So we apply our knowledge of division.
Since the length of the wood is
[tex]3\frac{1}{3}[/tex]yards and it has been cut into 5 shelves of equal length
We carry out the division as follows
[tex]\frac{3\frac{1}{3}}{5}[/tex]
Let us change the numerator in to improper fraction.
[tex]\frac{\frac{10}{3}}{5}[/tex]
We can still rewrite to obtain,
[tex]\frac{\frac{10}{3}}{\frac{5}{1}}[/tex]
We can change to division sign so we can see the fractions clearly. This implies that,
[tex]\frac{10}{3}[/tex]÷[tex] \frac{5}{1}[/tex]
Let us now multiply with the reciprocal
[tex]\frac{10}{3}\times\frac{1}{5}[/tex]
We simplify to obtain
[tex]\frac{2}{3}\times\frac{1}{1}[/tex]
Hence each self is
[tex]\frac{2}{3}[/tex] yards long