To divide mixed fractions/mixed numbers, do the following steps;

1.  Convert the mixed fractions (mixed numbers) to improper fractions.

2.  MULTIPLY the first fraction by the inverse of the second fraction(swap the numerator and denominator).

3.  Reduce to simplest form.

IN THIS EXAMPLE:

1.  1 1/2 will be converted to 3/2, and 3 1/4 will be converted to 13/4.

2.  Multiply 3/2 x 4/13 = 12/26

3.  Reduce.  12/26 = 6/13

We are asked to divide 1 1/2 by 3 1/4.

First we change the mixed numbers to improper fractions.

=>  1 1/2 = 3/2

=>  3 1/4  = 13/4

We can now write the problem as (3/2) / (13/4)

=> Invert the second fraction and multiply.

=> (3/2) x (4/13)

=> The answer is 12/26 which reduces to 6/13.

The answer is 6/13.