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101 LearnersLast updated on March 25th, 2025
36.5% as a Fraction
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 out of 100. For example, 1/2, percentages are expressed with a percent sign (%), For example, 36.5%, we are going to learn how to convert a percentage to a fraction.
What is 36.5% as a Fraction?
Answer
The answer for 36.5% as a fraction will be 73/200.
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, any percentage should be converted to fraction for easy calculation. Here, 36.5% is the number on the numerator and the base number 100 will be the denominator. Then, 36.5% becomes 36.5/100.
Step 2: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 10 (because there is only 1 decimal place). 36.5/100 × 10/10 = 365/1000
Step 3: Here 5 is the GCD of 365 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 5. 365/1000 = 73/200 hence, 36.5% is in the form fraction of 73/200
Thus, 36.5% can be written as a fraction 73/200.
Important Glossaries for 36.5% 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 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.
- GCD (Greatest Common Divisor): The largest positive integer that divides two or more integers without a remainder.
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