Question

How do you convert $0.02$ to a fraction?

Answer 1

Conversion of decimal into fraction:

Decimal to fraction conversion is a procedure of writing decimal values in the form of fraction value and vice-versa.

We will convert $0.02$ into fraction.

The number $0.02$ is same as $\frac{2}{100}$ as it can be view $1.00$ as $\frac{1}{1}$.

Let,

$\Rightarrow$ $x=0.02$

$\Rightarrow$ $10x=0.2$

$\Rightarrow$ $100x=2$

$\Rightarrow$ $1000x=20$

So,

$\Rightarrow$ $1000x-100x=20-2$

$\Rightarrow$ $900x=18$

$\Rightarrow$ $x=\frac{18}{900}$

$\Rightarrow$ $x=\frac{1}{50}$

Hence, the fraction value of $0.02$ is $\frac{1}{50}$.