Write each percent as a fraction. Give answers in lowest terms. 180%
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Percentages
A percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100, or 50/100. Understanding percentages is crucial for converting them into fractions, as it provides the basis for the relationship between the two forms.
Fractions
A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number). To convert a percentage to a fraction, you place the percentage value over 100 and simplify it to its lowest terms. For instance, 180% can be written as 180/100.
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 180/100 can be simplified by dividing both by 20, resulting in 9/5, which is in lowest terms.