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Last updated on March 5th, 2025

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24% as a Fraction

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

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 are another way to express numbers, and they can be converted into fractions. For example, 24% can be converted to a fraction, and we are going to learn how to do this conversion.

Professor Greenline from BrightChamps

What is 24% as a Fraction?

24 percent as a fraction

Answer:

 

The answer for 24% as a fraction is 6/25.

 

Explanation:

 

Converting a percentage to a fraction is a straightforward task for students. You can follow the steps mentioned below to find the answer.

 

Step 1: Firstly, any percentage should be converted to a fraction by placing the percentage number over 100, because a percentage is a fraction of 100. Here, 24% becomes 24/100.

 

Step 2: To simplify the fraction, find the greatest common divisor (GCD) of 24 and 100. The GCD of 24 and 100 is 4.

 

Step 3: Divide both the numerator and the denominator by the GCD to simplify the fraction. 24/100 = (24 ÷ 4)/(100 ÷ 4) = 6/25

 

Thus, 24% can be written as the fraction 6/25.

Professor Greenline from BrightChamps

Important Glossaries for 24% as a Fraction

  • Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

 

  • Percentage: A number expressed as a fraction of 100, often denoted using the percent 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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