How to Convert an Improper Fraction to a Mixed Number

Although improper fractions are great for solving math problems, the results may be easier for people to understand if you first convert them to mixed numbers. To convert an improper fraction to a mixed number, you follow two simple steps:

1. Divide the numerator by the denominator.

   For example, suppose you want to write the improper fraction 19/5 as a mixed number. First, divide 19 by 5:

   19 ÷ 5 = 3 r 4

2. Write the mixed number in this way:

   • The quotient (answer) is the whole-number part (3).

   • The remainder of the improper fraction is the numerator (4).

   • The denominator of the improper fraction is the denominator (5).

     So in this example, you would write the mixed number as follows:

     

This method works for all improper fractions. And if you start with a reduced fraction, you don’t have to reduce your answer.