Respuesta :

Given any percentage below

[tex]x\text{ \%}[/tex]

The fractional notation of the above perentage is as shown below

[tex]x\text{ \%}=\frac{x}{100}[/tex]

Given 62.5% in the question, the fraction notation is as shown below:

[tex]\begin{gathered} 62.5\text{ \%=}\frac{62.5}{100} \\ \text{Writing the fraction in its lowest form} \end{gathered}[/tex]

[tex]\begin{gathered} \frac{62.5}{100}=\frac{62.5\times10}{100\times10} \\ \frac{62.5\times10}{100\times10}=\frac{625}{1000} \\ \frac{625}{1000}=\frac{25\times25}{25\times40} \\ \frac{25\times25}{25\times40}=\frac{25}{40} \\ \frac{25}{40}=\frac{5\times5}{5\times8} \\ \frac{5\times5}{5\times8}=\frac{5}{8} \end{gathered}[/tex]

Hence, the fractional notation of 62.5% is 625/1000, and in its lowest term gives 5/8