1. Multiplication of Fractions with Mixed Numbers
By: Tawauna Stewart

2. OBJECTIVE
MULTIPLYING MIXED NUMBERS
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3. x 3 4 9 5 6 12 36 30
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4. This is NOT the correct procedure!
MISCONCEPTION
When multiplying mixed numbers, most people multiply the whole numbers and fractions separately.
This is NOT the correct procedure!
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5. How to Find a Fraction of a Mixed Number
The first thing to remember is “of” means multiply in mathematics. of x =
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6. How to Find a Fraction of a Mixed Number
Step 1 - When you see a fraction problem you know when you read “of” in the problem you multiply. 1 4 x of 3 2 9
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7. How to Find a Fraction of a Mixed Number
Step 2 – Change the mixed number to an improper fraction.
27 + 4 1 4 31 + x 3 2 9 9 x 27
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8. How to Find a Fraction of a Mixed Number
Step 3 – Multiply the numerators straight across. 1 31 31 x = 2 9
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9. How to Find a Fraction of a Mixed Number
Step 4 – Multiply the denominators straight across. 1 31 31 x = 2 9 18
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10. How to Find a Fraction of a Mixed Number
Step 5 – Simplify your answer. In this case change the improper fraction to a mixed number. 13 1 18 1 31 31
18) 31 x = 2 9 18 18 13
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11. 4 39 39 1 5 4 7 7 28 1 28) 39 x = 11 28 + x Multiply and Simplify
35 + 4 4 39 39 1 + x 5 = 4 x 7 7 28 35 11 1 28
28) 39
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12. Multiply and Simplify
27 + 1 1 28
112 4 + x 3 = 7 x 9 9 63 27 1 49 7 7 ÷ = 63 7 9
63) ÷
112
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13. Multiply and Simplify
24 + 3 3 27
108 4 + x 6 = 4 4 20 5 x 24 8 4 2 5 ÷ = 20 4 5 ÷
20)
108
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14. Multiply and Simplify
You’re
shining!
24 + 1 1 25 50 2 + x 6 = 4 4 20 5 x 24 2 10 10 1 ÷ = 20 10 2
20) ÷ 50
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15. x 2 6 1 9 7 4 22 30 27 NOW LET'S TRY SOME MORE! FOLLOW ALL THE STEPS!
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16. x 3 7 2 5 34 54 35
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17. x 5 6 2 4 8 13 38 15
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18. What concepts are necessary to know when multiplying fractions.
Compare and contrast adding/subtracting fractions and multiplying fractions.
What concepts are necessary to know when multiplying fractions.
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