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107 LearnersLast updated on March 27th, 2025
22.5% 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. Percents represent the fractional part of numbers as well. For example, 1/2; the numbers as a percent are expressed with a percent sign (%), for example, 22.5%. We are going to learn how to convert a percent to a fraction.
What is 22.5% as a Fraction?
Answer
The answer for 22.5% as a fraction will be 9/40.
Explanation
Converting a percent 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, 22.5% becomes 22.5/100.
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). 22.5/100 × 10/10 = 225/1000
Step 3: Here, 25 is the GCD of 225 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 25. 225/1000 = 9/40 Hence, 22.5% is in the form of a fraction of 9/40.
Thus, 22.5% can be written as a fraction 9/40.
Important Glossaries for 22.5% as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Percent: A ratio or fraction expressed as a part 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.
- Greatest Common Divisor (GCD): The largest number that divides two or more numbers without leaving a remainder.
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