# How do you evaluate x/y for x=3/8 and y=4/3?

Dividing by a fraction means to multiply for that fraction's inverse: if you want to divide by $\setminus \frac{2}{3}$, you have to multiply by $\setminus \frac{3}{2}$.
In your case, you want to divide by $\setminus \frac{4}{3}$, and thus you have to multiply by $\setminus \frac{3}{4}$.
So, you have that $\setminus \frac{x}{y} = \setminus \frac{\setminus \frac{3}{8}}{\setminus \frac{4}{3}} = \setminus \frac{3}{8} \setminus \cdot \setminus \frac{3}{4} = \setminus \frac{9}{32}$.