\(\frac{4}{5} - \frac{2}{3}\) -- make the denominators the same, the LCM of 5 and 3 is 15, so multiply the fractions such that the denominators are 15.
\(\frac{12}{15} - \frac{10}{15}\) -- Subtract them like normal.
\(\frac{12}{15} - \frac{10}{15} = \frac{2}{15}\)