To solve the expression \( 247:284 + (582:(374 - (-2837)))*484 \), we will follow the standard order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).
Start with the parentheses: \[ 374 - (-2837) = 374 + 2837 = 3211 \]
Now, substitute that back into the expression: \[ 247:284 + (582 : 3211) * 484 \] Here, ":" denotes division. So we can rewrite it: \[ \frac{247}{284} + \left( \frac{582}{3211} \right) * 484 \]
Calculate \( \frac{247}{284} \): \[ \frac{247}{284} \approx 0.8694 \]
Calculate \( \frac{582}{3211} \): \[ \frac{582}{3211} \approx 0.181 \]
Now multiply that result by 484: \[ 0.181 * 484 \approx 87.564 \]
Finally, add the two results: \[ 0.8694 + 87.564 \approx 88.4334 \]
Thus, the result of the expression \( 247:284 + (582:(374 - (-2837)))*484 \) is approximately \( 88.4334 \).
