Fractions, percentages and decimals – GCSE Mathematics Eduqas Revision

Understanding Fractions, Percentages and Decimals

Fractions, percentages, and decimals are all ways to represent a portion of a whole. They can all represent the same values just in different forms.
A fraction is a way of expressing a number as a ratio of two numbers. For example, “half” can be represented as the fraction 1/2.
A decimal is another way of representing a fraction, specifically a fraction where the denominator is a power of 10. For example, “half” can be written as the decimal 0.5.
A percentage is a fraction where the denominator is always 100, expressed with a percent sign (%). For example, “half” can be represented as the percentage 50%.

To convert a fraction to a decimal, divide the numerator by the denominator.
To convert a decimal to a fraction, consider the place value of the decimal and use it as the denominator. Remember to simplify the fraction if possible.
To convert a decimal to a percentage, multiply it by 100 and add a % sign.
To convert a percentage to a decimal, remove the person sign and divide by 100.
To convert a fraction to a percentage, first convert the fraction to a decimal then to percentage.

Fractions, decimal numbers, and percentages are just different ways of expressing the same thing.
Practice converting between fractions, decimals and percentages. The more you practice, the more natural it will become.
Don’t forget to simplify your fractions if possible.
Always remember to multiply by 100 when converting a decimal to a percentage, and divide by 100 when converting a percentage to a decimal.