TOPIC ALGEBRA Subtopic Algebraic Fraction Addition and Subtraction

TOPIC: ALGEBRA Sub-topic: Algebraic Fraction ØAddition and Subtraction ØMultiplication and Division Powerpoint Templates

Simplifying Algebraic Fraction When simplifying algebraic fractions, we need to cancel common factors Example 1: Note: Cancellation can be done only after both numerator and denominator have been completely factorised

Simplifying Algebraic Fraction 1 Example 2: Simplify 1) Factorise! 1 2 a(a – 2) 2 2 a² - 4 a a a² - 2 a a-2 2) Cancelling 2 2 Perfect square (a – 2)(a + 2)

Addition & Subtraction of Algebraic Fraction The rules for working with algebraic fraction are the same as for ordinary fraction Example 1: 1) Find LCM of 3 and 4 3 3, 4 4 1, 1 LCM = 3 X 4 = 12 Expand Simplify

Addition & Subtraction of Algebraic Fraction Example 2: 1) Find LCM of 3 y and 4 x 3 3 y, 4 x 4 y, 4 x x y, x y y, 1 1, 1 LCM = 12 xy

Addition & Subtraction of Algebraic Fraction Example 3: 1) Find LCM of (x+2) and (7 z-3) (x+2), (7 z-3) 1, 1 LCM = (x+2)(7 z-3) Expand Simplify

Multiplication of Algebraic fraction The rules for working with algebraic fraction are the same as for ordinary fraction Example 1: Simplify 2) Simplify

Multiplication of Algebraic fraction The rules for working with algebraic fraction are the same as for ordinary fraction Example 3: Simplify Note: Cancellation can be done only after both numerator and denominator have been completely factorised

Multiplication of Algebraic Fraction Example 3: 1 2 3 1 FACTORISE! 4 4 x-4 y x-y 4(x-y) 2 6 12 x-6 y 2 x-y 3 6(2 x-y) Perfect square (x-y)(x+y) Cancelling

Division of Algebraic fraction The rules for working with algebraic fraction are the same as for ordinary fraction Example 1: Simplify Upside-down, change operation to multiplication, Factorise, Canceling

Division of Algebraic Fraction Example 2: Factorise! Cancelling Upside-down, change operation to multiplication, Factorise, Canceling