Perform the operation and simplify the answer fully.

To solve the operation ( frac{4}{3} div frac{3}{2} ), we need to multiply by the reciprocal of the second fraction:

1. Find the reciprocal of ( frac{3}{2} ), which is ( frac{2}{3} ).
2. Multiply:

[

frac{4}{3} times frac{2}{3} = frac{4 times 2}{3 times 3} = frac{8}{9}

]

So, the simplified answer is ( frac{8}{9} ).

The correct option is A) 8/9. If you have more questions, feel free to ask!