63.6% as a Fraction

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Percentages represent a part of a number out of 100. For example, 1/2 can be expressed as 50%. We are going to learn how to convert a percentage to a fraction.

63.6% as a Fraction for US Students

What is 63.6% as a Fraction?

$63.6% as a fraction$

Answer

The answer for 63.6% as a fraction will be 159/250.

Explanation

Converting a percentage to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any percentage should be converted to a fraction for easy calculation. Here, 63.6% is the number on the numerator, and the base number 100 will be the denominator. Then, 63.6% becomes 63.6/100.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 10 (because there is only 1 decimal place). 63.6/100 × 10/10 = 636/1000

Step 3: Here, 4 is the GCD of 636 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 4. 636/1000 = 159/250 Hence, 63.6% is in the form of the fraction 159/250.

Thus, 63.6% can be written as a fraction 159/250.

Important Glossaries for 63.6% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Percentage: A number or ratio expressed as a fraction of 100.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
Denominator: The bottom part of a fraction, showing how many parts make up a whole.
Greatest Common Divisor (GCD): The largest positive integer that divides two or more integers without a remainder.