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Last updated on March 11th, 2025

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12.5% as a Fraction

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

Numbers can be categorized into different types. Fraction is one of its 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, like decimals, also represent parts of numbers. For example, 1/2 can be thought of as 50%, and percentages are expressed with a percent sign (%). Here, we are going to learn how to convert a percentage to a fraction.

Professor Greenline from BrightChamps

What is 12.5% as a Fraction?

12.5% as a fraction

 

Answer

 

The answer for 12.5% as a fraction will be 1/8.

 

Explanation

 

Converting a percentage to a fraction is straightforward. Follow the steps below to find the answer.

 

Step 1: Firstly, convert the percentage to a decimal by dividing by 100. Here, 12.5% becomes 0.125.

 

Step 2: Convert the decimal to a fraction. Write 0.125 as 0.125/1.

 

Step 3: To remove the decimal, multiply both the numerator and the denominator by 1000 (because there are 3 decimal places). 0.125/1 × 1000/1000 = 125/1000

 

Step 4: Simplify the fraction by finding the GCD of 125 and 1000, which is 125. 125/1000 = 1/8

 

Thus, 12.5% can be written as the fraction 1/8.

Professor Greenline from BrightChamps

Important Glossaries for 12.5% as a Fraction

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

 

  • Percentage: A way of expressing a number as a fraction of 100, denoted by the symbol %.

 

  • Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

 

  • 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.
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