Multiplying Mixed Fractions Sheet 3 - A math worksheet for practicing multiplication of mixed fractions, with an example and eight problems, from Math-Salamanders.com.

Let’s solve each problem step by step. Remember: to multiply mixed fractions, first turn them into improper fractions. Then multiply the numerators and denominators. Finally, simplify if needed — but leave as an improper fraction unless it can be simplified to a whole number or smaller fraction.

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1) 2 1/2 × 4/5

Step 1: Convert 2 1/2 to improper → (2×2 + 1)/2 = 5/2
Step 2: Multiply: 5/2 × 4/5 = (5×4)/(2×5) = 20/10
Step 3: Simplify: 20 ÷ 10 = 2 → 2

Wait — 20/10 simplifies to 2, which is a whole number. That’s fine! The instructions say “leave as improper where applicable” — but if it simplifies to a whole number, that’s acceptable.

✔ Final Answer for #1: 2

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2) 1 3/4 × 3/5

Step 1: Convert 1 3/4 → (1×4 + 3)/4 = 7/4
Step 2: Multiply: 7/4 × 3/5 = (7×3)/(4×5) = 21/20
Step 3: Can we simplify? 21 and 20 have no common factors → already simplest form.

✔ Final Answer for #2: 21/20

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3) 4 1/2 × 5/6

Step 1: Convert 4 1/2 → (4×2 + 1)/2 = 9/2
Step 2: Multiply: 9/2 × 5/6 = (9×5)/(2×6) = 45/12
Step 3: Simplify: Both divisible by 3 → 45÷3=15, 12÷3=4 → 15/4

✔ Final Answer for #3: 15/4

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4) 2 2/7 × 3

Step 1: Convert 2 2/7 → (2×7 + 2)/7 = 16/7
Step 2: Write 3 as 3/1 → 16/7 × 3/1 = (16×3)/(7×1) = 48/7
Step 3: 48 and 7 have no common factors → already simplest.

✔ Final Answer for #4: 48/7

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5) 2/7 × 3 1/5

Step 1: Convert 3 1/5 → (3×5 + 1)/5 = 16/5
Step 2: Multiply: 2/7 × 16/5 = (2×16)/(7×5) = 32/35
Step 3: 32 and 35 share no common factors → done.

✔ Final Answer for #5: 32/35

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6) 8 1/2 × 2/11

Step 1: Convert 8 1/2 → (8×2 + 1)/2 = 17/2
Step 2: Multiply: 17/2 × 2/11 = (17×2)/(2×11) = 34/22
Step 3: Simplify: divide numerator and denominator by 2 → 17/11

✔ Final Answer for #6: 17/11

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7) 5/12 × 4 2/3

Step 1: Convert 4 2/3 → (4×3 + 2)/3 = 14/3
Step 2: Multiply: 5/12 × 14/3 = (5×14)/(12×3) = 70/36
Step 3: Simplify: both divisible by 2 → 35/18

✔ Final Answer for #7: 35/18

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8) 2 1/5 × 5 1/2

Step 1: Convert 2 1/5 → (2×5 + 1)/5 = 11/5
Step 2: Convert 5 1/2 → (5×2 + 1)/2 = 11/2
Step 3: Multiply: 11/5 × 11/2 = (11×11)/(5×2) = 121/10
Step 4: 121 and 10 share no common factors → done.

✔ Final Answer for #8: 121/10

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Final Answer:
1) 2
2) 21/20
3) 15/4
4) 48/7
5) 32/35
6) 17/11
7) 35/18
8) 121/10