Question

How do you write $75\% $ as a fraction?

Answer 1

Hint: To solve this type of questions, first we will remove the percent sign in the given expression and take the 100 in the denominator of the expression. Rewrite the given expression after solving the expression.

Complete step by step solution:
As we know that a number that contains the % in the expression is known as the percentage. In other words, a percentage is a number that is expressed as a fraction of $100$. Suppose a number is given as $a\% $. Then, the number can be represented in the fraction form as $\dfrac{a}{{100}}$.
When one number is divided into two parts, then one of the parts can be represented by the fraction. Mathematically notation of a fraction number can be denoted as $\dfrac{a}{b}$. Here, b cannot be equal to zero because when b tends to 0, then the fraction goes to infinity. Thus, the numbers a and b must be integers.
After, rewrite the percentage number into the fraction form, divide the numerator and denominator by a common number and reduce the numerators and denominators in the simplest form.
We will consider the given fraction expression.
$ \Rightarrow 75\% $
First, we will remove the percentage sign from the above expression.
$ \Rightarrow \dfrac{{75}}{{100}}$
Since 75 and 100 both numbers can be divided by 25. Thus, we will rewrite the above fraction.
$ \Rightarrow \dfrac{{75}}{{100}} = \dfrac{{{{75}}\left( 3 \right)}}{{{{100}}\left( 4 \right)}}$
After simplification, we will get,
$\therefore \dfrac{{75}}{{100}} = \dfrac{3}{4}$

Therefore, the solution for the given expression is $\dfrac{3}{4}$.

Note: When dividing the numerator and denominator of a percentage expression. Make sure both numbers should be divided by a single number that means the numerator and denominator must be canceled out by a common number.