Write each percent as a fraction. Give answers in lowest terms. 35%
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Start by understanding that a percent is a way of expressing a number as a fraction of 100. So, 35% can be written as .
Next, simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of 35 and 100 is 5. Divide both the numerator and the denominator by their GCD.
Perform the division: .
Write the simplified fraction, which is the fraction in 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 represents a part per hundred and is denoted by the symbol '%'. To convert a percentage to a fraction, you place the percentage value over 100. For example, 35% means 35 out of 100, which can be expressed as the fraction 35/100.
Simplifying Fractions
Simplifying a fraction involves reducing it to its lowest terms by dividing both the numerator and the denominator by their greatest common divisor (GCD). For instance, the fraction 35/100 can be simplified by dividing both 35 and 100 by 5, resulting in 7/20.
A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. This means that the fraction cannot be simplified any further. For example, 7/20 is in lowest terms because 7 and 20 share no common factors.