Let's solve the expression step by step:
Calculate the term inside the first parentheses:
\[ 3.5 - 8 = -4.5 \]Multiply this result by 2.7:
\[ -4.5 * 2.7 = -12.15 \]Calculate the term inside the second parentheses:
\[ 3 - 11^2 = 3 - 121 = -118 \]Now multiply this by 5:
\[ -118 * 5 = -590 \]Now divide 2.5 by the result obtained in step 4:
\[ 2.5 : -590 = \frac{2.5}{-590} = -\frac{2.5}{590} = -\frac{1}{236} \]Now we can combine the two results from steps 2 and 5:
\[ -12.15 - \frac{1}{236} \]
To add these two numbers, we can convert -12.15 to a fraction:
\[
-12.15 = -\frac{1215}{100}
\]
Finding a common denominator (which is 23600) allows us to add:
\[
-\frac{1215 \times 236}{23600} - \frac{100}{23600} = -\frac{287340 + 100}{23600} = -\frac{287440}{23600}
\]
So, the final result of the expression is: \[ -\frac{287440}{23600} \] This fraction can be simplified if needed. However, the exact numerical answer would be approximately \( -12.15 - 0.0042 \approx -12.1542 \).
Would you like me to further simplify it or provide additional insights?
