775% as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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. A fraction represents a whole and a fractional part. Percentages are another way to express numbers, representing a part of 100. For example, 50% is equivalent to 1/2 in fraction form. Here, we are going to learn how to convert a percentage to a fraction.

What is 775% as a Fraction?

$775% as a fraction$

Answer

The answer for 775% as a fraction is 31/4.

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 for easy calculation. Here, 775% is the percentage, and to convert it to a fraction, divide by 100. Thus, 775% becomes 775/100.

Step 2: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 775 and 100 is 25. Now, divide both the numerator and the denominator by 25. 775/100 = 31/4

Thus, 775% can be written as a fraction 31/4.

Important Glossaries for 775% 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 by dividing both the numerator and denominator by their greatest common divisor.