Fractions Of Amounts Worksheet

Fractions of amounts at a glance

Finding fractions of an amount is a key skill for proportional reasoning. The simplest case is considering unit fractions of amounts – for example, finding ⅕ of 10. It is important that students understand that finding one fifth is the same as dividing by the denominator 5. 

Taking this a stage further, we consider non-unit fractions where the numerator is not 1, such as finding ⅗ of 10. Here we divide by 5 to find the value of ⅕ of the amount, then multiply by the numerator to find ⅗ as required. A bar model can be particularly useful when practising these basic ideas, so students can cut the bar into fifths and shade the appropriate amount. 

When finding fractions of a number, the result may not always be a whole number and students may need to apply concepts from decimal arithmetic – for example, finding ¼ of 30. Students may also be asked to calculate fractions of quantities or measurements – for example, finding ¼ of 300g.

Looking forward, students can then progress to additional number worksheets, for example a percentage worksheet or a rounding worksheet.

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