Question

Convert the following decimals into fractions in simplest form:

(i) 0.025
(ii) 0.35
(iii) 0.075

Answer 1

(i)
$$\begin{gathered} 0.025=\frac{025}{1000} \\ =\frac{25÷25}{1000÷25} \\ =\frac{1}{40} \end{gathered}$$

(ii)
$$\begin{gathered} 0.35=\frac{35}{100} \\ =\frac{35÷5}{100÷5} \\ =\frac{7}{20} \end{gathered}$$

(iii)
$$\begin{gathered} 0.075=\frac{075}{1000} \\ =\frac{75÷25}{1000÷25} \\ =\frac{3}{40} \end{gathered}$$