To find 8/9 of 3/8 we need to multiply both numbers as follows:
[tex]\begin{gathered} \frac{8}{9}\cdot\frac{3}{8}=\frac{8\cdot3}{9\cdot8}= \\ \text{Simplifying both eigths:} \\ =\frac{3}{9}= \\ \text{ Dividing numerator and denominator by 3:} \\ =\frac{\frac{3}{3}}{\frac{9}{3}}=\frac{1}{3} \end{gathered}[/tex]