Let's verify the calculation step by step:
Given expression:
\[
\left(3 \frac{7}{9} \times \frac{3}{5}\right) + 0{,}36
\]
First, convert the mixed number \(3 \frac{7}{9}\) to an improper fraction:
\[ 3 \frac{7}{9} = \frac{3 \times 9 + 7}{9} = \frac{27 + 7}{9} = \frac{34}{9} \]
Now, multiply \(\frac{34}{9}\) by \(\frac{3}{5}\):
\[ \frac{34}{9} \times \frac{3}{5} = \frac{34 \times 3}{9 \times 5} = \frac{102}{45} \]
Simplify \(\frac{102}{45}\):
Divide numerator and denominator by 3:
\[ \frac{102 \div 3}{45 \div 3} = \frac{34}{15} \]
Convert \(\frac{34}{15}\) to a decimal:
\[ \frac{34}{15} \approx 2.2667 \]
Add 0.36:
\[ 2.2667 + 0.36 = 2.6267 \]
Compare to 2.827:
\[ 2.6267 \neq 2.827 \]
Conclusion:
The left side evaluates to approximately 2.627, which does not equal 2.827. Therefore, the initial statement is incorrect.
Final answer:
\[
(3 \frac{7}{9} \times \frac{3}{5}) + 0,36 \approx 2,627 \neq 2,827
\]