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116 LearnersLast updated on March 29th, 2025
27.5% 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 fractional part of numbers out of 100. For example, 1/2, the numbers in percentage are expressed with a percent sign (%). For example, 27.5%, we are going to learn how to convert a percentage to a fraction.
What is 27.5% as a Fraction?
Answer
The answer for 27.5% as a fraction will be 11/40.
Explanation
Converting a percentage to a fraction is a straightforward task. 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, 27.5% becomes 27.5/100.
Step 2: To eliminate the decimal from the fraction, multiply both the numerator and denominator by 10 (because there is only 1 decimal place). 27.5/100 × 10/10 = 275/1000
Step 3: Here, 25 is the GCD of 275 and 1000. Now, to simplify the fraction, divide the numerator and denominator by 25. 275/1000 = 11/40
Thus, 27.5% can be written as a fraction 11/40.
Important Glossaries for 27.5% as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Percentage: A way of expressing a number as a fraction of 100, denoted by 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.
- Greatest Common Divisor (GCD): The largest number that divides both the numerator and the denominator without leaving a remainder.
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