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104 LearnersLast updated on March 25th, 2025
17.5% 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. A fraction represents a whole and a fractional part. Percentages represent numbers as parts out of 100. For example, 1/2, the numbers in percentage are expressed with a percent sign (%). In this context, we are going to learn how to convert 17.5% to a fraction.
What is 17.5% as a Fraction?
Answer
The answer for 17.5% as a fraction will be 7/40.
Explanation
Converting a percentage to a fraction is straightforward. You can follow the steps mentioned below to find the answer.
Step 1: Firstly, convert the percentage to a decimal by dividing by 100. Here, 17.5% becomes 0.175.
Step 2: Now, convert the decimal to a fraction. To remove the decimal, multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 0.175/1 × 1000/1000 = 175/1000
Step 3: Here, 25 is the GCD of 175 and 1000. Simplify the fraction by dividing the numerator and denominator by 25. 175/1000 = 7/40
Thus, 17.5% can be written as a fraction 7/40.
Important Glossaries for 17.5% as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Percentage: A number expressed as a fraction of 100, denoted by the percent sign (%).
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- 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.
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