Math worksheet featuring ten problems focused on multiplying mixed numbers.

Let’s solve each problem step by step. We’re multiplying mixed numbers, so first we’ll turn them into improper fractions, multiply, then simplify and convert back to a mixed number if needed.

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1) 2½ × 2⅔

Step 1: Convert to improper fractions
2½ = (2×2 + 1)/2 = 5/2
2⅔ = (2×3 + 2)/3 = 8/3

Step 2: Multiply
(5/2) × (8/3) = (5×8)/(2×3) = 40/6

Step 3: Simplify
40 ÷ 2 = 20, 6 ÷ 2 = 3 → 20/3
Convert to mixed number: 20 ÷ 3 = 6 with remainder 2 → 6⅔

✔ Final Answer for #1: 6⅔

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2) 3½ × 4¼

Step 1: Convert
3½ = (3×2 + 1)/2 = 7/2
4¼ = (4×4 + 1)/4 = 17/4

Step 2: Multiply
(7/2) × (17/4) = (7×17)/(2×4) = 119/8

Step 3: Convert to mixed number
119 ÷ 8 = 14 with remainder 7 → 14⅞

✔ Final Answer for #2: 14⅞

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3) 3⁴⁄₅ × 2½

Step 1: Convert
3⁴⁄ = (3×5 + 4)/5 = 19/5
2½ = 5/2

Step 2: Multiply
(19/5) × (5/2) = (19×5)/(5×2) = 95/10

Step 3: Simplify
Divide numerator and denominator by 5 → 19/2
Convert to mixed number: 19 ÷ 2 = 9 with remainder 1 → 9½

✔ Final Answer for #3: 9½

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4) 4⁹⁄₁₀ × 2¾

Step 1: Convert
4⁹⁄₁₀ = (4×10 + 9)/10 = 49/10
2¾ = (2×4 + 3)/4 = 11/4

Step 2: Multiply
(49/10) × (11/4) = (49×11)/(10×4) = 539/40

Step 3: Convert to mixed number
539 ÷ 40 = 13 with remainder 19 → 13¹⁹⁄₄₀

✔ Final Answer for #4: 13¹⁹⁄₄₀

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5) 3½ × 2½

Step 1: Convert
3½ = 7/2
2½ = 5/2

Step 2: Multiply
(7/2) × (5/2) = 35/4

Step 3: Convert to mixed number
35 ÷ 4 = 8 with remainder 3 → 8¾

✔ Final Answer for #5: 8¾

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6) 2½ × 4⅕

Step 1: Convert
2½ = 5/2
4⅕ = (4×5 + 1)/5 = 21/5

Step 2: Multiply
(5/2) × (21/5) = (5×21)/(2×5) = 105/10

Step 3: Simplify
Divide numerator and denominator by 5 → 21/2
Convert to mixed number: 21 ÷ 2 = 10 with remainder 1 → 10½

✔ Final Answer for #6: 10½

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7) 3⁴⁄₅ × 2²⁄₅

Step 1: Convert
3⁴⁄ = 19/5
2²⁄₅ = (2×5 + 2)/5 = 12/5

Step 2: Multiply
(19/5) × (12/5) = (19×12)/(5×5) = 228/25

Step 3: Convert to mixed number
228 ÷ 25 = 9 with remainder 3 → 9³⁄₂₅

✔ Final Answer for #7: 9³⁄₂₅

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8) 4⁴⁄₅ × 4²⁄₃

Step 1: Convert
4⁴⁄ = (4×5 + 4)/5 = 24/5
4²⁄₃ = (4×3 + 2)/3 = 14/3

Step 2: Multiply
(24/5) × (14/3) = (24×14)/(5×3) = 336/15

Step 3: Simplify
Divide numerator and denominator by 3 → 112/5
Convert to mixed number: 112 ÷ 5 = 22 with remainder 2 → 22⅖

✔ Final Answer for #8: 22⅖

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9) 4⁴⁄₅ × 2½

Step 1: Convert
4⁴⁄₅ = 24/5
2½ = 5/2

Step 2: Multiply
(24/5) × (5/2) = (24×5)/(5×2) = 120/10 = 12

✔ Final Answer for #9: 12

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10) 3¾ × 4⁴⁄₅

Step 1: Convert
3¾ = (3×4 + 3)/4 = 15/4
4⁴⁄₅ = (4×5 + 4)/5 = 24/5

Step 2: Multiply
(15/4) × (24/5) = (15×24)/(4×5) = 360/20 = 18

✔ Final Answer for #10: 18

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Final Answer:
1) 6⅔
2) 14⅞
3) 9½
4) 13¹⁹⁄₄₀
5) 8¾
6) 10½
7) 9³⁄₂₅
8) 22⅖
9) 12
10) 18