A percentage is a way of expressing a number as a fraction of 100. It is denoted using the percent sign (%). For example, 50% means 50 out of 100, or half of a whole. Percentages can also exceed 100%, representing values greater than the whole.
To convert a percentage to a fraction, we follow these steps:
The general formula for converting a percentage to a fraction is:
\[\text{Fraction} = \frac{\text{Percentage}}{100}\]
Where:
Let's convert 75% to a fraction:
\[75\% = \frac{75}{100}\]
\[\frac{75}{100} = \frac{3}{4}\]
(We divide both numerator and denominator by their greatest common divisor, which is 25)Let's visualize 75% as a fraction:
This diagram shows 75% (or 3/4) of a circle filled, representing the fraction visually.
Percentages over 100% are valid and can be converted to fractions as well. For example:
These represent values greater than the whole and are common in contexts like growth rates, profits, or comparisons.
Understanding percentage to fraction conversion is crucial in many real-world scenarios:
By mastering this conversion, including percentages over 100%, you'll be better equipped to understand and work with proportions in various contexts.
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