AI generatedAlgebraGCSE Higher / IGCSE Extended

Adding algebraic fractions - with the same denominator

The common denominator stays the same.

  • The common denominator stays the same.
  • Add the complete numerators and collect like terms.
  • Factorise the result if useful, cancelling only a factor of the whole numerator and denominator.

Example 1

Simplify. State any excluded values.

Combine the whole numerators; keep the denominator.Remove the addition brackets.Collect like terms in the numerator.

Example 2

Simplify. State any excluded values.

Combine the whole numerators; keep the denominator.Remove the addition brackets.Collect like terms in the numerator.

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
Combine the whole numerators; keep the denominator.Remove the addition brackets.Collect like terms in the numerator.

Restrictions from the original expression: .

Question 2

Simplify. State any excluded values.

Check answer
Combine the whole numerators; keep the denominator.Remove the addition brackets.Collect like terms in the numerator.

Restrictions from the original expression: .

Question 3

Simplify. State any excluded values.

Check answer
Combine the whole numerators; keep the denominator.Remove the addition brackets.Collect like terms in the numerator.

Restrictions from the original expression: .

Question 4

Simplify. State any excluded values.

Check answer
Combine the whole numerators; keep the denominator.Remove the addition brackets.Collect like terms in the numerator.

Restrictions from the original expression: .

Question 5

Simplify. State any excluded values.

Check answer
Combine the whole numerators; keep the denominator.Remove the addition brackets.Collect like terms in the numerator.

Restrictions from the original expression: .

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