Let’s solve each problem step by step. We’re multiplying mixed numbers and whole numbers. The trick is to turn the mixed number into an improper fraction first, then multiply, and simplify if needed.
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1) 6 2/3 × 9
Step 1: Convert 6 2/3 to improper fraction → (6×3 + 2)/3 = 20/3
Step 2: Multiply 20/3 × 9 = (20 × 9)/3 = 180/3 =
60
✔ Final Answer:
60
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2) 7 × 1 2/9
Step 1: Convert 1 2/9 → (1×9 + 2)/9 = 11/9
Step 2: Multiply 7 × 11/9 = 77/9
Step 3: Convert back to mixed number → 77 ÷ 9 = 8 remainder 5 →
8 5/9
✔ Final Answer:
8 5/9
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3) 11 × 2 2/7
Step 1: Convert 2 2/7 → (2×7 + 2)/7 = 16/7
Step 2: Multiply 11 × 16/7 = 176/7
Step 3: 176 ÷ 7 = 25 remainder 1 →
25 1/7
✔ Final Answer:
25 1/7
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4) 2 1/4 × 8
Step 1: Convert 2 1/4 → (2×4 + 1)/4 = 9/4
Step 2: Multiply 9/4 × 8 = 72/4 =
18
✔ Final Answer:
18
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5) 10 9/10 × 10
Step 1: Convert 10 9/10 → (10×10 + 9)/10 = 109/10
Step 2: Multiply 109/10 × 10 = 1090/10 =
109
✔ Final Answer:
109
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6) 6 × 1 7/12
Step 1: Convert 1 7/12 → (1×12 + 7)/12 = 19/12
Step 2: Multiply 6 × 19/12 = 114/12
Step 3: Simplify → divide numerator and denominator by 6 → 19/2 → convert to mixed: 9 1/2
✔ Final Answer:
9 1/2
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7) 2 × 3 2/9
Step 1: Convert 3 2/9 → (3×9 + 2)/9 = 29/9
Step 2: Multiply 2 × 29/9 = 58/9
Step 3: 58 ÷ 9 = 6 remainder 4 →
6 4/9
✔ Final Answer:
6 4/9
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8) 2 3/5 × 15
Step 1: Convert 2 3/5 → (2×5 + 3)/5 = 13/5
Step 2: Multiply 13/5 × 15 = 195/5 =
39
✔ Final Answer:
39
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9) 2 5/6 × 12
Step 1: Convert 2 5/6 → (2×6 + 5)/6 = 17/6
Step 2: Multiply 17/6 × 12 = 204/6 =
34
✔ Final Answer:
34
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10) 4 × 7 1/2
Step 1: Convert 7 1/2 → (7×2 + 1)/2 = 15/2
Step 2: Multiply 4 × 15/2 = 60/2 =
30
✔ Final Answer:
30
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11) 5 × 3 7/8
Step 1: Convert 3 7/8 → (3×8 + 7)/8 = 31/8
Step 2: Multiply 5 × 31/8 = 155/8
Step 3: 155 ÷ 8 = 19 remainder 3 →
19 3/8
✔ Final Answer:
19 3/8
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12) 1 10/11 × 2
Step 1: Convert 1 10/11 → (1×11 + 10)/11 = 21/11
Step 2: Multiply 21/11 × 2 = 42/11
Step 3: 42 ÷ 11 = 3 remainder 9 →
3 9/11
✔ Final Answer:
3 9/11
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Final Answer:
1) 60
2) 8 5/9
3) 25 1/7
4) 18
5) 109
6) 9 1/2
7) 6 4/9
8) 39
9) 34
10) 30
11) 19 3/8
12) 3 9/11
Parent Tip: Review the logic above to help your child master the concept of mixed number multiplied by fractions worksheet.
