How many 3[tex]\frac{3}{4}[/tex] wires can be cut from a spool of wire that is 100 inches long?
How many inches will be left over?
Number of pieces of wires = length of spool of wire ÷ length of each piece of wire.
Number of pieces = 100 ÷ 3[tex]\frac{3}{4}[/tex] = 100 ÷ [tex]\frac{15}{4}[/tex]
That gives [tex]\frac{100 * 4}{15}[/tex]
Simplifying gives [tex]\frac{400}{15}[/tex] = [tex]\frac{80}{3}[/tex]
This is equivalent to 26[tex]\frac{2}{3}[/tex] pieces
So 26 pieces of wires can be cut from a spool and [tex]\frac{2}{3}[/tex] of a piece will be left over.
