Let's simplify the expression step by step:
The expression given is:
\(-3,6 + 81 : (-9) * 1 \frac{1}{18}\)
First, translate the expression into mathematical notation:
- Replace the comma with a decimal point (assuming -3.6).
- Note that "1 1/18" is a mixed number, which can be converted to an improper fraction: \(1 \frac{1}{18} = \frac{19}{18}\).
- Rewrite the expression:
\(-3.6 + \frac{81}{-9} \cdot 1 \frac{1}{18} = -3.6 + \frac{81}{-9} \cdot \frac{19}{18}\)
Now proceed with the calculations:
Calculate \( \frac{81}{-9} = -9\).
Multiply by \(\frac{19}{18}\):
\(-9 \cdot \frac{19}{18} = \frac{-171}{18}\).
Now simplify \(\frac{-171}{18}\):
\(\frac{-171}{18} = -\frac{171/9}{18/9} = -\frac{19}{2}\).
Next, add -3.6 (or -\frac{36}{10} = -\frac{18}{5}) to the result:
To combine these fractions,
Convert \(-3.6\) to a fraction with a denominator of \(18\):
\(-3.6 = -\frac{36}{10} = -\frac{108}{30} = -\frac{162}{90} = -\frac{54}{18}\).
Now you have:
\(-\frac{54}{18} - \frac{171}{18} = -\frac{225}{18}\).
Finally, divide both the numerator and the denominator by 9:
\(-\frac{25}{2}\).
Therefore, the final simplified answer is:
\(-12.5\) or \(-\frac{25}{2}\).