Write each percent as a fraction. Give answers in lowest terms. 51%
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Start by understanding that a percent is a way of expressing a number as a fraction of 100. So, 51% means 51 out of 100.
Write 51% as a fraction: .
Check if the fraction can be simplified by finding the greatest common divisor (GCD) of 51 and 100.
Determine the GCD of 51 and 100. Since 51 is a product of 3 and 17, and 100 is a product of 2 and 5, they have no common factors other than 1.
Since the GCD is 1, the fraction is already in its simplest form.
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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, 51% means 51 out of 100, which can be represented as the fraction 51/100. Understanding percentages is crucial for converting them into fractions.
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, the percentage is placed over 100, and simplification may be necessary to express it in lowest terms.
A fraction is in lowest terms when the numerator and denominator have no common factors other than 1. To simplify a fraction, one must divide both the numerator and denominator by their greatest common divisor (GCD). This process ensures that the fraction is expressed in its simplest form.