Question

Fill in the blank: $\frac{2}{3}\times (-6\times \frac{4}{5})=[.....\times -6]\times ....$

• A. $\frac{2}{3},\frac{4}{5}$
• B. $\frac{-4}{5},\frac{2}{3}$
• C. $\frac{-2}{3},\frac{-4}{5}$
• D. $-6,-6$

Answer 1

The correct option is A $\frac{2}{3},\frac{4}{5}$

Multiplication is associative for rational numbers.
i.e. $a\times (b\times c)=(a\times b)\times c$
$\therefore \frac{2}{3}\times (-6\times \frac{4}{5})=[\frac{2}{3}\times (-6\left)\right]\times \frac{4}{5}$
$\therefore$ The missing terms are $\frac{2}{3},\frac{4}{5}$.