Multiplying Fractions

Use our extensive free resources below to learn about Multiplying Fractions and download SQA past paper questions that are directly relevant to this topic.

This material is an extract from our National 5 Mathematics: Curriculum Breakdown course led by instructor Andrew Eadie. Enrol in the full course now and gain access to over 100 detailed topic breakdowns, 48 video tutorials (20 hours) and 39 quizzes spanning the entire curriculum.


Multiplying Fractions

Multiplying fractions is straightforward: you simply multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Or, “multiply the tops and multiply the bottoms” for short.

Example 1

\begin{aligned}\frac{1}{2}\times \frac{1}{2}=\frac{1\times1}{2\times2}=\frac{1}{4}\end{aligned}

Example 2

\begin{aligned}\frac{2}{3}\times \frac{2}{3}=\frac{2\times 2}{3\times 3}=\frac{4}{9}\end{aligned}


And as always, where it is possible to do so you must simplify fractions as in the following example:


Example 3

\begin{aligned}\frac{3}{4}\times \frac{6}{8}=\frac{3\times 6}{4\times 8}=\frac{18}{32}\end{aligned}


Now we simplify \frac{18}{32} to get the final answer:


\begin{aligned}\frac{18}{32}=\frac{\sout2\times 9}{\sout2\times 16}=\frac{9}{16}\end{aligned}


Key Outcomes

To multiply fractions together, multiply the tops (numerators) and multiply the bottoms (denominators). Always simplify where possible.

SQA Past Paper Questions:

Multiplying Fractions

Click the links below to download SQA past paper questions that are directly relevant to Multiplying Fractions:

Learn About Multiplying Fractions with

A Powerful New Learning System For N5 Maths

Our unique learning management system was designed exclusively around the Scottish curriculum. Feature-rich course design gives students the power to tailor their learning, taking advantage of exceptionally detailed explanations, fully worked examples, video tutorials, quizzes and more to identify and tackle problem areas at their own pace.

  • Theory Explanations
  • Intuitive Diagrams
  • Video Tutorials
  • Fully Worked Examples
  • Past Paper Breakdowns
  • Intelligent Quizzes

All hosted in the cloud and accessible anytime on any device.

Learn Anywhere with Unlimited Access

All courses are hosted in the cloud and optimised for use across desktop, tablet and mobile devices. All packages include 1 year’s unlimited access to your chosen course(s).

Our Quality Guarantee

We are so sure you’ll love our course that we offer a 100% money back guarantee. If you’re not entirely satisfied with your course, you can contact us within 14 days of purchase to receive a full refund.

This guarantee is subject to our Terms & Conditions of use.