# How to Express a Fraction As a Decimal or Percent

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

**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

## Answer and explanation

**The correct answer choice is B.**

Let *x* equal the original number of how much Grand Island would grow. An additional 1/5 would make the population growth 6/5 of *x*:

6 ÷ 5 = 1.2

So, you can express the equation as 1.2*x* = 600,000. To solve for *x,* divide both sides of the equation by 1.2, which gives you *x* = 500,000.