Question

What is $15\mathrm{\%}$ as a fraction in simplest form?

Answer 1

Hint: To write $15\mathrm{\%}$ as a fraction in simplest form, we are going to first eliminate this percentage $\left(\mathrm{\%}\right)$ sign. This percentage sign is eliminated by dividing 15 by 100. Then the expression will look like ${\displaystyle \frac{15}{100}}$. Now, as you can see that numerator and the denominator both can be divided by 5 so we are going to divide the numerator and the denominator by 5 and this division will give us the simplest form.

Complete step-by-step solution:
In the above problem, we have given the following percentage of which we have to write in a fraction in the simplest form:
$15\mathrm{\%}$
To convert into fraction, we have to eliminate the percentage $\left(\mathrm{\%}\right)$ symbol which we are going to do by dividing 15 by 100 and then the above expression will look like:
${\displaystyle \frac{15}{100}}$
Now, to write the above fraction in the simplest form, we are going to divide the numerator and the denominator by 5. We are dividing by 5 because if you look carefully on the numerator and the denominator then you will find that 15 is divisible by 5 and 100 is also divisible by 5.
${\displaystyle \frac{3}{20}}$
We can come to the above simplification because when we divide 15 by 5 then we get 3 and when we divide 100 by 5 then we get 20.
Hence, the simplest fraction form of $15\mathrm{\%}$ is equal to ${\displaystyle \frac{3}{20}}$.

Note: The key point in solving the above problem is the knowledge of converting percentage $\left(\mathrm{\%}\right)$ into fraction. If you don’t know this conversion then it will be very hard for you to solve this problem.
The trick to remember the conversion from percentage to fraction is that as you can see that there are two zeros you can see in the percentage symbol $\left(\mathrm{\%}\right)$ and 100 has two zeros. Also, you can see a division symbol (/) in the percentage symbol so combining both 100 and the division concept we get that we have to divide the number by 100.