Comparing & Ordering Fractions, Decimals & Percents

Lesson Transcript
Instructor: Kelley Lipke

Kelley has been teaching middle school for six years and has a master's degree in educational administration.

In mathematics, numbers must have the same form to be comparable. Learn about comparing and ordering fractions, decimals, and percents. Review the processes for converting fractions and decimals to percents, and work problems to practice converting. Updated: 01/04/2022

Favorite Ice Cream Flavors

Finn, Duke, and Peggy have been asked to use their math powers to solve a problem for their school. Finn finds fractions fun, Duke is devoted to decimals, and Peggy has a passion for percentages. Let's see how they use their powers to solve the problem! Finn's, Duke's and Peggy's school is doing a survey to see what flavor of ice cream is the favorite.

Here are the results:

  • Mint chocolate chip received 48% of the votes
  • Strawberry received ¼ of the votes
  • Cookie dough received 0.27 of the votes

In order to better understand the results of the survey, Finn, Duke, and Peggy need to convert - that is, they need to change - each of the numbers into the same form so that they can compare them.

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Coming up next: Dividing Decimals by Decimals

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  • 0:02 Favorite Ice Cream Flavors
  • 0:51 Converting Fractions…
  • 2:04 Time to Compare
  • 2:46 Practice Converting
  • 3:50 Lesson Summary
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Converting Fractions to Percents

Peggy wants to know the percentage of votes that each flavor of ice cream got. She already knows that mint chocolate chip received 48% of the votes, so she can leave that alone. That one is easy!

Strawberry received ¼ of the votes. To convert a fraction to a percent, Finn can make an equivalent, or equal, fraction with a denominator of 100, since percents are always out of a total of 100.

How can he multiply 4 to get 100? 4 times 25 equals 100. Now do the same thing with the numerator. 1 times 25 equals 25.

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Because percents are out of 100, we can just look at the numerator, the top number of the fraction, to get our percentage: 25% of the votes were for strawberry ice cream.

Converting Decimals to Percents

Now let's look at cookie dough, which had 0.27 of the votes. To convert a decimal to a percent, Duke will multiply by 100. Want an easy way to do this? Simply move the decimal point two spaces to the right.

decimal

27% of the votes were for cookie dough.

Time to Compare

Now that they have all the flavors of ice cream in percent form, they can easily compare them to figure out which flavor was the favorite. Percentages are compared just like whole numbers. We can put them in order from least to greatest.

Here are the flavors of ice cream in order from least favorite to most favorite:

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