AI generatedAlgebraGCSE Higher / IGCSE Extended

Subtracting algebraic fractions - with different denominators

Find a common denominator and scale both parts of each fraction.

  • Find a common denominator and scale both parts of each fraction.
  • Subtract the entire second numerator using brackets.
  • Expand the subtraction carefully before collecting like terms.

Example 1

Simplify. State any excluded values.

Multiply each fraction by its missing factor, top and bottom.Combine the numerators.Expand carefully, keeping the subtraction signs.Collect the terms and the constants.

Example 2

Simplify. State any excluded values.

Multiply each fraction by its missing factor, top and bottom.Combine the numerators.Expand carefully, keeping the subtraction signs.Collect the terms and the constants.

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 each fraction by its missing factor, top and bottom.Combine the numerators.Expand carefully, keeping the subtraction signs.Collect the terms and the constants.

Restrictions from the original expression: , .

Question 2

Simplify. State any excluded values.

Check answer
Multiply each fraction by its missing factor, top and bottom.Combine the numerators.Expand carefully, keeping the subtraction signs.Collect the terms and the constants.

Restrictions from the original expression: , .

Question 3

Simplify. State any excluded values.

Check answer
Multiply each fraction by its missing factor, top and bottom.Combine the numerators.Expand carefully, keeping the subtraction signs.Collect the terms and the constants.

Restrictions from the original expression: , .

Question 4

Simplify. State any excluded values.

Check answer
Multiply each fraction by its missing factor, top and bottom.Combine the numerators.Expand carefully, keeping the subtraction signs.Collect the terms and the constants.

Restrictions from the original expression: , .

Question 5

Simplify. State any excluded values.

Check answer
Multiply each fraction by its missing factor, top and bottom.Combine the numerators.Expand carefully, keeping the subtraction signs.Collect the terms and the constants.

Restrictions from the original expression: , .

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