Answer:
Step-by-step explanation:
The complete question is
"Morgan has an 8 1/2-foot board that must be cut into boards that are 5/6 feet long. How many of the smaller boards can he get from the 81/2-foot board?"
First, we need to transform the mixed number into a fraction:
[tex]8\frac{1}{2} =\frac{17}{2}[/tex]
According to the problem, each smaller board is 5/6 feet long.
So, we need to divide to know the total number of smaller board Morgan can get:
[tex]\frac{\frac{17}{2} }{\frac{5}{6} }=\frac{102}{10}=10.2[/tex]
Therefore, Morgan would get 10 complete smaller boards from the bigger one.