3.6% as a Fraction

Professor Greenline Explaining Math Concepts

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Intermediate

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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 represent a part out of 100. For example, 1/2, the numbers in percentage are expressed with a percent sign (%), For example, 3.6%, we are going to learn how to convert a percentage to a fraction.

What is 3.6% as a Fraction?

$3.6% as a fraction$

Answer

The answer for 3.6% as a fraction will be 9/250.

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 number should be converted to a fraction for easy calculation. Here, 3.6% is the number, which can be expressed as 3.6/100.

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). 3.6/100 × 10/10 = 36/1000

Step 3: Here 4 is the GCD of 36 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 4. 36/1000 = 9/250 Hence, 3.6% is expressed as the fraction 9/250.

Thus, 3.6% can be written as a fraction 9/250.

Important Glossaries for 3.6% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Percentage: A number expressed as a fraction of 100, denoted by 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.
GCD (Greatest Common Divisor): The largest number that divides both the numerator and the denominator without leaving a remainder.