Question

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Answer 1

\[\left(-\frac{3}{8}\right)\left(-\frac{2}{9}\right)\]When multiplying these, you can look for common multiples that can cancel each other out. \[\left(-\frac{\color{green}{3}}{\color{blue}{8}}\right)\left(-\frac{\color{blue}2}{\color{green}9}\right)\]

Answer 2

You know that 3 goes into 9, 3 times, and 2 goes into 8, 4 times, so you can simplify these. \[\left(-\frac{1\cancel{\color{green}{3}}}{4\cancel{\color{blue}{8}}}\right)\left(-\frac{1\cancel{\color{blue}2}}{3\cancel{\color{green}9}}\right)\]

Answer 3

You know that (-1)(-1) = +1, so using this idea, our fractions will become positive.\[\left(\frac{1}{4}\right)\left(\frac{1}{3}\right) = \frac{1}{4 \cdot 3}\] Now just simplify :)