
How do you write 95% as a fraction?
Answer
481.5k+ views
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
Now, we will divide by
Since is a whole number, therefore we will just simplify the fraction obtained.
For simplifying, we will find the Greatest Common Divisor (GCD) of and .
We will now divide both the numerator and denominator ( and ) by .
Hence, can be written in fraction as .
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 and is denoted as .
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
Now, we will divide
Since
For simplifying, we will find the Greatest Common Divisor (GCD) of
We will now divide both the numerator and denominator (
Hence,
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
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