Question

Express the following percentage as ratio in the following form.
$0.64\%$.

Answer 1

$\Rightarrow 0.64\%=\frac{0.64}{100}$ $[\because 64=\frac{64}{100}]$

$=\frac{\left(\frac{64}{100}\right)}{100}$

$=\frac{64}{100\times 100}$

$=\frac{64}{10000}$

Divide by $2$ in numerator and denominator

$=\frac{64÷2}{10000÷2}$

$=\frac{32}{5000}$

Divide by $2$ in numerator and denominator

$=\frac{32÷2}{5000÷2}=\frac{16}{2500}$

Divide by $2$ in numerator and denominator

$=\frac{16÷2}{2500÷2}=\frac{8}{1250}$

Divide by $2$ in numerator and denominator

$=\frac{8÷2}{1250÷2}=\frac{4}{625}$

Ratio form of $0.64\%$ is $\frac{4}{625}$