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Last updated on 5 August 2025

240% 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 parts per hundred. For example, 1/2, percentages are expressed with a percent sign (%), For example, 240%, we are going to learn how to convert a percentage to a fraction.

240% as a Fraction for UK Students
Professor Greenline from BrightChamps

What is 240% as a Fraction?

 

 

Answer

The answer for 240% as a fraction will be 12/5.

 

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 by dividing by 100. Here, 240% becomes 240/100.

 

Step 2: To simplify the fraction, find the greatest common divisor (GCD) of the numerator and the denominator. Here, the GCD of 240 and 100 is 20.

 

Step 3: Divide both the numerator and the denominator by the GCD to simplify the fraction. 240/100 ÷ 20/20 = 12/5

 

Thus, 240% can be written as a fraction 12/5.

Professor Greenline from BrightChamps

Important Glossaries for 240% 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 two or more integers without a remainder.
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