AlgebraKey Stage 3

Solving equations - with fractions

Solve linear equations containing numerical denominators.

  • Keep the equation balanced: do the same operation to both sides.
  • Undo operations in reverse order.
  • Check what is included in a fraction before choosing the first step.

Example 1

Solve the equation.

Example 2

Solve the equation.

Example 3

Solve the equation.

Expand both brackets.

Example 4

Solve the equation.

Collect like terms.

Remember
The fraction bar groups the numerator. Multiply every term on both sides when clearing denominators.

Your turn

Question 1

Solve.

Check answer
Question 2

Solve.

Check answer
Question 3

Solve.

Check answer
Question 4

Solve.

Check answer
Question 5

Solve.

Check answer
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