The expression is:
![8(1)/(8)/(5)/(6)](https://img.qammunity.org/2023/formulas/mathematics/high-school/5beqdm6u3kzkb8n18c3d0g3fbi8lqnfcmi.png)
To divide this quantities, first we need to convert 8 and 1/8 to a fraction.
We do this as follows:
![8(1)/(8)=(8*8+1)/(8)=(64+1)/(8)=(65)/(8)](https://img.qammunity.org/2023/formulas/mathematics/high-school/mlb27pad515yk3u0f2ubnqtbdla5waeqc1.png)
As you can see, to make the conversion we multiply the whole number by the denomitar and add the numerator (8x8+1) and divide by the same denominator.
So the division to make is:
![(65)/(8)/(5)/(6)](https://img.qammunity.org/2023/formulas/mathematics/high-school/mq89z5gx1ymb1g9oxxjpstzlyvjwc2fach.png)
A division between two fractions is made as follows:
So applying this to our division we get:
![(65)/(8)/(5)/(6)=(65*6)/(8*5)=(390)/(40)=(39)/(4)](https://img.qammunity.org/2023/formulas/mathematics/high-school/pmb09doglb1xzdrgnog2lbf8apjweye8iw.png)
The answer is: 39/4, which represented as a mixed fraction is:
![(39)/(4)=9(3)/(4)](https://img.qammunity.org/2023/formulas/mathematics/high-school/3yv4aa44a2skl19ytvw3w2ypd4gquuv7z0.png)