To solve this expression, we first need to simplify the terms inside the parentheses.

(1/4 - 2/3) = (3/12 - 8/12) = (-5/12)

(4/5 - 2/5) = (2/5)

Now, we multiply the simplified terms:

(-5/12) (2/5) (-3/5) = (-5/12) (2/5) (-3/5)

To multiply fractions, multiply the numerators together and the denominators together:

(-5 2 -3) / (12 5 5) = (30) / (300)

Now, simplify the fraction:

30 ÷ 300 = 1/10

Therefore, the final answer is 1/10.