To solve the expression \( \frac{1.5 - 2}{1.5^2} : \frac{1.5 - 2}{1.5^2} + 3 \times 1.5 \), we will break it down step by step.
Calculate \( 1.5 - 2 \): \[ 1.5 - 2 = -0.5 \]
Calculate \( 1.5^2 \): \[ 1.5^2 = 2.25 \]
Calculate \( \frac{1.5 - 2}{1.5^2} \): \[ \frac{1.5 - 2}{1.5^2} = \frac{-0.5}{2.25} \approx -0.2222 \]
Now substituting back into the expression: The expression simplifies to: \[ -0.2222 : -0.2222 + 3 \times 1.5 \]
Calculating \( 3 \times 1.5 \): \[ 3 \times 1.5 = 4.5 \]
Substituting back in: \[ -0.2222 : -0.2222 + 4.5 \]
Since \( a : a = 1 \) for \( a \neq 0 \): \[ -0.2222 : -0.2222 = 1 \]
Final Result: \[ 1 + 4.5 = 5.5 \]
Thus, the final result of the expression is: \[ \boxed{5.5} \]
