Answer: There are 27 pieces will be cut to use for the gift boxes.
Step-by-step explanation:
Since we have given that
Length of paper for one box the student will use is given by
[tex]\frac{11}{3}[/tex]
Length of paper for other box the student will use is given by
[tex]\frac{5}{6}[/tex]
Length of paper must be cut into pieces is given by
[tex]\frac{1}{6}[/tex]
Number of pieces is used for the gift boxes is given by
[tex]\frac{\frac{11}{3}+\frac{5}{6}}{\frac{1}{6}}\\\\=\frac{\frac{22+5}{6}}{\frac{1}{6}}\\\\=\frac{\frac{27}{6}}{\frac{1}{6}}\\\\=27[/tex]
So, there are 27 pieces will be cut to use for the gift boxes.