Fractions Decimals And Percentages Worksheets

Fractions decimals and percentages at a glance

Fractions, decimals and percentages (FDP) are all ways of representing parts of a whole. We can find equivalent percentages, fractions and decimals throughout the number system. These represent the same proportion of a whole, for example 50% = one half = 0.5. 

To convert from a percentage to a decimal number, we divide the percentage by 100 and to convert from a decimal back to a percentage we multiply by 100. 

When converting fractions to percentages we can find an equivalent fraction with a denominator of 100, this will mean that the numerator will then be the percentage (since percent means out of 100).

When converting fractions to decimals we can divide the numerator by the denominator, giving us the equivalent decimal. 

When converting a decimal to a fraction, the numerator will be the numbers after the decimal point and the denominator will depend on the amount of numbers after the decimal point. For example if there is one decimal place (tenths), the denominator will be 10, if there are two decimal places (hundredths) it will be 100 and so on. We are often asked to give fractions in their simplest form so we should try and simplify any fraction we find. 

We can calculate with fractions and decimals by adding, subtracting, multiplying and dividing them. We can also find a fraction or a percentage of an amount.

Looking forward, students can then progress to additional number worksheets, for example an equivalent fractions & ordering fractions worksheet or simplifying fractions worksheet.

For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.