Question

$\text{Simplify:}9\frac{1}{2}\times \frac{2}{7}\times \frac{7}{19}\times \frac{1}{5}$

• A. $\frac{1}{5}$
• B. $1$
• C. $\frac{1}{3}$
• D. $\frac{1}{2}$

Answer 1

The correct option is A $\frac{1}{5}$

$9\frac{1}{2}\times \frac{2}{7}\times \frac{7}{19}\times \frac{1}{5}$

$=\frac{19}{2}\times \frac{2}{7}\times \frac{7}{19}\times \frac{1}{5}$

$=(\frac{19}{2}\times \frac{2}{7}\times \frac{7}{19})\times \frac{1}{5}$

$=\left(\frac{19\times 2\times 7}{2\times 7\times 19}\right)\times \frac{1}{5}$

$=1\times \frac{1}{5}$

$=\frac{1}{5}$