S4_3_Alegbraic_Fractions_Ch6

# S4_3_Alegbraic_Fractions_Ch6 - www.mathsrevision.com S4...

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Unformatted text preview: www.mathsrevision.com S4 credit www.mathsrevision.com www.mathsrevision.com Equivalent and Simplifying Fractions Adding Fractions www.mathsrevision.com Multiplying Fractions Algebraic Fractions Dividing Fractions Subtracting Fractions www.mathsrevision.com S4 credit 13 Feb 2012 13 Feb 2012 Compiled by Mr. Lafferty Maths Dept. Compiled by Mr. Lafferty Maths Dept. S3 Starter Questions S3 Starter Questions www.mathsrevision.com 2 2 2 4 , 3 2 24 16 3 1 1 5 2 7 4 8 8 2 z q and r q y y z r = = =- + = + 1. True or f alse 2. I f . Find 3. Factorise www.mathsrevision.com S4 credit www.mathsrevision.com www.mathsrevision.com www.mathsrevision.com Learning Intention Learning Intention Success Criteria Success Criteria 1. To explain how to simplify algebraic fractions. 1. 1. Understand term Understand term Highest Common Factor. Highest Common Factor. Algebraic Fractions 2. 2. Simplify algebraic fractions by Simplify algebraic fractions by identifying HCF. identifying HCF. www.mathsrevision.com S4 credit www.mathsrevision.com www.mathsrevision.com Equivalent Fractions We already know how to create an equivalent fraction for numerical fractions. The exact same process is used for algebraic fractions . Numerical Fraction 1 2 2 4 = 3 6 = Algebraic Fraction Multiply top and bottom by any number 5 7 10 14 = 50 70 = Multiply top and bottom by any number or letter 1 x 2 2 = x = y xy 3 ( 1) + x 6 2( 1) = + x 3 ( 1) = + f f x www.mathsrevision.com S4 credit www.mathsrevision.com www.mathsrevision.com Equivalent Fractions Numerical Fraction 1 2 1 3 6 Algebraic Fraction 5 7 1 2 14 1 x 1 y xy 3 ( 1) + x 6 2 y 2 ( 1) y x + Common Denominator for 2 fractions www.mathsrevision.com S4 credit www.mathsrevision.com www.mathsrevision.com We can sometimes reduce fractions to a simpler form if the numerator and denominator have a number or letter in common. Examples 12 15 3 4 3 5 = 4 5 = HCF = 3 2 y y y y y = 1 y y = = HCF = Y Algebraic Fractions www.mathsrevision.com S4 credit www.mathsrevision.com www.mathsrevision.com Examples 2 2 6 b b 2 6 b b b = 1 3 b = 3 2 a a a a a a a = 1 a a = = 3 1 1 1 1 1 1 1 4 12 pq q 4 12 = pq q 3 = p 2 2 3 12 2 e f ef 2 2 3 12 2 = e f ef 6 = e f 3 1 1 1 1 6 1 1 1 1 Algebraic Fractions www.mathsrevision.comwww....
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## This note was uploaded on 02/13/2012 for the course MAT 1117 MAT 117 taught by Professor White during the Spring '09 term at University of Phoenix.

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S4_3_Alegbraic_Fractions_Ch6 - www.mathsrevision.com S4...

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