AI generatedAlgebraGCSE Higher / IGCSE Extended

Simplifying algebraic fractions with common terms

Simplify numerical coefficients and common variable factors separately.

  • Simplify numerical coefficients and common variable factors separately.
  • A common factor can be divided out of the whole numerator and denominator.
  • Keep the original denominator restriction, even after the factor disappears.

Example 1

Simplify. State any excluded values.

Write numerator and denominator as products.Divide the whole numerator and denominator by .

Example 2

Simplify. State any excluded values.

Write numerator and denominator as products.Divide the whole numerator and denominator by .

Remember
Use the worked steps to check your method, not just the final answer.

Your turn

Question 1

Simplify. State any excluded values.

Check answer
Write numerator and denominator as products.Divide the whole numerator and denominator by .

Restrictions from the original expression: .

Question 2

Simplify. State any excluded values.

Check answer
Write numerator and denominator as products.Divide the whole numerator and denominator by .

Restrictions from the original expression: .

Question 3

Simplify. State any excluded values.

Check answer
Write numerator and denominator as products.Divide the whole numerator and denominator by .

Restrictions from the original expression: .

Question 4

Simplify. State any excluded values.

Check answer
Write numerator and denominator as products.Divide the whole numerator and denominator by .

Restrictions from the original expression: .

Question 5

Simplify. State any excluded values.

Check answer
Write numerator and denominator as products.Divide the whole numerator and denominator by .

Restrictions from the original expression: .

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