Question

What is –3 2/3 · (–2 1/4 )?

Answer 1

$-3\frac{2}{3}\cdot\left(-2\frac{1}4{}\right)=\\--------------------\\negative\ number\ multiply\ by\ negative\ number\ is\ a\ positive\ number\\--------------------\\-3\frac{2}{3}\cdot\left(-2\frac{1}4{}\right)=3\frac{2}{3}\cdot2\frac{1}{4}=\\------------------------------$

if you want to multiply mixed numbers you need to turn them into improper fractions

$3\frac{2}{3}\cdot2\frac{1}{4}=\frac{3\cdot3+2}{3}\cdot\frac{2\cdot4+1}{4}=\frac{9+2}{3}\cdot\frac{8+1}{4}=\frac{11}{3}\cdot\frac{9}{4}=\frac{11}{1}\cdot\frac{3}{4}=\frac{11\cdot3}{1\cdot4}\\\center\boxed{=\frac{33}{4}=8\frac{1}{4}}$