Step-by-step explanation:
A builder is building a fence with 6 and 1/4 inch wide wooden boards arranged side-by-side with no gaps.
[tex]\texttt{Length of 1 board = }6\frac{1}{4}in\\\\\texttt{Length of 1 board = }\frac{6\times 4+1}{4}=\frac{25}{4}in[/tex]
We need to build a fence that is 150 in long.
Length of fence = Number of boards required x Length of 1 board
[tex]150=\texttt{Number of boards required }\times \frac{25}{4}\\\\\texttt{Number of boards required }=\frac{150\times 4}{25}\\\\\texttt{Number of boards required }=6\times 4=24[/tex]
Number of boards required = 24
