Algebra › Section G · Rational expressions and functions › Topic G.3

Complex rational expressions

A complex fraction has fractions inside its numerator or denominator - a fraction wearing fractions. Two routes flatten it into an ordinary rational expression, and both routes always agree.

In this topic

  • A fraction wearing fractions
  • Route 1: multiply through by the LCD
  • Worked example: route 1
  • Route 2: combine, then divide
  • Worked example: route 2 on the same expression
  • Choosing between the routes
  • Restrictions travel inward
  • Worked example: binomial inner denominators
  • Common mistakes to avoid
  • Key takeaways

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