Question

How do you write $0.4\% $ as a fraction?

Answer 1

Hint: In these types of Questions we first convert percent into decimal and after that we write a $1$ as the denominator to make it a fraction. If numbers have $1$ value after decimal then multiply by $10$, if $2$ then multiply by $100$ and so on. After that divide by GCD.

Complete step by step solution:
We first convert percent into decimal
For that,
Write down the percent divided by $100$,
$\dfrac{{0.4}}{{100}}$
To get rid of the decimal point in the numerator, we count the numbers after the decimal in $0.4$
If it is $1$ number then multiply the numerator and denominator by $10$
If it is $2$ number then multiply the numerator and denominator by $100$
If it is $3$ number then multiply the numerator and denominator by $1000$
Here it is $1$ number, so,
Multiply both top and bottom by $10$
$ \Rightarrow \dfrac{{0.4}}{{100}} \times \dfrac{{10}}{{10}}$
$ \Rightarrow \dfrac{4}{{1000}}$
$ \Rightarrow \dfrac{2}{{500}}$
Therefore,$0.4\% $ as a fraction is as follows:
$ \Rightarrow \dfrac{1}{{250}}$

Note: So, for solving this type of question you must first convert percent into decimal. If you forget to convert percent into decimal then the answer is different.