GCSE Maths (AQA)

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Algebra Notation, vocabulary and manipulation

Dividing Algebraic Fractions

4:03 Simplify and manipulate algebraic expressions by: collecting like terms; multiplying a single term over a bracket; taking out common factors; simplifying expressions involving sums, products and powers, including the laws of indices; simplify and manipulate algebraic expressions (including those involving surds) by: expanding products of two binomials; factorising quadratic expressions of the form x² + bx + c, including the difference of two squares; simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by: expanding products of two or more binomials; factorising quadratic expressions of the form ax² + bx + c
Spec A4
Previous Multiplying Algebraic Fractions Next Defining Formulae
  • 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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310

questions for Algebra

100

questions for Notation, vocabulary and manipulation