Question

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

Answer 1

Dividing by a fraction means to multiply for that fraction's inverse: if you want to divide by `\frac{2}{3}`, you have to multiply by `\frac{3}{2}`.

In your case, you want to divide by `\frac{4}{3}`, and thus you have to multiply by `\frac{3}{4}`.

So, you have that `\frac{x}{y}=\frac{\frac{3}{8}}{\frac{4}{3}}=\frac{3}{8}\cdot\frac{3}{4}=\frac{9}{32}`.