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 75 divided by 100 [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)] , which can, as you know, be reduced to three divided by four. Alternatively, 75 divided by 100 means 75 division 100, or 0.75. So, 75 percent equation sequence equals 75 divided by 100 equals three divided by four equals 0.75.

You can see from the pizzas below that dividing them into one divided by four and three divided by four, or 25% and 75%, 0.25 and 0.75 always amounts to the same thing.

Summary

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% = .

8.1.2 Writing a Decimal as a Percentage