Calculating with fractions: practice

2 marksCore skill

Work out

\frac{5}{6} - \frac{1}{4}

. Give your answer as a fraction in its simplest form.

[2]

2 marksCore skill

Work out

\frac{2}{3} + \frac{3}{5}

. Give your answer as a fraction in its simplest form.

[2]

2 marksCore skill

Work out

\frac{7}{8} + \frac{5}{12}

. Give your answer as a fraction in its simplest form.

[2]

2 marksCore skill

Work out

\frac{9}{10} - \frac{4}{15}

. Give your answer as a fraction in its simplest form.

[2]

2 marksCore skill

Work out

\frac{3}{4} \times \frac{8}{9}

. Give your answer in its simplest form.

[2]

2 marksCore skill

Work out

\frac{5}{6} \times \frac{10}{21}

. Give your answer in its simplest form.

[2]

2 marksCore skill

Work out

\frac{4}{9} \div \frac{2}{3}

. Give your answer in its simplest form.

[2]

2 marksCore skill

Work out

\frac{7}{10} \div \frac{14}{25}

. Give your answer in its simplest form.

[2]

3 marksProblem solving

Leah has £60. Leah spends

\frac{2}{5}

of it on a jacket and then

\frac{1}{4}

of what is left on a book. How much money does Leah have left?

[3]

3 marksProblem solving

Kai has £84. Kai spends

\frac{3}{7}

of it on a game and then

\frac{2}{3}

of what is left on snacks. How much money does Kai have left?

[3]

3 marksProblem solving

Priya has £72. Priya spends

\frac{1}{6}

of it on a cinema ticket and then

\frac{3}{5}

of what is left on a scarf. How much money does Priya have left?

[3]

4 marksCore skill

(a)

Here are some fractions:

\frac{5}{8},\quad \frac{2}{3},\quad \frac{7}{12},\quad \frac{3}{4}

. Which is the largest?

[2]

(b)

Work out the difference between the largest and the smallest fraction.

[2]