Fractions to Decimals

Contributor: Rachel Lewis. Lesson ID: 12780

How quickly can you add 7/25 and 12/34? There is a simple way to convert those fractions to a form that's easier to work with. Sing and play your way to converting fractions to decimals the easy way!



learning style
personality style
Golden Retriever
Grade Level
Middle School (6-8)
Lesson Type
Skill Sharpener

Lesson Plan - Get It!

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Your help is needed to complete a top secret math mission! The Master Math computer has been hacked and the password was reset. To get back into the computer, you will need to convert fractions into decimals.

  • Can you crack the code?

Here is your first mission: Convert 25 into a decimal.

  • How will you complete your mission?
  • What do you need to do to convert a fraction to a decimal?
  • Did you think about division?

You can use long division to convert a fraction to a decimal. Simply divide the numerator (the top number) by the denominator (the bottom number) to find the equivalent decimal.

  • For example, what is the decimal form of 25?
    0 . 4 < 5 is bigger than 2, so it divides in 0 times. Then, put in the decimal point.
  5 2 . 0 < 2.0 is the same as 2. Ignore the decimal. How many times does 5 go into 20?
  - 2   0 < 5 goes into 20 4 times. Write the 4 behind the decimal point.
        0 < Finish the long division problem. 20 - 20 has a remainder of zero.


So, 25 is equal to 0.4!

Watch more examples with a video. Take notes as you watch Math Antics - Convert any Fraction to a Decimal.

  • What is the difference between the hard way and the easy way to convert fractions to decimals?
  • Where do you point the decimal point?

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Answer the following questions on a piece of paper:

  1. Where does the numerator go in the division problem?
  2. Where does the denominator go in the division problem?
  3. What two things do you add to the numerator in the division problem?

While you may need to convert fractions into decimals for homework, fractions and decimals are also used in science and statistics.

  • When do you think you will need to change fractions into decimals in real life?

Go to the Got It? section to find your next mission.

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