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)](https://img.qammunity.org/2023/formulas/mathematics/college/6zsnkotx4plvslszy1sfdkzrmiwsc06koc.png)
Then, we have
![(3)/(4)/(10)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/miy6cs4cubfezjlzuggmukxj3uottwu9ur.png)
Now, we need to find the reciprocal of the denominator, which is given by
![(3)/(10)](https://img.qammunity.org/2023/formulas/mathematics/high-school/xv0i99tf245fjaur2vesfuk447ix9lp881.png)
Then, the division is converted into a multiplication of fractions,
![(3)/(4)*(3)/(10)](https://img.qammunity.org/2023/formulas/mathematics/college/117dl7wo9d05oz5bnu3akhj4d0h7lw9h0f.png)
which gives
![(3)/(4)*(3)/(10)=(9)/(40)](https://img.qammunity.org/2023/formulas/mathematics/college/bmftqviigp0g83ptxo2gr141jvadai39lr.png)
Therefore, the answer is:
![(9)/(40)](https://img.qammunity.org/2023/formulas/mathematics/high-school/1oebkj9soow29lm8zpq65o2fkr63dhhsr4.png)