Answer: [tex]\dfrac{53}{16}\ \text{or}\ 3\dfrac{5}{16}[/tex]
Step-by-step explanation:
Given
Length of board is [tex]16\ \frac{3}{4}[/tex]
It is divided into 4 equal pieces i.e. length of each piece is
[tex]\Rightarrow \dfrac{\frac{64+3}{4}}{4}=\dfrac{67}{16}\ \text{in.}[/tex]
If [tex]\frac{7}{8}[/tex] of an inch is removed from one of the pieces then,
[tex]\Rightarrow \dfrac{67}{16}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{67}{16}-\dfrac{14}{16}=\dfrac{53}{16}\ \text{inch}[/tex]
