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Last updated on March 7th, 2025

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46% as a Fraction

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

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.

Professor Greenline from BrightChamps

What is 46% as a Fraction?

46% as a fractionAnswer

 

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.

Professor Greenline from BrightChamps

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).
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