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Revision - Algebraic Fractions Numerical and Algebraic Fraction Operations. By I Porter Addition & Subtraction

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Card2 Numerical Operation Revision Addition a) Find a common denominator. 3 x 5 = 15 easiest. Same denominator, add the numerators. Reduce the fraction. Subtraction b) Find a common denominator. 6 x 4 = 24 easiest. Same denominator, subtract the numerators. But if we factorise the two denominators, 6 = 2 x 3 and 4 = 2 x 2, they have a common factor 2. This gives the L.C.M as 2 x 3 x 2 = 12 Hence, multiply each fraction by So that the denominators are the same.

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Card3 Simple Algebraic Fractions Simplify the following a) Find L.C.M. of denominators. Factorise the two denominators, 6b = 2 x 3 x b and 4c = 2 x 2 x c, they have a common factor 2. So that the denominator are equal. Add the numerators. The L.C.M. is 2 x 3 x 2 x b x c = 12bc. Hence, multiply the first fraction by the second fraction by

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Card4 b) Find L.C.M. of denominators. Factorise the two denominators, they have a common factor 3c. So that the denominator are equal. Subtract the numerators. Simplify the following The L.C.M. is 6ac. Hence, multiply the first fraction by second fraction by

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Card5 Simplification of Addition and Subtraction of Algebraic Fractions. Factorise the numerator and denominator FIRST Find the common denominator L.C.M. Convert each fraction to the same denominator by a suitable multiplier. Examples: Simplify a) Factorise top and bottom. LCM = (x+2)(x-2) Leave denominator & numerator in factoise form. Convert to same denominator. Multiply the second fraction by

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Card6 b) Factorise top and bottom. LCM = x(x+2)(x-2) Leave denominator & numerator in factoise form. Examples: Simplify Convert to same denominator. multiply the first fraction by multiply the second fraction by

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Card7 Your Example: Simplify the following Factorise denominators as (x-2)(x-3) and (x-2)(x+4) The LCM is (x-2)(x-3)(x+4). Rearrange, some student would write down the next line of working. Write as a single denominator, expand the numerator(s) Clean up the numerator. Multiply first fraction by and second fraction by [Click the mouse button for hints]

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Card8 Exercise: Simplify the following

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Algebraic Fractions Know your rules Anything raised to the 0 power = 1 Negative exponents can be moved to the opposite and made positive (that is,

Algebraic Fractions Know your rules Anything raised to the 0 power = 1 Negative exponents can be moved to the opposite and made positive (that is,

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