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GCSE maths revision

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Fraction flowchart

Use this flow chart to explain how to add, subtract, multiply or divide with mixed numbers and fractions.

Can the fractions be simplified?

  • Simplify the fractions where possible

Does the sum contain mixed numbers?

Are you adding/subtracting or multiplying/dividing the mixed numbers?

Are you adding/subtracting or multiplying/dividing the fractions?

  • Add or subtract the whole numbers first.
  • Convert the remaining fractions to a common denominator.
  • Add or subtract the numerators
  • Simplify by borrowing from or adding to the whole number if required
  • Convert the fraction to improper (top heavy) fractions
  • Convert the fractions to a common denominator.
  • Add or subtract the numerators (top number)
  • Leave the denominator as it is!

Are you multiplying or dividing the fractions?

  • Convert the fractions to a common denominator.
  • Add or subtract the numerators (top number)
  • Leave the denominator as it is!
  • Multiply the numerators (top numbers) together
  • Multiply the denominators (bottom numbers) together
  • Flip the second fraction over.

Click the image below for an enlarged version of the fraction flowchart.

Fraction flowchart