Multiplication of Fractions with Mixed Numbers

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Presentation transcript:

Multiplication of Fractions with Mixed Numbers By: Tawauna Stewart

OBJECTIVE MULTIPLYING MIXED NUMBERS Tawauna Stewart

x 3 4 9 5 6 12 36 30 Tawauna Stewart

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! Tawauna Stewart

How to Find a Fraction of a Mixed Number The first thing to remember is “of” means multiply in mathematics. of x = Tawauna Stewart

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 Tawauna Stewart

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 Tawauna Stewart

How to Find a Fraction of a Mixed Number Step 3 – Multiply the numerators straight across. 1 31 31 x = 2 9 Tawauna Stewart

How to Find a Fraction of a Mixed Number Step 4 – Multiply the denominators straight across. 1 31 31 x = 2 9 18 Tawauna Stewart

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 Tawauna Stewart

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 Tawauna Stewart

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 Tawauna Stewart

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 Tawauna Stewart

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 Tawauna Stewart

x 2 6 1 9 7 4 22 30 27 NOW LET'S TRY SOME MORE! FOLLOW ALL THE STEPS! Tawauna Stewart

x 3 7 2 5 34 54 35 Tawauna Stewart

x 5 6 2 4 8 13 38 15 Tawauna Stewart

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. Tawauna Stewart