(2,3+5,8) •3 5/7

To solve the expression \( (2,3 + 5,8) \cdot 3\frac{5}{7} \), we first need to interpret the components correctly. It looks like \( 2,3 \) and \( 5,8 \) might represent decimal numbers, in which case we would interpret these as \( 2.3 \) and \( 5.8 \). Next, let’s clarify the notation about the multiplication. If we are multiplying the sum \( 2.3 + 5.8 \) by \( 3\frac{5}{7} \): 1. **Calculate \( 2.3 + 5.8 \)**: \[ 2.3 + 5.8 = 8.1 \] 2. **Convert \( 3\frac{5}{7} \) to an improper fraction**: \[ 3\frac{5}{7} = 3 + \frac{5}{7} = \frac{21}{7} + \frac{5}{7} = \frac{26}{7} \] 3. **Multiply \( 8.1 \) by \( \frac{26}{7} \)**: First, convert \( 8.1 \) to a fraction: \[ 8.1 = \frac{81}{10} \] Now multiply: \[ \frac{81}{10} \cdot \frac{26}{7} = \frac{81 \cdot 26}{10 \cdot 7} \] Calculating the numerator: \[ 81 \cdot 26 = 2106 \] And the denominator: \[ 10 \cdot 7 = 70 \] Putting it together: \[ \frac{2106}{70} \] Now, simplify \( \frac{2106}{70} \): Both numbers are divisible by 2: \[ \frac{2106 \div 2}{70 \div 2} = \frac{1053}{35} \] Next, check if it can be simplified further. The GCD of 1053 and 35 is 1 (they have no common factors), so we cannot simplify it further. Therefore, the final result is: \[ \frac{1053}{35} \] Or approximately \( 30.09 \) if you prefer a decimal representation.