GCSE Maths, Unit 7, Lesson 3 of 5
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Equations with fractions

GCSE Maths, Linear equations and inequalities, 25 minutes

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Clear fractions by multiplying every term, including two fractions on one side and the unknown on the bottom.

Multiply every term

Multiply both sides (every term) by the denominator to clear it.

  1. (2x + 1)/3 = 5
  2. multiply by 3: 2x + 1 = 15
  3. 2x = 14, so x = 7

With two denominators, multiply by a common multiple: x/2 + x/3 = 10 becomes 3x + 2x = 60, so x = 12.

The rest of this lesson and its 7 practice questions are in Plus.

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  • 7 exam-style questions, marked as you go, each with a worked solution
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