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Algebraic Fractions

Algebraic Fractions. Simplifying. What is to be learned?. What an algebraic fraction is How to simplify algebraic fractions. Fractions with Letters and Numbers Follow the same rules as normal fractions. Simplifying Normal Fractions. 6 9 Must divide top and bottom by the same. ÷ 3.

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Algebraic Fractions

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  1. Algebraic Fractions Simplifying

  2. What is to be learned? • What an algebraic fraction is • How to simplify algebraic fractions

  3. Fractions with Letters and Numbers Follow the same rules as normal fractions

  4. Simplifying Normal Fractions 6 9 Must divide top and bottom by the same ÷ 3 = 2 3 ÷ 3

  5. Dividing By Letters 6 X h = 6h 6h ÷ h = 6 5 t ÷ t = 5 a b 4 ÷ b = 4a 7mp ÷mp = 7

  6. Simplifying algebraic fraction 4h ah 4h ah h is common factor ÷ h = 4 ÷ h a

  7. Handy Hint y2 ÷ y y X y ÷ y = y

  8. Ex 2 dt is highest common factor 5dt2 3dt ÷ dt = 5t ÷ dt 3

  9. Ex 3 (tricky!) 15abg 10a2b ÷ 5ab = 3g ÷ 5ab 2a

  10. Cancelling = 7 7a 4am 4m 3mp = p a 3am 3 9r2 = 3r 6r 2 2

  11. Using Cancelling 3 18ad2ek 12adky 3de 2y 2

  12. Algebraic Fractions • Fractions with letters and numbers • Same rules as normal fractions Dividing by letters 5a ÷ a 7t2 ÷ t = 5 = 7t

  13. Method 1 3t is highest common factor 9pt2 6dt ÷ 3t = 3pt ÷ 3t 2d Cancelling 4 8r2 (or just 4r) = 4r 2r 1 1

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