Coaching Centre
Multiplying and dividing fractions
Multiplying fractions, cancelling first, fractions of a quantity, reciprocals and dividing fractions, including mixed numerals.
Multiplying
Find $\dfrac{4}{9} \times \dfrac{3}{8}$.
Find $\dfrac{3}{5}$ of $\$40$.
Dividing
The reciprocal of $\dfrac{a}{b}$ is $\dfrac{b}{a}$. Dividing by a fraction is the same as multiplying by its reciprocal.
Find $2\tfrac{1}{4} \div \dfrac{3}{8}$.
Find $\dfrac{4}{9} \times \dfrac{3}{8}$.
Cancel first.
Find $\dfrac{3}{5}$ of $40$.
$3 \times 8$.
Find $2\tfrac{1}{4} \div \dfrac{3}{8}$.
$\tfrac{9}{4} \times \tfrac{8}{3}$.
Find $6 \div \dfrac{1}{2}$.
$6 \times 2$.
Write the reciprocal of $\dfrac{2}{5}$.
Flip it.
Find $\dfrac{5}{6} \div \dfrac{3}{4}$.
$\tfrac{5}{6} \times \tfrac{4}{3} = \tfrac{20}{18}$.
Find $1\tfrac{1}{2} \times 2\tfrac{1}{2}$ as an improper fraction.
$\tfrac{3}{2} \times \tfrac{5}{2}$.
How many $\tfrac{3}{4}$-metre pieces can be cut from $12$ m of rope?
$12 \div \tfrac{3}{4} = 12 \times \tfrac{4}{3}$.
New numbers every time. Keep going until you get five in a row.