ 7/2 = 29/10 × 2/7 = (29×2)/(10×7) = 58/70 = simplify → divide by 2 → 29/35 → 29/35

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Final Answer:

1) 1 11/25
2) 81/100
3) 1 4/65
4) 1 1/26
5) 1 16/25
6) 24/35
7) 9/10
8) 29/38
9) 1 17/25
10) 29/35