To solve the expression \( 0.56:1.4 + 8.6 \cdot 0.15 - 0.15 \), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
Calculate \( 0.56:1.4 \) (which is the same as \( \frac{0.56}{1.4} \)): \[ \frac{0.56}{1.4} = 0.4 \]
Calculate \( 8.6 \cdot 0.15 \): \[ 8.6 \cdot 0.15 = 1.29 \]
Now, substitute these results back into the expression: \[ 0.4 + 1.29 - 0.15 \]
First, add \( 0.4 + 1.29 \): \[ 0.4 + 1.29 = 1.69 \]
Finally, subtract \( 0.15 \): \[ 1.69 - 0.15 = 1.54 \]
Thus, the final result is \( 1.54 \).