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Fractions XIVFractions XIVMultiplication of Multiplication of
FractionsFractions
Created by: Mrs. YuskaitisCreated by: Mrs. YuskaitisPresented by: Mr. McCarthyPresented by: Mr. McCarthy
Times You Would Multiply a Times You Would Multiply a Fraction Times a FractionFraction Times a Fraction
Your family eats 1/8 of 1/2 of Your family eats 1/8 of 1/2 of a left a left over wedding cake. over wedding cake.
1/8 of 1/2 or 1/8 x 1/21/8 of 1/2 or 1/8 x 1/2
Times You Would Multiply a Times You Would Multiply a Fraction Times a FractionFraction Times a Fraction
Jose had already read 1/2 of his Jose had already read 1/2 of his novel. Today he read 1/12 of the novel. Today he read 1/12 of the 1/2 left. How much of the book has 1/2 left. How much of the book has he read?he read?
1/12 of 1/2 or 1/12 x 1/21/12 of 1/2 or 1/12 x 1/2
Multiplying FractionsMultiplying FractionsConceptual UnderstandingConceptual Understanding
When you multiply two fractions When you multiply two fractions that are between 0 and 1 the that are between 0 and 1 the product is smaller than both product is smaller than both fractions.fractions.
½ x ¾ = 3/8 Look at the diagram on the next slide to understand why.
Multiplying FractionsMultiplying FractionsConceptual UnderstandingConceptual Understanding
½ x ¾ = 3/8 ¼ ¼ ¼ ¼
1/8 1/8 1/8
How to Find a Fraction How to Find a Fraction of a Fractionof a Fraction
The first thing to remember is “of” The first thing to remember is “of” means multiply in mathematics.means multiply in mathematics.
of = x
How to Find a Fraction How to Find a Fraction of a Fractionof a Fraction
Step 1 - When you see a fraction problem Step 1 - When you see a fraction problem you know when you read “of” in the you know when you read “of” in the problem you multiply.problem you multiply.
ofx12
49
How to Find a Fraction of a How to Find a Fraction of a FractionFraction
Step 2 – Multiply your Step 2 – Multiply your numerators straight across.numerators straight across.
x 49
12 = 4
How to Find a Fraction of a How to Find a Fraction of a FractionFraction
Step 3 – Then multiply your Step 3 – Then multiply your denominators straight across.denominators straight across.
x 49
12 = 4
18
How to Find the Fraction How to Find the Fraction of a Fractionof a Fraction
Step 4 – Simplify your answer. Step 4 – Simplify your answer. In this case we reduce.In this case we reduce.
x 49
12 = 4
18÷÷
22= 2
9
Multiply and SimplifyMultiply and Simplify
95
16
= 930 10
3ofx ÷÷
33
=
Multiply and SimplifyMultiply and Simplify
34
89
= 2436 3
2ofx ÷÷1212
=
Multiply and SimplifyMultiply and Simplify
43
72 = 28
6 6)284ofx
2444 4
6÷÷22 = 2
34
Multiply and SimplifyMultiply and Simplify
92
34 = 27
8 8)273ofx
243
38
Multiply and SimplifyMultiply and Simplify
82
73 = 56
6 6)569ofx
542
26
9 26
÷ 22
=9 13÷
Multiply and SimplifyMultiply and Simplify
34
42 = 12
8 8)121ofx84
48
1 48
÷ 44
= 1 12÷
Super job!
CreditsCredits
Clipart from “Microsoft Clip Gallery” located on the Internet at http://cgl.microsoft.com/clipgallerylive/default.asp