Question

What is $66\%$ as a fraction in the simplest form?

Answer 1

Hint: The $66\%$ as a fraction in simplest form is found by eliminating this percentage $\left( \% \right)$ sign first. This percentage sign is eliminated by dividing 66 by 100. Then the expression will look like $\dfrac{66}{100}$. Now, as you can see that numerator and the denominator both can be divided by 2 so we are going to divide the numerator and the denominator by 2 and this division will give us the simplest form.

Complete step by step answer:
In the above question, you can see that we have given the following percentage of which we have to write in a fraction in the simplest form:
$66\%$
To convert into fraction, we have to eliminate the percentage $\left( \% \right)$ symbol which we are going to do by dividing 66 by 100 and then the above expression will look in the following manner:
$\dfrac{66}{100}$
Now, to write the above fraction in the simplest form, we are going to divide the numerator and the denominator by 2. We are dividing by 2 because if you look carefully on the numerator and the denominator then you will find that 66 is divisible by 2 and 100 is also divisible by 2.
$\dfrac{33}{50}$
We can come to the above simplification because when we divide 66 by 2 then we get 33 and when we divide 100 by 2 then we get 50.

Hence, the simplest fraction form of $66\%$ is equal to $\dfrac{33}{50}$.

Note: In the above problem, this percentage conversion is asked to in simplest fraction form but sometimes the examiner just have asked you to write the simplest form of $66\%$ which you can write by converting the given fraction form into decimal as follows:
$\dfrac{33}{50}$
Multiplying 2 on both the numerator and the denominator and we get,
$\dfrac{33\times 2}{50\times 2}=\dfrac{66}{100}$
Now, the result of the above expression is the putting of decimal before 6 in the 66 and we get,
0.66