Fractions, Decimals & Percentages Practice Questions

Fill in the six missing values in the table.

Write these numbers in order of size. Start with the smallest number.

Write down the reciprocal of $\frac{3}{8}$ as a decimal, using dot notation.

Write $\frac{7}{12}$ as a decimal. Use dot notation in your answer.

Write $\frac{5}{11}$ as a recurring decimal. Use dot notation in your answer.

Write $0.385$ as a fraction in its simplest form.

Express $0.5\dot{2}\dot{7}$ as a fraction in its simplest form.

You must show all your working.

Explain what is wrong with Sasha's method.

Write $0.4\dot{6}\dot{1}$ as a fraction.

You must show your working.

Show that $0.\dot{2}\dot{7} + 0.8\dot{3}$ can be written in the form $\frac{m}{66}$, where $m$ is an integer.

You must show all your working.

Prove algebraically that $N$ can be written as $\frac{9}{55}$.

Hence write the reciprocal of $N$ as a recurring decimal.

Use dot notation in your answer.