47.5% 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. Percentages represent a part of a whole out of 100. For example, 1/2, percentages are expressed with a percent sign (%), for example, 47.5%, we are going to learn how to convert a percentage to a fraction.

What is 47.5% as a Fraction?

$47.5% as a fraction$

Answer

The answer for 47.5% as a fraction will be 19/40.

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 fraction by dividing by 100. Here, 47.5% becomes 47.5/100.

Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 10 (because there is 1 decimal place). 47.5/100 × 10/10 = 475/1000

Step 3: Here 25 is the GCD of 475 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 25. 475/1000 = 19/40 hence, 47.5% is in the form fraction of 19/40

Thus, 47.5% can be written as a fraction 19/40.

Important Glossaries for 47.5% 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.
GCD (Greatest Common Divisor): The largest number that can divide two or more numbers without leaving a remainder.