6.5% as a Fraction

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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. Fractions represent a whole and a fractional part. Percentages represent a number out of 100. For example, 1/2 as a percentage is 50%. Here, we are going to learn how to convert a percentage to a fraction.

What is 6.5% as a Fraction?

$6.5% as a fraction$

Answer

The answer for 6.5% as a fraction will be 13/200.

Explanation

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

Step 1: Firstly, convert the percentage to a fraction by placing the number over 100. Here, 6.5% becomes 6.5/100.

Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 10 (because there is only 1 decimal place). 6.5/100 × 10/10 = 65/1000

Step 3: Here 5 is the GCD of 65 and 1000. Now, to simplify the fraction, divide the numerator and denominator by 5. 65/1000 = 13/200 Hence, 6.5% is in the fraction form of 13/200.

Thus, 6.5% can be written as a fraction 13/200.

Important Glossaries for 6.5% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
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.
Simplification: The process of reducing a fraction to its simplest form.