20.8% as a Fraction

Professor Greenline Explaining Math Concepts

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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 fractional part of numbers, expressed as a part of 100. For example, 1/2, numbers in percentage are expressed with a percent sign (%), for example, 20.8%. We are going to learn how to convert a percentage to a fraction.

What is 20.8% as a Fraction?

$20.8% as a fraction$

Answer

The answer for 20.8% as a fraction will be 52/250.

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, 20.8% means 20.8 per 100, so it becomes 20.8/100.

Step 2: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 10 (because there is only one decimal place). 20.8/100 × 10/10 = 208/1000

Step 3: Here, 4 is the GCD (Greatest Common Divisor) of 208 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 4. 208/1000 = 52/250 Hence, 20.8% is in the form of a fraction as 52/250.

Thus, 20.8% can be written as a fraction 52/250.

Important Glossaries for 20.8% 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, denoted by the % symbol.
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 the numbers without a remainder.