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How Do You Turn a Fraction Into a Terminating Decimal?

Note:

Did you know that a fraction just represents a division? To turn a fraction into a decimal, divide the numerator by the denominator. In this tutorial, see how to convert a fraction into the terminating decimal it represents.

Keywords:

  • long division
  • decimal
  • fraction
  • convert
  • terminating decimal
  • divide
  • remainder
  • zero remainder
  • numerator
  • denominator
  • divisor
  • dividend

Background Tutorials

  • Rational Number Definitions

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        What is a Terminating Decimal?

      What is a Terminating Decimal?

      A terminating decimal is a decimal that ends. It's a decimal with a finite number of digits. Did you know that all terminating decimals can be rewritten as fractions? Watch this tutorial to learn about terminating decimals and see some examples!

  • Decimal Operation Problems

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        How Do You Do Long Division with Decimals?

      How Do You Do Long Division with Decimals?

      We know that calculators are everywhere, but that doesn't mean that long division isn't important! Sometimes you won't be allowed to use a calculator, and when those times occur, you'll be thankful that you watched this video!

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        What are Trailing Zeros?

      What are Trailing Zeros?

      Ever wondered about the zeros that come at the end of a decimal number? What are those things anyway? Do they actually matter in terms of the value of the number? Watch the tutorial and see for yourself :)

  • Fractions

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        What's a Numerator and What's A Denominator?

      What's a Numerator and What's A Denominator?

      Numerators and denominators are the key ingredients that make fractions, so if you want to work with fractions, you have to know what numerators and denominators are. Lucky for you, this tutorial will teach you some great tricks for remembering what numerators and denominators are all about.

  • Dividing Integers

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        How Do You Do Long Division?

      How Do You Do Long Division?

      We know that calculators are everywhere, but that doesn't mean that long division isn't important! Sometimes you won't be allowed to use a calculator, and when those times occur, you'll be thankful that you watched this video!

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      • |
        What's a Dividend and What's a Divisor?

      What's a Dividend and What's a Divisor?

      When you do division problems, you need to know the vocabulary that people use to describe what number is being divided, and what number is doing the dividing. This tutorial will help you keep that vocabulary straight!

Further Exploration

  • Converting Decimals and Fractions

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        How Do You Turn a Fraction Into a Repeating Decimal?

      How Do You Turn a Fraction Into a Repeating Decimal?

      Did you know that a fraction just represents a division? To turn a fraction into a decimal, divide the numerator by the denominator. In this tutorial, see how to convert a fraction into the repeating decimal it represents.

  • Comparing Rational Numbers

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        How Do You Compare Fractions by Converting to Decimals?

      How Do You Compare Fractions by Converting to Decimals?

      Comparing fractions with unlike denominators? You could convert each fraction to a decimal and compare the decimals on a number line. Check out this tutorial to see how you can compare fractions with unlike denominators!