Tutorial

GCSE Maths: Fractions, Decimals, and Percentages

Master the conversion between fractions, decimals, and percentages, including the algebraic method for converting recurring decimals to fractions.
A close-up shot of a protractor and a ruler resting on top of a weathered math textbook, with various fractions, decimals, and percentages scribbled in pencil in the margins around them. The scene is lit with warm, inviting sunlight.

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Deck Contents

25 Cards
Lesson#1
Welcome to this deck on fractions, decimals, and percentages. These are three different ways of representing the same value, and being able to switch between them is a fundamental skill in maths. We'll cover how to convert from any form to any other, and we'll also look at the special algebraic method needed to turn recurring decimals into fractions.
Lesson#2
Let's start with converting a fraction to a decimal. A fraction is really just a division. The line in a fraction means 'divide by'. So, to turn any fraction into a decimal, you divide the top number, the numerator, by the bottom number, the denominator.
Quiz#3
To convert a fraction to a decimal, what do you divide the numerator by?

the denominator

Quiz#4
What is the fraction three quarters as a decimal?

zero point seven five

Lesson#5
Once you have a decimal, converting it to a percentage is straightforward. The phrase 'per cent' means 'out of one hundred'. So, to change a decimal to a percentage, you simply multiply it by one hundred.
Quiz#6
To convert a decimal to a percentage, what number do you multiply by?

100

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