145% as a Fraction

Professor Greenline Explaining Math Concepts

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 represent a fraction out of 100. For example, 1/2, the numbers in percentage are expressed with a percent sign (%), for example, 145%, we are going to learn how to convert a percentage to a fraction.

145% as a Fraction for US Students

What is 145% as a Fraction?

$145% as a fraction$

Answer

The answer for 145% as a fraction will be 29/20.

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: Any percentage can be converted to a fraction by placing the percentage number over 100. Here, 145% becomes 145/100.

Step 2: To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator. Here, 5 is the GCD of 145 and 100.

Step 3: Divide the numerator and denominator by their GCD to simplify the fraction. 145/100 ÷ 5/5 = 29/20

Thus, 145% can be written as a fraction 29/20.

Important Glossaries for 145% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Percentage: A fraction or ratio in which the denominator is 100, represented by the 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.
Simplify: The process of reducing a fraction to its simplest form.