Dividing Mixed Numbers
In order to divide mixed fractions, we must first convert the mixed fraction to an improper fraction. Then we proceed with the calculation for dividing fractions (i.e. multiplying one fraction by the reciprocal of the other).
If we are given the following problem: , we must first convert both fractions to improper fractions. 1 ½ = 3/2 and 3 ½ = 7/2. We then multiply the first fraction with the reciprocal of the second – which can be reduced to 3/7. If we are given one whole number and one mixed fraction, the procedure is similar. can be written as . We multiply 20 by the reciprocal .