Division of a given length of an item into required length, would result to a length lesser than the initial length of the fabric. This ensures that the required length of each piece is [tex]\frac{1}{12}[/tex].
The given fabric has been divided into equal proportion. The length of the small pieces of the given fabric can be determined by dividing the total length of fabric by the number of pieces.
Let the length of each piece required be represented by x.
So that;
given that the total length of the fabric is 2 yards, then;
24x = 2
divide both sides by 24 to have;
x = [tex]\frac{2}{24}[/tex]
= [tex]\frac{1}{12}[/tex]
x = [tex]\frac{1}{12}[/tex] yards.
Thus, each piece of the 24 pieces of fabric has a length of [tex]\frac{1}{12}[/tex] yards.
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