Converting Fractions and Decimals

What is Converting Fractions and Decimals?

Within Mathematics, which covers numbers, algebra, geometry, trigonometry and statistics from first principles to exam level, this topic explains Converting Fractions and Decimals. 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 Converting Fractions and Decimals in your own words and give one example from everyday life. If you can do that, you have understood the core idea.

Understanding Converting Fractions and Decimals gives you a reliable method you will reuse in later maths units, in science lessons and in data work.

Converting Fractions and Decimals in detail

To convert a fraction to a decimal, divide the numerator by the denominator, so 3/8 = 3 ÷ 8 = 0.375. Some fractions give terminating decimals, while others, such as 1/3 = 0.333…, give recurring decimals that repeat forever and are written with a dot or bar over the repeating digits.

To convert a terminating decimal to a fraction, write it over the matching power of ten and simplify, so 0.35 = 35/100 = 7/20. Being able to move between forms helps you compare quantities, calculate percentages and choose the most convenient form for a problem.

How the interactive helps you understand Converting Fractions and Decimals

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 Converting Fractions and Decimals.

Real-life uses and examples

• Explain Converting Fractions and Decimals to a friend with a simple picture, such as a row of tiles or a bag of sweets.
• Spot Converting Fractions and Decimals in exam questions, where it often sits inside a short word problem.
• Check a homework answer about Converting Fractions and Decimals by estimating first, then working it out step by step.

Common mistakes to avoid

• Memorising the steps for Converting Fractions and Decimals without checking why they work.
• Forgetting units, signs or brackets when you apply Converting Fractions and Decimals.
• Learning the definition without testing it. Use the quiz and the interactive to check that you can apply the idea.