24.5% 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 parts per hundred. For example, 1/2, the numbers in percentage are expressed with a percent sign (%), For example, 24.5%, we are going to learn how to convert a percentage to a fraction.

What is 24.5% as a Fraction?

$24.5% as a fraction$

Answer

The answer for 24.5% as a fraction will be 49/200.

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 fraction by dividing by 100. Here, 24.5% becomes 24.5/100.

Step 2: To remove the decimal from the fraction, multiply both the numerator and denominator by 10 (because there is only 1 decimal place). 24.5/100 × 10/10 = 245/1000

Step 3: Here 5 is the GCD of 245 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 5. 245/1000 = 49/200 hence, 24.5% is in the form of a fraction of 49/200.

Thus, 24.5% can be written as a fraction 49/200.

Important Glossaries for 24.5% 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.
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 numerator and denominator by their greatest common divisor (GCD).