Chapter 4.5, Problem 14P

Here is how Nya solved the problem $\frac{3}{4}.72:$

Half of 72 is 36. Half of 36 is 18. Then, to add 36 and 18, I did 40 plus 14, which is 54.
Write a string of equations that incorporate Nya’s ideas. Which properties of arithmetic did Nya use (knowingly or not), and where? Be thorough and be specific. Write your equations in the following format:

   $\begin{array}{l}\begin{array}{l}\\ \frac{3}{4}.72=someexpression\end{array}\hfill \\ \begin{array}{l}=someexpression\\ =:\end{array}\hfill \end{array}$