5.75% 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. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 5.75%, we are going to learn how to convert a percentage to a fraction.

5.75% as a Fraction for US Students

What is 5.75% as a Fraction?

$5.75% as a fraction$ Answer

The answer for 5.75% as a fraction will be 23/400.

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, convert the percentage to a decimal. Here, 5.75% means 5.75/100 or 0.0575.

Step 2: To convert the decimal to a fraction, write 0.0575 as 57.5/1000 (since there are four decimal places, multiply by 10000).

Step 3: To simplify, multiply 57.5/1000 by 10/10 to remove the decimal, resulting in 575/10000.

Step 4: Find the GCD of 575 and 10000, which is 25. Divide both numerator and denominator by this GCD. 575/10000 = 23/400

Thus, 5.75% can be written as a fraction 23/400.

Important Glossaries for 5.75% as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Percentage: A fraction whose denominator is 100, expressed with a 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 number that can divide two or more numbers without leaving a remainder.