We are given the following complex fraction
![((8)/(1))/((3)/(5))](https://img.qammunity.org/2023/formulas/mathematics/college/zfh1kuff968ff1vs5w9jsydrapjs7cfa4u.png)
8/1 is divided by 3/5
![(8)/(1)/(3)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/h3rjek3laipwbuhom7oqglj4lprquhgubc.png)
Recall that dividing is the same as multiplying by the reciprocal.
The reciprocal of 3/5 is 5/3 (simply invert the fraction)
![(8)/(1)/(3)/(5)=(8)/(1)*(5)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/o4ah8s4nc5n6fevokajrox1uc42nx802ab.png)
Now simply multiply the fractions
![(8)/(1)*(5)/(3)=(40)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/3mfxdvbvxe1lgsu642fvaf66bk8pfvyy0l.png)
Therefore, the simplified fraction is 40/3