Question

What is the quotient of 3 3/4 and 4/9
A.3 15/36
B.3 1/3
C.8 7/16
D.1 2/3

Answer 1

C)
`8(7)/(16)`

Explanation:

Change the mixed fraction into an improper fraction so its easier to solve the expression.

`3(3)/(4)` →
`(15)/(4)`

Now to divide the fractions, flip the second term and multiply that by the first term.

`(15)/(4)` ÷
`(4)/(9)` →
`(15)/(4)` ×
`(9)/(4)`

`(15)/(4)` ×
`(9)/(4)` =
`(135)/(16)`

Then change that improper fraction into a mixed fraction.

`(135)/(16)` →
`8(7)/(16)`

Hope this helps! I apologize if I'm incorrect.