Question

How do you write $57.6\%$ as a fraction in simplest form?

Answer 1

Hint: In this question, we have to write the given percentage into simplest fraction form. Thus, we will use the percentage formula and the basic mathematical rule to get the solution. As we know, fractional terms are in the form of $\dfrac{p}{q}$ , where p and q are integers and q is not equal to zero. Therefore, we start solving this problem by simply removing the percentage sign, by dividing 100 in the given number. After that, we will remove the decimal sign by putting 10 in the denominator. In the end, we will make the necessary calculations, to get the required solution.

Complete step-by-step answer:
According to the question, we have to convert the percentage into the simplest fraction form.
Thus, we will use the percentage formula and the basic mathematical rule to get the solution.
Now, the percentage given to us is $57.6\%$ --------- (1)
So, now we will remove the $\%$ sign, by dividing 100 in equation (1), we get
$\Rightarrow \dfrac{57.6}{100}$
Now, we will remove the decimal point by dividing 10 in the above equation because we see that there is only one number after the decimal that is why we divide 10, we get
$\Rightarrow \dfrac{\dfrac{576}{10}}{100}$
On further solving, we get
$\Rightarrow \dfrac{576}{1000}$
Now, we see that both the numerator and the denominator are divisible by 8, that is $8\times 72=576$ and $8\times 125=1000$ , thus we get
$\Rightarrow \dfrac{72}{125}$ which is the required solution.
Therefore, for the percentage values $57.6\%$ , its simplest fractional form is equal to $\dfrac{72}{125}$

Note: While solving this problem, do all the steps properly to avoid mistakes. Always remember that percentage means 100 that is why we are dividing the given term by 100. In the end, do not forget to simplify the fractional number, to get an accurate solution.