Solution:
Consider the following expression:
![(7)/(8)\text{ x }(4)/(5)](https://img.qammunity.org/2023/formulas/mathematics/college/6uprt7qq2ybfldx85e57q2in5crn4356ud.png)
By definition, to perform this operation we must multiply numerator with numerator and denominator with denominator, as follows:
![(7)/(8)\text{ x }(4)/(5)=\frac{7\text{ x 4}}{8\text{ x 5}}=(28)/(40)](https://img.qammunity.org/2023/formulas/mathematics/college/rqvtqc11gq6a5cbcbcntr002zdluaoekmb.png)
that is:
![(7)/(8)\text{ x }(4)/(5)=(28)/(40)](https://img.qammunity.org/2023/formulas/mathematics/college/c8kqby7rjp9dwkwhwt21igmnbxb0cugeyq.png)
Simplifying, this is equivalent to:
![(7)/(10)](https://img.qammunity.org/2023/formulas/mathematics/college/1amyzg73xwkgf8w9qfhlyq1791dfh2qw46.png)
So that, we can conclude that the correct answer is:
![(7)/(10)](https://img.qammunity.org/2023/formulas/mathematics/college/1amyzg73xwkgf8w9qfhlyq1791dfh2qw46.png)