Algebra › Section G · Rational expressions and functions › Topic G.2

Adding and subtracting rational expressions

Polynomial fractions add exactly the way number fractions do: find a common denominator, build matching forms, combine the tops. The only new skill is that finding that common denominator now requires factoring.

In this topic

  • Same denominators: combine the tops only
  • Subtracting with a common denominator
  • Finding the least common denominator
  • Building equivalent fractions
  • Worked example: adding with unlike denominators
  • Worked example: subtracting across denominators
  • Restrictions survive the arithmetic
  • Common mistakes to avoid
  • Key takeaways

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