Question

Express the following percentages as fraction and as decimal numbers: 0.02%

Answer 1

Step 1: Express $0.02\text{\%}$ in terms of fraction
To express a percentage as a fraction, divide it by 100.
$\therefore 0.02\text{\%}=\frac{0.02}{100}$
$=\frac{2}{100\times 100}$
$=\frac{2}{10000}$
$=\frac{1}{5000}$
Hence, $0.02\text{\%}$ is expressed as $\frac{1}{5000}$ in terms of fraction.

Step 2: Express 0.02% in terms of decimal
To express a percentage as a fraction, divide it by 100.
$\therefore 0.02\text{\%}=\frac{0.02}{100}$
$=\frac{2}{100\times 100}$
$=\frac{2}{10000}$
= 0.0002
Hence, $0.02\text{\%}$ is expressed as 0.0002 in terms of the decimal.