Question

Express the following percentages as fraction and as decimal numbers: $7\frac{1}{2}\text{\%}$

Answer 1

Step 1: Express $7\frac{1}{2}\text{\%}$ in terms of fraction
To express a percentage as a fraction, divide it by 100.
$\therefore 7\frac{1}{2}\text{\%}=\frac{(2\times 7)+1}{2\times 100}$
$=\frac{14+1}{2\times 100}$
$=\frac{15}{200}$
$=\frac{3}{40}$
Hence, $7\frac{1}{2}\text{\%}$ is expressed as $\frac{3}{40}$ in terms of fraction.

Step 2: Express $7\frac{1}{2}\text{\%}$ in terms of decimal
To express a percentage as a decimal, divide it by 100.
$\therefore 7\frac{1}{2}\text{\%}=\frac{(2\times 7)+1}{2\times 100}$
$=\frac{14+1}{2\times 100}$
$=\frac{15}{200}$
$=\frac{3}{40}$
= 0.075
Hence, $7\frac{1}{2}\text{\%}$ is expressed as 0.075 in terms of decimal.