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Last updated on March 11th, 2025

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4.5% as a Fraction

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

Numbers can be categorized into different types. 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 represent a part of a whole as a fraction of 100. For example, 1/2 can be expressed as 50%. Here, we are going to learn how to convert a percentage into a fraction.

Professor Greenline from BrightChamps

What is 4.5% as a Fraction?

4.5% as a fraction

Answer

 

The answer for 4.5% as a fraction is 9/200.

 

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, 4.5% is the percentage which means 4.5 out of 100. Thus, 4.5% becomes 4.5/100.

 

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10 (because there is only 1 decimal place). 4.5/100 × 10/10 = 45/1000

 

Step 3: Here, 5 is the GCD of 45 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 5. 45/1000 = 9/200 Hence, 4.5% is in the fraction form of 9/200.

 

Thus, 4.5% can be written as a fraction 9/200.

Professor Greenline from BrightChamps

Important Glossaries for 4.5% as a Fraction

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

 

  • Percentage: A fraction or ratio expressed as a 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.

 

  • GCD (Greatest Common Divisor): The largest positive integer that divides each of the integers without leaving a remainder.
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