Express rational numbers as terminating or eventually recurring decimals and vice versa.

Express \(\frac{5}{12}\) as a decimal.

The table below shows four decimal representations. (a) Express 0.48 as a rational number in simplest form. (1 mark) (b) Express $0.\dot{7}\dot{2}$ as a rational number in simplest form. (2 marks) (c) Express $\frac{7}{12}$ as a decimal, stating whether it is terminating or recurring. (1 mark)

Consider the rational number $\frac{7}{12}$ and the recurring decimal $0.\dot{2}\dot{7}$. (a) Express $\frac{7}{12}$ as a decimal. (b) Express $0.\dot{2}\dot{7}$ as a rational number in simplest form. (c) Hence express the sum $\frac{7}{12} + 0.\dot{2}\dot{7}$ as a rational number in simplest form.