GCSE Maths (AQA)

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Dividing Algebraic Fractions

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Algebra Notation, Vocabulary and Manipulation

Dividing Algebraic Fractions

4:03 Using Algebraic Fractions
Spec A4
  • Algebraic fractions can be divided in a similar way to normal fractions
  • To divide two fractions, change the division symbol to a multiplication symbol and flip the second fraction
  • Factorize the numerator or denominator before multiplying to make it easier and reduce the chances of making a mistake
  • Example: simplify X/5y divided by x/y = (X/5y) * (y/x) = 6x/5y^2
  • Example involving factorization: simplify (x+3)/15 divided by (x^2+3x)/25 = (x+3)/15 * 25/(x(x+3)) = 5/3x

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