16.5% 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 of 100. For example, 1/2, the numbers in percentages are expressed with a percent sign (%), For example, 16.5%, we are going to learn how to convert a percentage to a fraction.

What is 16.5% as a Fraction?

$16.5% as a fraction$

Answer

The answer for 16.5% as a fraction is 33/200.

Explanation

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

Step 1: Firstly, any percentage should be converted to a fraction by dividing by 100. Here, 16.5% becomes 16.5/100.

Step 2: To remove the decimal from the fraction, multiply both the numerator and the denominator by 10 (because there is only 1 decimal place). 16.5/100 × 10/10 = 165/1000

Step 3: Here 5 is the GCD of 165 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 5. 165/1000 = 33/200 Hence, 16.5% is in the form of a fraction as 33/200.

Thus, 16.5% can be written as a fraction 33/200.

Important Glossaries for 16.5% 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 positive integer that divides two or more numbers without leaving a remainder.