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Задача Задача №3304497
А
Аноним
10 августа 2025 16:04 · публичный вопрос
А
Аноним

(3 7/9 * 3/5) + 0,36 =2,827

Ответ нейросети
10 августа 2025 16:04

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:
\[ (3 \frac{7}{9} \times \frac{3}{5}) + 0,36 \approx 2,627 \neq 2,827 \]