To solve the expression \((8,334 + 3,75 \times 0,48 - 20,8 \times 4,65) : 4,62\), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
First, calculate the multiplication:
- \(3,75 \times 0,48 = 1,8\)
- \(20,8 \times 4,65 = 96,84\)
Now substitute these values back into the expression: \[ (8,334 + 1,8 - 96,84) : 4,62 \]
Next, perform the addition and subtraction inside the parentheses:
- \(8,334 + 1,8 = 10,134\)
- \(10,134 - 96,84 = -86,706\)
Now, substitute back into the expression: \[ -86,706 : 4,62 \]
Finally, perform the division: \[ -86,706 \div 4,62 \approx -18,77 \]
Therefore, the result of the original expression is approximately \(-18,77\).
