Question

Divide. Write your answer as a fraction or a mixed number in simplest form.

Answer 1

In order to compute the division, we need to convert the mixed fraction form of the denominator into a simple form, that is,

`3(1)/(3)=(3*3+1)/(3)=(10)/(3)`

Then, we have

`(3)/(4)/(10)/(3)`

Now, we need to find the reciprocal of the denominator, which is given by

`(3)/(10)`

Then, the division is converted into a multiplication of fractions,

`(3)/(4)*(3)/(10)`

which gives

`(3)/(4)*(3)/(10)=(9)/(40)`

Therefore, the answer is:

`(9)/(40)`