Fractions Practice Questions

What fraction of the rectangle is shaded?

Give your answer in its simplest form.

What fraction of the rectangle is not shaded?

Write $3\frac{4}{5}$ as an improper fraction.

Write $\frac{27}{4}$ as a mixed number.

Complete this statement.

$$\frac{3}{7} = \frac{\phantom{00}}{28}$$

Work out $\frac{1}{3} + \frac{5}{12}$

Give your answer in its simplest form.

A jug contains $320$ ml of milk.

Priya pours out $\frac{5}{8}$ of the milk.

Work out how much milk Priya pours out.

In a car park, $\frac{3}{8}$ of the cars are red.

There are $27$ red cars in the car park.

Work out the total number of cars in the car park.

Each month, Nadia spends $\frac{2}{5}$ of her wages on rent and $\frac{1}{6}$ of her wages on food.

She saves the rest of her wages.

Work out the fraction of her wages that Nadia saves.

Work out $\frac{4}{9} \times 6$

Give your answer as a mixed number in its simplest form.

Work out $\frac{3}{10} \times \frac{5}{9}$

Give your answer in its simplest form.

A jug contains $4\frac{1}{2}$ litres of orange juice.

Sam fills cups from the jug. Each cup holds $\frac{3}{8}$ of a litre.

Work out the number of cups Sam can fill completely from the jug.

Write these fractions in order of size.

Start with the smallest fraction.

$$\frac{2}{3} \qquad \frac{5}{8} \qquad \frac{7}{12} \qquad \frac{3}{4}$$

Owen joins two planks of wood end to end.

One plank is $2\frac{3}{4}$ metres long. The other plank is $1\frac{2}{3}$ metres long.

Work out the total length of the two planks.

Give your answer as a mixed number.

A copper pipe is $5\frac{1}{4}$ metres long.

Zara cuts off a piece of pipe $2\frac{2}{3}$ metres long.

Work out the length of pipe that is left.

Give your answer as a mixed number in its simplest form.

A school charity event raises £960.

$\frac{1}{4}$ of the money is spent on new sports equipment.

$\frac{2}{5}$ of the remaining money is spent on transport.

The rest of the money is given to a local hospital.

Work out how much money is given to the local hospital.

Here are two fractions.

$$\frac{3}{7} \qquad \frac{5}{8}$$

Work out which of these fractions is closer to $\frac{1}{2}$

You must show all your working.

Work out the weight of rice left in the bag.

Give your answer as a mixed number.

Kiri puts all the rice that is left into small bags.

Each small bag holds $\frac{1}{6}$ kg of rice.

Work out the number of small bags Kiri can fill completely.