4% as a Fraction

Professor Greenline Explaining Math Concepts

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Intermediate

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Numbers can be categorized into different types. A fraction is one such type, 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 fractional part of numbers. For example, 1/2. Percentages are expressed with a percent sign (%), such as 4%. We are going to learn how to convert a percentage to a fraction.

What is 4% as a Fraction?

$4 percent as a fraction$

Answer

The answer for 4% as a fraction will be 1/25.

Explanation

Converting a percentage to a fraction is a straightforward task that can be accomplished by following the steps below.

Step 1: Convert the percentage to a fraction by placing the percentage number over 100. Here, 4% becomes 4/100.

Step 2: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by it. In this case, the GCD of 4 and 100 is 4. 4/100 ÷ 4/4 = 1/25

Thus, 4% can be written as a fraction 1/25.

Important Glossaries for 4% as a Fraction

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

Percentage: A way of expressing a number 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.

Simplification: The process of reducing a fraction to its simplest form by dividing the numerator and denominator by their greatest common divisor (GCD).