46% as a Fraction

Professor Greenline Explaining Math Concepts

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 a part of a whole out of 100. For example, 1/2, the numbers in percentage are expressed with a percentage sign (%), for example, 46%, we are going to learn how to convert a percentage to a fraction.

46% as a Fraction for US Students

What is 46% as a Fraction?

$46% as a fraction$ Answer

The answer for 46% as a fraction will be 23/50.

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, 46% means 46 out of 100, so it is written as 46/100.

Step 2: To simplify the fraction, you need to find the greatest common divisor (GCD) of the numerator and denominator. Here, the GCD of 46 and 100 is 2.

Step 3: Now, divide both the numerator and the denominator by their GCD to make the fraction simpler. 46/100 = 23/50

Thus, 46% can be written as a fraction 23/50.

Important Glossaries for 46% 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 a Fraction: The process of reducing a fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor (GCD).