To solve the expression \((4,8:6+2 \frac{2}{5}:1,6) \times 5,6\), we first need to clarify some of the notation used. It appears you are using a mixture of commas and colons, which may denote different operations in various contexts. For this response, I will proceed with the following assumptions:
- The colon (:) denotes division.
- The comma (,) can denote decimal numbers in some regions but can also be understood as a part of the multiplication/computation.
- The fraction \(2 \frac{2}{5}\) translates to \(2.4\).
Let's break down the expression as follows:
Inside the parentheses: Interpret: \[ 4 + \frac{8}{6} + 2.4 + \frac{1}{1.6} \]
- \(\frac{8}{6} = \frac{4}{3} \approx 1.333\)
- \(\frac{1}{1.6} = 0.625\)
Now substituting back: \[ 4 + 1.333 + 2.4 + 0.625 = 8.358 \]
Multiply by 5.6: \[ 8.358 \times 5.6 \]
Performing the multiplication: \[ 8.358 \times 5.6 \approx 46.005 \]
Thus, the end result of the expression \((4,8:6 + 2 \frac{2}{5}:1,6) \times 5,6\) is approximately 46.005.
Please make sure to check the specific notation and meaning of any symbols according to your syllabus, as different educational contexts may interpret them differently!