Answer: The required result is
![40(3)/(8).](https://img.qammunity.org/2019/formulas/mathematics/high-school/bnmn94mx2yckwadn6jqqc2gb1x68xuya9e.png)
Step-by-step explanation: We are given to perform the following indicated operation :
![E=7(1)/(8)*5(2)/(3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)](https://img.qammunity.org/2019/formulas/mathematics/high-school/vfdc2z1utaw87ia4m836pg3dj1xmbdsbne.png)
To perform the given multiplication, first we need to convert the mixed fraction to improper fraction.
The simplification of the given operation is as follows :
![E\\\\\\=7(1)/(8)*5(2)/(3)\\\\\\=(57)/(8)*(17)/(3)\\\\\\=(19*17)/(8)\\\\\\=(323)/(8)\\\\\\=40(3)/(8)](https://img.qammunity.org/2019/formulas/mathematics/high-school/9atyuyukndjayb9cwveos0500dcalipixz.png)
Thus, the required result is
![40(3)/(8).](https://img.qammunity.org/2019/formulas/mathematics/high-school/bnmn94mx2yckwadn6jqqc2gb1x68xuya9e.png)