(-2/3) ÷ (3/4) = -2/3 x 4/3 = __/9

1 answer

To solve the expression \((-2/3) ÷ (3/4)\) and express it in the form of \(__/9\), let's follow the steps:

  1. We can rewrite the division by multiplying by the reciprocal: \[ (-2/3) ÷ (3/4) = (-2/3) \times (4/3) \]

  2. Now, we can multiply the fractions: \[ (-2/3) \times (4/3) = \frac{-2 \times 4}{3 \times 3} = \frac{-8}{9} \]

Therefore, \((-2/3) ÷ (3/4) = \frac{-8}{9}\), which means:

\[ \frac{-8}{9} = \frac{__}{9} \]

So, the answer is:

\[ \boxed{-8} \]