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Last updated on March 7th, 2025

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8.5% as a Fraction

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

Numbers can be categorized into different types. A fraction is one such type. 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 fractions, often representing a part of 100. For example, 50% is equivalent to 1/2. In this content, we are going to learn how to convert a percentage to a fraction.

Professor Greenline from BrightChamps

What is 8.5% as a Fraction?

8.5% as a fraction

 

Answer:

 

The answer for 8.5% as a fraction will be 17/200.

 

Explanation:

 

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

 

Step 1: Firstly, convert the percentage into a fraction by writing it over 100. Here, 8.5% becomes 8.5/100.

 

Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 10 (because there is one decimal place). 8.5/100 × 10/10 = 85/1000

 

Step 3: Here, 5 is the GCD of 85 and 1000. Now, to make the fraction simpler, divide the numerator and the denominator by 5. 85/1000 = 17/200 Hence, 8.5% is in the form of the fraction 17/200.

 

Thus, 8.5% can be written as a fraction 17/200.

Professor Greenline from BrightChamps

Important Glossaries for 8.5% as a Fraction

  • Fraction: A numerical quantity representing a part of a whole, expressed as a quotient of integers.

 

  • Percentage: A number or ratio expressed as a fraction 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 positive integer that divides two or more integers without leaving a remainder.
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