Alright, lets get started.
The length of each section what carpenter needs to cut is 3 feet and 8 inches.
Converting 3 feet and 8 inches into feet only, we know, [tex]12 inches = 1 feet[/tex]
So, 3 feet 8 inches = [tex]3 +\frac{8}{12} =3 +\frac{2}{3} =\frac{11}{3}[/tex] feet
It means length of each section = [tex]\frac{11}{3}[/tex] feet
Carpenter needs to cut 4 sections, so length of 4 sections will be = [tex]4*\frac{11}{3}=\frac{44}{3}=14\frac{2}{3} feet[/tex]
2/3 feet means 8 inches so she needs board 14 feet 8 inches
Board is only sold by the feet only so, she has to puchase 15 feet board. : Answer
Hope it will help :)