Question

Convert the following ratios to percentages.

$\left(a\right)3:4$

$\left(b\right)2:3$

Answer 1

Percentage means per $100$.

Ex: $1\%$ means $1$ out of $100$.

$1\%=\frac{1}{100}$

Now, lets convert given ratios into percentages

(a) $3:4$

$=\frac{3}{4}$

$=\frac{3}{4}\times \frac{100}{100}$

$=\frac{3\times 100}{4\times 100}$

$=\frac{3\times 25}{100}$

$=\frac{75}{100}$

$=75\%$

$\therefore 3:4=75\%$

(b) $2:3$

$=\frac{2}{3}$

$=\frac{2}{3}\times \frac{100}{100}$

$=\frac{2\times 100}{3\times 100}$

$=\frac{200}{3}\times \frac{1}{100}$

$=\frac{200}{3}\%$

$=66\frac{2}{3}\%$

$\therefore 2:3=66\frac{2}{3}\%$