Answer:
Number of pieces=7
Length of board remaining=[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
We are given that a carpenter has board of length=6 foot
Length of each piece of board=[tex]\frac{4}{5}[/tex] foot
We have to find the number pieces of given length of piece can be made from given board.
In order to find the number of pieces we will divide the total length of board by the length of each piece.
Therefore, number of pieces =[tex]\frac{6}{\frac{4}{5}}[/tex]
Number of pieces=[tex]7\frac{1}{2}[/tex]
Length of each piece =[tex]\frac{4}{5}[/tex]
Therefore, number of pieces=7
Length used in 7 pieces =[tex]7\times\frac{4}{5}=\frac{28}{5}[/tex]
Length of board remaining=[tex]6-\frac{28}{5}=\frac{2}{5}[/tex]
