Question:
Convert the following percentages to fractions and ratios:
(i) 25%
(ii) 2.5%
(iii) 0.25%
(iv) 0.3%
(v) 125%
Solution:
(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 $=5: 4$