Converting Between Fractions, Decimals, and Mixed Numbers

To convert a decimal to a fraction, follow these steps:

  • First, write the given decimal over \(1\) (i.e., write the denominator of the decimal as \(1\) ).
  • Next, multiply both numerator and denominator by \(10\) for every digit on the right side of the decimal. For example, a decimal number \(12.3947\) should be multiplied by \(10000\).
  • Next, simplify the numerator and denominator to get your desired fractional number.

To convert a mixed number to a fraction, follow these steps:

  • First, convert the mixed number into a fraction. To do this just multiply the denominator with the whole part and add it to the numerator. Now just write this answer over the denominator.
  • After conversion, just apply the common division rule to get the desired decimal number.