To solve the expression \((450/100 : 180/100 - 105/100) * 240/100\), let's break it down step-by-step.
- Simplify the divisions:
- \(450/100 = 4.5\)
- \(180/100 = 1.8\)
- \(105/100 = 1.05\)
- \(240/100 = 2.4\)
Now the expression looks like this: \[ (4.5 : 1.8 - 1.05) * 2.4 \]
Calculate the division \(4.5 : 1.8\): \[ 4.5 / 1.8 = 2.5 \]
Substitute that back into the expression: \[ (2.5 - 1.05) * 2.4 \]
Subtract: \[ 2.5 - 1.05 = 1.45 \]
Multiply by \(2.4\): \[ 1.45 * 2.4 = 3.48 \]
So, the final result is \(\boxed{3.48}\).