8.1.1 Writing a Percentage as a Fraction or Decimal
Fractions, decimals, and percentages are all interchangeable, so you can choose to use whichever is most appropriate for your situation. From the definition of a percentage, 75% means , which can, as you know, be reduced to . Alternatively, means , or 0.75. So, .
You can see from the pizzas below that dividing them into and , or 25% and 75%, 0.25 and 0.75 always amounts to the same thing.
To change a percentage to a fraction or decimal, interpret the percent symbol to mean “divided by 100.” You then have a choice to display your result as a fraction or decimal.
Since dividing a number by 100 has the same effect as moving its decimal point two places to the left, you have a valuable shortcut when you turn a percent into a decimal. [ Looking for the decimal point in a whole number? Remember, the decimal point can be inserted at the end of your number behind the ones place. ]
For example: 6% = .