Students learn to divide mixed numbers by first rewriting the mixed numbers as improper fractions, then dividing the improper fractions, then rewriting the resulting improper fraction as a mixed number, if necessary. For example, to simplify 3 1/3 1 4/7, first rewrite the mixed numbers as improper fractions, to get 10/3 11/7. Next, change the division sign to multiplication and flip the second fraction, to get 10/3 x 7/11. Next, multiply across the numerators and denominators to get 70/33. Finally, rewrite 70/33 as the mixed number 2 4/33.