82% as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Percentages represent parts per hundred. For example, 1/2 is a fraction, while percentages are expressed with a percent sign (%), such as 82%, which we are going to learn how to convert to a fraction.

What is 82% as a Fraction?

$82% as a fraction$

Answer

The answer for 82% as a fraction will be 41/50.

Explanation

Converting a percentage to a fraction is a simple 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, 82% means 82 per 100. So, it becomes 82/100.

Step 2: To simplify the fraction, find the GCD of 82 and 100, which is 2, and divide both the numerator and denominator by this number. 82/100 = 41/50

Thus, 82% can be written as a fraction 41/50.

Important Glossaries for 82% 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.

Simplifying Fractions: The process of reducing a fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor.