Question

Simplify using associative property :

$\frac{-8}{9}\times (\frac{27}{32}\times \frac{-8}{21})$

• A. $\frac{2}{7}$
• B. $\frac{-2}{7}$
• C. $\frac{-8}{21}$
• D. $\frac{-3}{4}$

Answer 1

Answer: (A)

$\frac{2}{7}$

$\frac{-8}{9}\times (\frac{27}{32}\times \frac{-8}{21})=(\frac{-8}{9}\times \frac{27}{32})\times \frac{-8}{21}$ ($\because$ associative property)
$=\left(\frac{-3}{4}\right)\times \frac{-8}{21}$
$=\frac{+2}{7}$