Multiplying And Dividing Fractions Worksheet

Multiplying and dividing fractions at a glance

Multiplication and division of fractions can be more straightforward than adding or subtracting fractions because a common denominator is not required. It is important however that students are confident with equivalent fractions and simplifying fractions.

To multiply a pair of fractions, simply multiply the numerators and multiply the denominators. The answer should always be written in its simplest form by cancelling common factors from the numerator and denominator. 

To divide a pair of fractions, we find the reciprocal of the second fraction (essentially, flip the numerator and denominator). We then multiply the first fraction by the reciprocal of the second fraction, and finally cancel any common factors to write the fraction in its lowest terms.

Fraction multiplication and division can be extended to working with mixed numbers (sometimes called mixed fractions); a mixed number has both a whole number (integer) part and a simple fraction part. We can convert between mixed numbers and improper fractions in order to calculate with them.

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.