 How to Express a Fraction As a Decimal or Percent - dummies

Sometimes it’s easier to work with a fraction by expressing it as a decimal or a percent. If you run into a question like this on the ASVAB Arithmetic Reasoning subtest, the following info will help make these conversions a snap!

Here’s how to convert between forms:

• To change a fraction into a decimal: Divide the numerator (top number) by the denominator (bottom number). Given that handy explanation, 3/5 (or 3 ÷ 5) converted into decimal form is 0.6.

Some fractions convert to repeating decimals—a decimal in which one digit is repeated infinitely. For instance, 2/3 is the same as 0.66666… (with the sixes never stopping).

Repeating decimals are often rounded to the nearest hundredth; therefore, 2/3 rounds to 0.67. (Remember: The first space to the right of the decimal is the tenths place, the second space is the hundredths place, and the third is the thousandths, and so on.)

• To make a decimal into a percent: Move the decimal point two spaces to the right and add a percent sign. For example, 0.6 becomes 60%.

Practice question

1. The population of Grand Island, Nebraska, grew by 600,000 people between 1995 and 2005, one-fifth more than the town council predicted. The town council originally predicted the city’s population would grow by

A. 400,000

B. 500,000

C. 300,000

D. 100,000