Question

Convert the following percentages to fractions and ratios:
(i) 25%
(ii) 2.5%
(iii) 0.25%
(iv) 0.3%
(v) 125%

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right)25\%=\frac{25}{100} \\ =\frac{5}{20}=\frac{1}{4} \\ \therefore \mathrm{Ratio}=1:4 \\ \left(\mathrm{ii}\right)2.5\%=\frac{2.5}{100} \\ =\frac{25}{1000}=\frac{5}{200} \\ =\frac{1}{40} \\ \therefore \mathrm{Ratio}=1:40 \\ \left(\mathrm{iii}\right)0.25\%=\frac{0.25}{100} \\ =\frac{25}{10000}=\frac{5}{2000} \\ =\frac{1}{400} \\ \therefore \mathrm{Ratio}=1:400 \\ \left(\mathrm{iv}\right)0.3\%=\frac{0.3}{100} \\ =\frac{3}{1000} \\ \therefore \mathrm{Ratio}=3:1000 \\ \left(\mathrm{v}\right)125\%=\frac{125}{100} \\ =\frac{5}{4} \\ \therefore \mathrm{Ratio}=5:4 \end{gathered}$$