Chapter 5.1, Problem 14P

Manda says that

$3\frac{2}{3}.2\frac{1}{5}.=3.2+\frac{2}{5}.\frac{1}{5}$

Explain why Manda has made a good attempt, but her answer is not correct. Explain how to work with what Manda has already written and modify it to get the correct answer. In other words, don’t just start from scratch and show Manda how to do the problem, but rather take what she has already written, use it, and make it mathematically correct. Which property of arithmetic is relevant to correcting Manda’s work? Explain