Question

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

Answer 1

(i) $25\%=\frac{25}{100}=\frac{5}{20}=\frac{1}{4}$

$\therefore$ Ratio $=1:4$

(ii) $2.5\%=\frac{2.5}{100}=\frac{25}{1000}=\frac{5}{200}=\frac{1}{40}$

$\therefore$ Ratio $=1:40$

(iii) $0.25\%=\frac{0.25}{100}=\frac{25}{10000}=\frac{5}{2000}=\frac{1}{400}$

$\therefore$ Ratio $=1:400$

(iv) $0.3\%=\frac{0.3}{100}=\frac{3}{1000}$

$\therefore$ Ratio $=3:1000$

(v) $125\%=\frac{125}{100}=\frac{5}{4}$

$\therefore$ Ratio $=5:4$