Length of wooden flooring strip = [tex]20\frac{1}{2}[/tex] or [tex]\frac{41}{2}[/tex]
Length of strip cut off = [tex]4\frac{3}{4}[/tex] or [tex]\frac{19}{4}[/tex]
So, the new length of the strip will be=
[tex]\frac{41}{2}- \frac{19}{4}[/tex]
=[tex]\frac{82-19}{4}=\frac{63}{4}[/tex]
Hence, the new length of the flooring strip will be [tex]\frac{63}{4}[/tex] inches and in mixed fraction it will be [tex]15\frac{3}{4}[/tex] inches.