Write each percent as a fraction. Give answers in lowest terms. 2.5%
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1
Start by writing the percent as a fraction over 100: .
To eliminate the decimal, multiply both the numerator and the denominator by 10: .
Now, simplify the fraction by finding the greatest common divisor (GCD) of 25 and 1000.
Divide both the numerator and the denominator by their GCD to reduce the fraction to its lowest terms.
Express the simplified fraction as your final answer.
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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 part per hundred. It is a way to express a number as a fraction of 100, making it easier to compare relative sizes. For example, 25% means 25 out of 100, or 25/100. Understanding percentages is crucial for converting them into fractions.
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, 2.5% can be written as 2.5/100, 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). This process ensures that the fraction is expressed in its simplest form, making it easier to understand and use.