You can represent rational numbers in a variety of ways. Recall that a rational number is a number that can be expressed as a ratio of two integers.

For example, the fraction 2 over 4 2 4 is a ratio of the integers 2 and 4. It can be written as a fraction or as a decimal.

Use the interactive below to review how to convert among different representations of rational numbers. Click on the conversion you want to perform to see more information about how to perform that conversion.

Practice

1. Elaine baked a batch of 24 cupcakes and iced 18 of them. What percent of the cupcakes were iced?

   Interactive popup. Assistance may be required.

   Need a Hint?

   What fraction of the cupcakes was iced?
   Interactive popup. Assistance may be required.

   Check Your Answer

   18 over 24 18 24 = 3 over 4 3 4 = 75 over 100 75 100 = 75%
2. Demetrius had a batting average of 0.125. A batting average is an expression of the ratio of hits to at-bats. What percent of the time should Demetrius expect to hit the baseball?

   Interactive popup. Assistance may be required.

   Need a Hint?

   Percent means “per hundred,” so what power of 10 should you multiply the decimal by to generate a percent?
   Interactive popup. Assistance may be required.

   Check Your Answer

   0.125 × 100 → 12.5%
3. According to a recent survey, 55% of the 8th graders at Lincoln Middle School plan to vote for Marguerite as the 8th grade class president. What fraction of the 8th graders does this represent?

   Interactive popup. Assistance may be required.

   Need a Hint?

   Percent means “per hundred,” so what power of 10 should you use as the denominator in your initial fraction?
   Interactive popup. Assistance may be required.

   Check Your Answer

   55% = 55 over 100 55 100 = 11 over 20 11 20