Equations with fractions

Sample Equations with fractions questions

A few of the 29 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 12 marksGrade 3
   Solve: $\dfrac{6x - 10}{5} = 1$
   Show the worked solution

   Multiply both sides by 5: 6x − 10 = 5.

   6x = 15 M1

What are the common mistakes in Equations with fractions?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Applies the wrong inverse operation when isolating the unknown (e.g. subtracts instead of adding, or vice versa)

  Added -2 instead of subtracting it after multiplying both sides by 2

• Multiplies only one term instead of every term when clearing a fraction/bracket

  Treated the equation as x - 2 = 8 without first multiplying both sides by 2

• Correctly clears a fraction by multiplying through but doesn't go on to solve the resulting equation

  Correctly multiplied by 2 to get x - 2 = 16, but did not finish rearranging for x

Quick answers about Equations with fractions

How many Equations with fractions practice questions are there?

There are 29 self-marking GCSE and IGCSE Maths questions on Equations with fractions, written for AQA, Pearson, OCR, Pearson International GCSE Maths A (4MA1), Cambridge IGCSE Mathematics (0580), Cambridge IGCSE (9-1) Mathematics (0980) across Foundation and Higher and Core and Extended tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Equations with fractions?

No. You can start practising Equations with fractions straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.