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23.5% as a Fraction
Numbers can be categorized into different types. Fraction is one of its kinds. 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 are another way to express fractions, often used to denote proportions. For example, 50% represents 1/2. We are going to learn how to convert a percentage to a fraction.
What is 23.5% as a Fraction?
Answer
The answer for 23.5% as a fraction will be 47/200.
Explanation
Converting a percentage to a fraction is a straightforward process. You can follow the steps mentioned below to find the answer.
Step 1: Begin by writing the percentage as a fraction with the denominator of 100, since percentages are out of 100. Here, 23.5% becomes 23.5/100.
Step 2: To eliminate the decimal from the fraction, multiply both the numerator and the denominator by 10 (since there is one decimal place). 23.5/100 × 10/10 = 235/1000
Step 3: Find the GCD of 235 and 1000, which is 5. Simplify the fraction by dividing both the numerator and the denominator by their GCD. 235/1000 = 47/200
Thus, 23.5% can be written as a fraction 47/200.
Important Glossaries for 23.5% as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Percentage: A fraction expressed as a part of 100, often used to denote proportions.
- 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 divides two or more numbers without leaving a remainder, used for simplifying fractions.
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