Question

Simplify using associative property :

$\frac{-11}{7}\times \frac{4}{14}\times \frac{21}{33}$

• A. $1$
• B. $-1$
• C. $\frac{-2}{7}$
• D. $\frac{2}{7}$

Answer 1

Answer: (C)

$\frac{-2}{7}$

$\frac{-11}{7}\times \frac{4}{14}\times \frac{21}{33}=\frac{-11}{7}\times (\frac{4}{14}\times \frac{21}{33})=\frac{-11}{7}\times (\frac{21}{33}\times \frac{4}{14})$ ($\because$ commutative property)

$=(\frac{-11}{7}\times \frac{21}{33})\times \frac{4}{14}(\because$ associative property)

$=-1\times \frac{4}{14}=-\frac{2}{7}$