45% as a Fraction

Professor Greenline Explaining Math Concepts

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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. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.); for example, 0.45, we are going to learn how to convert a percentage to a fraction.

What is 45% as a Fraction?

$45 percent as a fraction$

Answer:

The answer for 45% as a fraction will be 9/20.

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 understood as a fraction of 100. Here, 45% means 45 per 100, which can be written as 45/100.

Step 2: To simplify the fraction, find the greatest common divisor (GCD) of the numerator and the denominator. Here, 5 is the GCD of 45 and 100.

Step 3: Divide the numerator and the denominator by their GCD to make the fraction simpler. 45/100 = 9/20

Hence, 45% can be written as a fraction 9/20.

Important Glossaries for 45% as a Fraction

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

Percentage: A fraction or ratio expressed as part 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.

Simplify: The process of reducing a fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor.