AI generatedAlgebraGCSE Higher / IGCSE Extended

Dividing algebraic fractions

Keep the first fraction and multiply by the reciprocal of the second.

  • Keep the first fraction and multiply by the reciprocal of the second.
  • The original denominators must be non-zero; the divisor must also be non-zero.
  • Factorise and cancel only after changing the division into multiplication.

Example 1

Simplify. State any excluded values.

Multiply by the reciprocal of the second fraction.Factorise before cancelling.Cancel complete common factors.

Example 2

Simplify. State any excluded values.

Multiply by the reciprocal of the second fraction.Factorise before cancelling.Cancel complete common factors.

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
Multiply by the reciprocal of the second fraction.Factorise before cancelling.Cancel complete common factors.

Restrictions from the original expression: , . The divisor cannot be zero either.

Question 2

Simplify. State any excluded values.

Check answer
Multiply by the reciprocal of the second fraction.Factorise before cancelling.Cancel complete common factors.

Restrictions from the original expression: , . The divisor cannot be zero either.

Question 3

Simplify. State any excluded values.

Check answer
Multiply by the reciprocal of the second fraction.Factorise before cancelling.Cancel complete common factors.

Restrictions from the original expression: , . The divisor cannot be zero either.

Question 4

Simplify. State any excluded values.

Check answer
Multiply by the reciprocal of the second fraction.Factorise before cancelling.Cancel complete common factors.

Restrictions from the original expression: , . The divisor cannot be zero either.

Question 5

Simplify. State any excluded values.

Check answer
Multiply by the reciprocal of the second fraction.Factorise before cancelling.Cancel complete common factors.

Restrictions from the original expression: , . The divisor cannot be zero either.

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