Multiplying and dividing algebraic fractions

Sample Multiplying and dividing algebraic fractions questions

A few of the 11 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 11 markGrade 4-5
   Simplify. $\dfrac{p}{3} \times \dfrac{p}{5}$

What are the common mistakes in Multiplying and dividing algebraic 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.

• Leaves the expression in expanded form instead of writing it as a product of factors

  Correctly factorised both numerator and denominator but did not go on to cancel the shared $(x-1)$ factor and the numeric factor of 2

• Divides fractions by multiplying directly instead of multiplying by the reciprocal

  Multiplied the fractions directly instead of flipping (finding the reciprocal of) the second fraction first

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

  Combined the bracketed fractions into a single fraction but did not simplify $2x^2-8$

Quick answers about Multiplying and dividing algebraic fractions

How many Multiplying and dividing algebraic fractions practice questions are there?

There are 11 self-marking GCSE Maths questions on Multiplying and dividing algebraic fractions, written for AQA, Pearson, OCR across Higher tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Multiplying and dividing algebraic fractions?

No. You can start practising Multiplying and dividing algebraic 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.