Question

Simplify using associative property :

$\frac{7}{16}\times (\frac{-24}{49}\times \frac{28}{15})$

• A. $\frac{28}{15}$
• B. $\frac{2}{5}$
• C. $\frac{-2}{5}$
• D. $\frac{-3}{15}$

Answer 1

The correct option is C $\frac{-2}{5}$

$\frac{7}{16}\times (\frac{-24}{49}\times \frac{28}{15})=(\frac{7}{16}\times \frac{-24}{49})\times \frac{28}{15}$ (associative property)

$=(\frac{1}{2}\times \frac{-3}{7})\times \frac{28}{15}$

$=\frac{-3}{14}\times \frac{28}{15}$

$=\frac{-2}{5}$