To solve the expression \( 296.2 - 2.7 \times 6.6 + 6 \times 0.15 \), we will follow the order of operations (PEMDAS/BODMAS).
Calculate \( 2.7 \times 6.6 \): \[ 2.7 \times 6.6 = 17.82 \]
Calculate \( 6 \times 0.15 \): \[ 6 \times 0.15 = 0.9 \]
Now substitute these values back into the expression: \[ 296.2 - 17.82 + 0.9 \]
- Now perform the subtraction and addition from left to right:
First, calculate \( 296.2 - 17.82 \): \[ 296.2 - 17.82 = 278.38 \]
Then add \( 0.9 \): \[ 278.38 + 0.9 = 279.28 \]
Thus, the final result is: \[ \boxed{279.28} \]