Fractions
A fraction represents equal parts of a whole, written as a numerator over a denominator.
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Play with the controls to see the idea in action.
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A fraction represents equal parts of a whole, written as a numerator over a denominator.
- The denominator shows how many equal parts make a whole
- The numerator shows how many parts are taken
- Equivalent fractions have the same value
🧠 Quick quiz
Three questions. Score 2 or more to complete the topic.
What is Fractions?
Within Mathematics, which covers numbers, algebra, geometry, trigonometry and statistics from first principles to exam level, this topic explains Fractions. Maths builds step by step, so each topic here gives you a rule, a picture and a quick check you can use on homework and in exams.
Check that you can explain Fractions in your own words and give one example from everyday life. If you can do that, you have understood the core idea.
Understanding Fractions gives you a reliable method you will reuse in later maths units, in science lessons and in data work.
Fractions in detail
A fraction describes part of a whole or a share of a quantity, written as a numerator over a denominator. The denominator says how many equal parts the whole is divided into and the numerator says how many of those parts are taken, so 3/4 means three of four equal parts.
Fractions can also be read as division (3 ÷ 4), as ratios and as points on a number line. Proper fractions are less than 1, while improper fractions are 1 or more. They appear in measurement, cooking, probability and in all later work with algebra.
How the interactive helps you understand Fractions
Watch the pie chart in the interactive. Use any sliders or buttons it offers to change the values and see how the pie chart responds.
Before you change anything, predict the result. Then change one value at a time and check whether your prediction was right. This is a quick way to build a correct mental model of Fractions.
Real-life uses and examples
- Use Fractions when comparing prices, discounts or recipe quantities in everyday life.
- Explain Fractions to a friend with a simple picture, such as a row of tiles or a bag of sweets.
- Spot Fractions in exam questions, where it often sits inside a short word problem.
Common mistakes to avoid
- Forgetting units, signs or brackets when you apply Fractions.
- Memorising the steps for Fractions without checking why they work.
- Learning the definition without testing it. Use the quiz and the interactive to check that you can apply the idea.
Frequently asked questions about Fractions
What is Fractions?
A fraction represents equal parts of a whole, written as a numerator over a denominator.
What are the most important points about Fractions?
The main points are: The denominator shows how many equal parts make a whole; The numerator shows how many parts are taken; Equivalent fractions have the same value.
Why is Fractions useful?
Understanding Fractions gives you a reliable method you will reuse in later maths units, in science lessons and in data work.
How can I practise Fractions?
Open the interactive at the top of this page and change the controls one at a time. Predict the result before each change, then take the three-question quiz. A score of two or more marks the topic as complete on this device.
Which topics are related to Fractions?
Related topics in Mathematics include Multiplying and Dividing Fractions, Converting Fractions and Decimals, Simple and Compound Interest.