6% as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. A fraction is one of its kinds and 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. Percentages represent a part out of 100 and can be converted to fractions. For example, 50% is equivalent to 1/2. In this guide, we are going to learn how to convert a percentage to a fraction.

What is 6% as a Fraction?

$6 percent as a fraction$

Answer

The answer for 6% as a fraction is 3/50.

Explanation

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

Step 1: Write the percentage as a fraction with 100 as the denominator. Here, 6% becomes 6/100.

Step 2: Simplify the fraction. Find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 6 and 100 is 2.

Step 3: Divide both the numerator and the denominator by their GCD to simplify the fraction. 6/100 = (6 ÷ 2)/(100 ÷ 2) = 3/50

Thus, 6% can be written as a fraction 3/50.

Important Glossaries for 6% as a Fraction

Fraction: A numerical expression representing a part of a whole, written in the form of p/q.

Percentage: A number expressed as a fraction of 100, using the percent symbol (%).

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 by dividing the numerator and denominator by their greatest common divisor.