Write each percent as a fraction. Give answers in lowest terms. 140%
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Start by expressing the percent as a fraction over 100. So, 140% becomes .
Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of 140 and 100 is 20.
Divide both the numerator and the denominator by their GCD. So, becomes .
Simplify the fraction to its lowest terms.
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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 a clear basis for the conversion process.
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, 140% can be written as 140/100.
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 140/100 can be simplified to 14/10 and further to 7/5, which is its lowest term.