How Do You Turn a Fraction Into a Terminating Decimal?

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

  • Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

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

  • Fluently divide multi-digit numbers using the standard algorithm.

      • How Do You Do Long Division?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!

  • Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

      • How Do You Do Long Division with Decimals?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!

  • Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

      • What is a Terminating Decimal?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!

Further Exploration

  • Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

      • How Do You Turn a Fraction Into a Repeating Decimal?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.