How are percents like fractions?
example
A percent shows part of 100.
Examples:
20% = 20/100 = 1/5
75% = 75/100 = 3/4
Percentages and fractions are similar in that they both represent parts of a whole. Here's an example to illustrate the connection between percents and fractions:
Let's take the percentage 25%. To understand how this can be represented as a fraction, we can use the fact that "percent" means "per hundred." So 25% is equivalent to 25 per hundred or 25/100.
To simplify this fraction, we divide both the numerator (25) and the denominator (100) by their greatest common divisor, which in this case is 25.
25 ÷ 25 = 1
100 ÷ 25 = 4
Therefore, 25% can be simplified to 1/4 as a fraction. So, 25% is the same as 1/4 of a whole.
In summary, when converting a percentage to a fraction, divide the percentage by 100 and simplify if necessary. This representation helps us understand what portion or fraction of a whole the percentage represents.