Question

Express:
(i) 24% as a fraction;
(ii) 105% as a decimal;
(iii) 4 : 5 as a percentage;
(iv) 56% as a ratio.

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right)24\%=\frac{24}{100} \\ =\frac{6}{25} \end{gathered}$$

$$\begin{gathered} \left(ii\right)105\%=\frac{105}{100} \\ =1.05 \\ \left(iii\right)4:5=\frac{4}{5} \\ =\left(\frac{4}{5}\times 100\right)\% \\ =80\% \\ \left(iv\right)56\%=\frac{56}{100} \\ =\frac{14}{25} \\ =14:25 \end{gathered}$$