Divide the numerator by the denominator. Write the quotient as the whole number of the mixed number. For example, the improper fraction 14/5 divides to become 2 with remainder 4 (14/5 = 2 r 4).
Place the remainder over the denominator of the improper fraction. Continuing the example, the remainder 4 is placed over the improper fraction's denominator of 5 to become 4/5. This yields a final answer of 2 4/5 as the mixed number for the improper fraction of 14/5.
Convert back to an improper fraction from a mixed number by multiplying the whole number with the denominator and adding the product to the numerator. For instance, to convert the mixed number 1 5/6 to an improper fraction, multiply the whole number 1 by the denominator 6 to produce 6. This is added to the numerator 5 for a total of 11 (6 + 5 = 11). Eleven over the denominator 6 results in the improper fraction 11/6.