Convert the following percentages to fractions and ratios:

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 $=5: 4$

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