Question

How do you write $38\% $ as a fraction in simplest form?

Answer 1

Hint: We get percentage form when we multiply the number with $100$ , so in the same way if we need to convert from percentage to any other form we need to think of a number out of $100$ . out of $100$ means division operation. Then we need to find a common factor which divides the both numbers which gives us the required answer.

Complete step-by-step answer:
Here in the given question they have asked to convert from percentage to fraction form.
Usually we get the percentage form when we multiply a number by $100$ . If we need to convert a number from percentage form to any other form we need to divide the number by $100$ .
So the given number is in the percentage form, to convert to fraction now we divide the number $38$ by $100$ which gives fraction form.
Therefore we get,
$38\% = \dfrac{{38}}{{100}}$
Now, we need to find the common factor which divides both the number $38$ and $100$ because they have asked for the simplest fraction.
Number $2$ is the common factor which divides both the number $38$ and $100$.
So if we divide both the numbers as below, we get
$ \Rightarrow 38\% = \dfrac{{\left( {\dfrac{{38}}{2}} \right)}}{{\left( {\dfrac{{100}}{2}} \right)}}$
On simplifying the above step we get,
\[ \Rightarrow 38\% = \dfrac{{19}}{{50}}\]
To simplify further we don’t have any common factors to divide the number $19$ and $50$.
Therefore the simplest form of fraction for $38\% $ is \[\dfrac{{19}}{{50}}\] .

Note: Whenever we convert from percentage form to any other form the first thing is divide the number by $100$ , which gives the fraction form of the percentage. So while finding common factors be careful you may get multiple factors sometimes, choose the one which gives you the simplest form.