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Last updated on August 5, 2025

7.2% as a Fraction

Professor Greenline Explaining Math Concepts

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. Decimals represent the fractional part of numbers. For example, 1/2. The numbers in decimal form are expressed with a decimal point (.), for example, 0.375. In this context, we are going to learn how to convert a percentage to a fraction.

7.2% as a Fraction for US Students
Professor Greenline from BrightChamps

What is 7.2% as a Fraction?

Answer

The answer for 7.2% as a fraction is 9/125.

 

Explanation

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

 

Step 1: Convert the percentage to a decimal. Divide 7.2 by 100, which gives 0.072.

 

Step 2: Convert the decimal to a fraction. Initially, write it as 0.072/1.

 

Step 3: To remove the decimal, multiply both the numerator and the denominator by 1000 (since there are three decimal places). 0.072/1 × 1000/1000 = 72/1000

 

Step 4: Find the greatest common divisor (GCD) of 72 and 1000, which is 8. Divide both the numerator and the denominator by 8 to simplify the fraction. 72/1000 ÷ 8/8 = 9/125

 

Thus, 7.2% can be written as the fraction 9/125.

Professor Greenline from BrightChamps

Important Glossaries for 7.2% as a Fraction

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

 

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

 

  • Percentage: A way of expressing a number as a fraction of 100, denoted using the percent sign (%).

 

  • 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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