Write each percent as a fraction. Give answers in lowest terms. 2%
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Start by understanding that a percent is a way of expressing a number as a fraction of 100. So, 2% can be written as .
Next, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of 2 and 100 is 2. Divide both the numerator and the denominator by their GCD.
This will give you the fraction in its simplest form.
Finally, verify that the fraction is in its lowest terms by ensuring that the numerator and the denominator have no common factors other than 1.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Percentages
A percentage represents a fraction out of 100. It is a way to express a number as a part of a whole, where the whole is 100. For example, 2% means 2 out of 100, which can be useful in various applications such as finance, statistics, and everyday calculations.
Fractions
A fraction consists of a numerator and a denominator, representing a part of a whole. To convert a percentage to a fraction, you place the percentage value over 100. For instance, 2% can be expressed as 2/100, which can then be simplified to its lowest terms.
A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. To simplify a fraction, you divide both the numerator and denominator by their greatest common divisor (GCD). For example, the fraction 2/100 can be simplified to 1/50, as both 2 and 100 can be divided by 2.