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Last updated on August 5, 2025

52.50% 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 are another way to represent the fractional part of numbers. For example, 1/2 can be represented as 50%. In this guide, we are going to learn how to convert a percentage to a fraction.

52.50% as a Fraction for US Students
Professor Greenline from BrightChamps

What is 52.50% as a Fraction?

 

 

Answer

 

The answer to 52.50% as a fraction is 21/40.

 

Explanation

 

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

 

Step 1: A percentage is always out of 100. So, 52.50% is initially written as 52.50/100.

 

Step 2: To remove the decimal, multiply both the numerator and the denominator by 100 (because there are two decimal places). 52.50/100 × 100/100 = 5250/10000

 

Step 3: Here, 250 is the GCD of 5250 and 10000. To simplify the fraction, divide the numerator and denominator by 250. 5250/10000 = 21/40

 

Thus, 52.50% can be written as the fraction 21/40.

Professor Greenline from BrightChamps

Important Glossaries for 52.50% as a Fraction

  • Fraction: A numerical quantity that is not a whole number and represents a part of a whole.

 

  • Percentage: A fraction or ratio expressed as part of 100.

 

  • 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 number that divides both the numerator and the denominator without leaving a remainder.
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