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118 LearnersLast updated on March 11th, 2025
175% as a Fraction
Numbers can be categorized into different types. A 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. A fraction represents a whole and a fractional part. Percentages represent a part per hundred. For example, 1/2 is a fraction, and percentages are expressed with a percent sign (%), for example, 175%. We are going to learn how to convert a percentage to a fraction.
What is 175% as a Fraction?
Answer
The answer for 175% as a fraction will be 7/4.
Explanation
Converting a percentage to a fraction is a task that can be done easily with a few straightforward steps. You can follow the steps mentioned below to find the answer.
Step 1: Firstly, convert the percentage to a fraction by writing the percentage number over 100. Here, 175% becomes 175/100.
Step 2: Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 175 and 100 is 25.
Step 3: Divide both the numerator and the denominator by the GCD to simplify the fraction. 175/100 ÷ 25/25 = 7/4
Thus, 175% can be written as a fraction 7/4.
Important Glossary for 175% as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Percentage: A fraction or ratio with 100 as the denominator, 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 positive integer that divides each of the integers without leaving a remainder.
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