Help your students prepare for their Maths GCSE with this free Multiplying and Dividing Fractions worksheet of 44 questions and answers
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.
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Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.