244 LearnersLast updated on May 26th, 2025
3.5% as a Fraction
Numbers can be categorized into different types. Fractions are one of these types. A fraction is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a fractional part. Decimals represent the fractional part of numbers, and percentages are another way to express fractions. For example, 1/2 is a fraction, while 10% can be expressed as a fraction too. In this guide, we will learn how to convert a percentage to a fraction.
What is 3.5% as a Fraction?
Answer
The answer for 3.5% as a fraction is 7/200.
Explanation
Converting a percentage to a fraction is a straightforward process. You can follow the steps below to find the answer.
Step 1: A percentage can be easily converted to a fraction by dividing by 100. So, 3.5% becomes 3.5/100.
Step 2: To remove the decimal point in the numerator, multiply both the numerator and denominator by 10 (because there is only 1 decimal place). 3.5/100 × 10/10 = 35/1000
Step 3: The GCD (Greatest Common Divisor) of 35 and 1000 is 5. To simplify the fraction, divide both the numerator and the denominator by 5. 35/1000 = 7/200
Thus, 3.5% can be written as a fraction 7/200.
Important Glossaries for 3.5% as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Percentage: A number or ratio expressed as a fraction of 100.
- 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 two or more integers without a remainder.
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