Question

How do you divide rational mixed numbers?

Answer 1

First, transform mixed rational numbers into improper fractions (the ones with numerator greater than denominator).
Then perform a division according to general rules of operation on fractions.

For instance, you have to divide `30 3/5` by `6 3/8`.

The first number produces `30 3/5=153/5` and
the second number produces `6 3/8=51/8`.

Now we can divide:
`(153/5)/(51/8)=(153*8)/(5*51)`

The resulting fraction can be reduced and, if it is improper, transformed mixed rational number.

`(153*8)/(5*51)=(3*8)/5=24/5=4 4/5`