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Percentages and fractions are two different ways to represent a part of a whole. In both cases, they represent a ratio, which is a comparison of two quantities.
A percentage is a ratio where the whole is defined as 100. The word "percent" itself means "per hundred". Therefore, a percentage is a way to represent a ratio or fraction in terms of hundred. For example, if 50 out of 100 apples are red, then 50 percent of the apples are red.
A fraction is another way to represent a part of a whole. Unlike a percentage, which always defines a whole of 100, the denominator of a fraction can have any value. The denominator represents the total number of parts, while the numerator indicates the number of parts considered. For example, in the fraction 3/4, the total number of parts is 4, and we consider 3 of those parts.
Converting percentages to fractions and vice versa is a common mathematical operation. To convert a percentage to a fraction, you divide the percentage by 100 to get the fraction. To go from a fraction to a percentage, you divide the numerator by the denominator and multiply by 100 to get the percentage.