To multiply fractions, multiply their numerators together and multiply their denominators together.

\[ \frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d} \]

To divide fractions, turn the second fraction upside down and then multiply the fractions instead.

\[ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{a \times d}{b \times c} \]

Change all mixed numbers into improper fractions before multiplying or dividing.

To find a fraction of a quantity, multiply that fraction by the quantity.

Example videos

Video: https://www.youtube.com/embed/Vu3p30PEQeY

Video: https://www.youtube.com/embed/9civotyHAJY

Video: https://www.youtube.com/embed/g_clqsgj-ok

Video: https://www.youtube.com/embed/A0MPV6IMZjs

Practice questions

Multiplying and dividing fractions - questionsMultiplying and dividing fractions - worked solutions