275% as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

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 are another way to represent parts of a whole, where the whole is 100. For example, 50%, which is equivalent to 50/100 or 1/2 as a fraction. We are going to learn how to convert a percentage to a fraction.

What is 275% as a Fraction?

$275% as a fraction$

Answer

The answer for 275% as a fraction will be 11/4.

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 should be converted to a fraction by dividing by 100. Here, 275% is divided by 100. So, 275% becomes 275/100.

Step 2: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. Here, 25 is the GCD of 275 and 100. Now, to make the fraction simpler, divide the numerator and denominator by 25. 275/100 = 11/4

Thus, 275% can be written as a fraction 11/4.

Important Glossaries for 275% 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, denoted using 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.
Greatest Common Divisor (GCD): The largest positive integer that divides each of the integers in a set without leaving a remainder.