Answer:
![(1)/(8x)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gv6aj0k9v6c15siwe4vywi5r3el61fhcff.png)
Explanation:
Given two fractional terms
. Their common factor is a value or function that can go in both fractional terms. The terms can be written as shown.
![(5)/(8x) = 5 *(1)/(8x)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kwmgorvmbybrgfogm225pfvxav2hcc5zvx.png)
![(11)/(8xy) = 11 * (1)/(8x) * (1)/(y)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xy39dftsoleit30crfv5sgo3rfqhh0ffam.png)
It can be seen from the both equations that they both have
as one of their factors i.e 1/8x is common to both fractional terms. This gives the common factor for the two fractional terms as
![(1)/(8x)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gv6aj0k9v6c15siwe4vywi5r3el61fhcff.png)