-3,96+(-8,7)-7,04-(30,7)+(-1,25:3+1/6)•(-8/9)=

Let's break down the calculation step by step:

1. First, we need to simplify the fraction and the division in the expression:

   \(-1.25 \div 3 = -\frac{1.25}{3} = -\frac{5}{12}\).

2. Now, \( -\frac{5}{12} + \frac{1}{6} \):

   To combine these fractions, we need a common denominator. The least common multiple of 12 and 6 is 12. We can rewrite \( \frac{1}{6} \) as \( \frac{2}{12} \):

   \[ -\frac{5}{12} + \frac{2}{12} = -\frac{5 - 2}{12} = -\frac{3}{12} = -\frac{1}{4}. \]

3. Now, we substitute \( -\frac{1}{4} \) back into the expression:

   \[ -3.96 + (-8.7) - 7.04 - 30.7 + \left(-\frac{1}{4}\right) \cdot \left(-\frac{8}{9}\right). \]

4. Next, calculate \( -\frac{1}{4} \cdot -\frac{8}{9} \):

   \[ -\frac{1}{4} \cdot -\frac{8}{9} = \frac{1 \cdot 8}{4 \cdot 9} = \frac{8}{36} = \frac{2}{9}. \]

5. Now we substitute back into the expression:

   \[ -3.96 - 8.7 - 7.04 - 30.7 + \frac{2}{9}. \]

6. We can first calculate the sum of the first four terms:

   \[ -3.96 - 8.7 = -12.66, \] \[ -12.66 - 7.04 = -19.7, \] \[ -19.7 - 30.7 = -50.4. \]

7. Now, we combine this with \( +\frac{2}{9} \):

   To do this, first convert \(-50.4\) into a fraction. Since \(-50.4\) is equal to \(-\frac{504}{10}\) (and simplifying gives \(-\frac{252}{5}\)), we will also convert \(\frac{2}{9}\) to a common denominator. The least common multiple of 5 and 9 is 45.

   Converting both fractions:

   \[ -\frac{252}{5} = -\frac{252 \cdot 9}{45} = -\frac{2268}{45}, \] \[ \frac{2}{9} = \frac{2 \cdot 5}{45} = \frac{10}{45}. \]

8. Now, combine:

   \[ -\frac{2268}{45} + \frac{10}{45} = -\frac{2268 - 10}{45} = -\frac{2258}{45}. \]

9. Thus, the final answer for the given expression is:

   \[ -\frac{2258}{45}. \]

So the result of the expression is \( \boxed{-\frac{2258}{45}} \) or approximately -50. bih. However, if you'd like a numerical approximation, then:

\(-\frac{2258}{45} \approx -50.4\).