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
]
