How Do You Turn a Repeating Decimal Into a Fraction?

How Do You Turn a Repeating Decimal Into a Fraction?

Note:

If you have a repeating decimal, you can rewrite it as a fraction! Check out this tutorial to learn how to convert a repeating decimal into a fraction.

Keywords:

  • repeating
  • decimals
  • decimal
  • convert
  • fraction

Background Tutorials

  • Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

      • What is a Variable?What is a Variable?

      What is a Variable?

      You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

  • Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.

      • What's the Subtraction Property of Equality?What's the Subtraction Property of Equality?

      What's the Subtraction Property of Equality?

      Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the subtraction property of equality, and it lets you subtract the same number from both sides of an equation. Watch the video to see it in action!

      • What's the Multiplication Property of Equality?What's the Multiplication Property of Equality?

      What's the Multiplication Property of Equality?

      Solving equations can be tough, especially if you've forgotten or have trouble understanding the tools at your disposal. One of those tools is the multiplication property of equality, and it lets you multiply both sides of an equation by the same number. Watch the video to see it in action!

  • 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 Repeating Decimal?What is a Repeating Decimal?

      What is a Repeating Decimal?

      A repeating decimal is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending. Did you know that all repeating decimals can be rewritten as fractions? To make these kinds of decimals easier to write, there's a special notation you can use! Learn about repeating decimals in this tutorial.

  • Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

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.