Question

How do you write 95% as a fraction?

Answer 1

Hint: Percentage refers to ‘out of one hundred’. It is a number used to denote a fraction of 100. It is expressed by a % sign. Whereas, a fraction is a number that denotes a part of a whole or a collection. It shows how much or into how many parts is a whole thing divided.
To convert a percentage into a fraction, we will divide the percent by 100. If the percent is a whole number, we will just simplify the fraction. But if the percent is not a whole number, we will multiply both the numerator and denominator with 1 followed by as many zeroes as there are numbers after the decimal point in the percent.

Complete step by step solution:
Given percent is $95\% $
Now, we will divide $95$ by $100$
$ \Rightarrow \dfrac{{95}}{{100}}$
Since $95$ is a whole number, therefore we will just simplify the fraction obtained.
For simplifying, we will find the Greatest Common Divisor (GCD) of $95$ and $100$.
$GCD(95,100) = 5$
We will now divide both the numerator and denominator ($95$ and $100$) by $5$.
$ \Rightarrow \dfrac{{\dfrac{{95}}{5}}}{{\dfrac{{100}}{5}}} = \dfrac{{19}}{{20}}$

Hence, $95\% $ can be written in fraction as $\dfrac{{19}}{{20}}$.

Note: The Greatest Common Divisor (GCD) or the Greatest Common Factor, of two numbers is the largest number that divides them both. The GCD of two numbers $a$ and $b$ is denoted as $GCD(a,b)$.