Question

simplify:

$(\frac{7}{5}\div\frac{14}{15})\times(\frac{10}{7}\div\frac{5}{3})$

• A. 9/7
• B. 5/7
• C. 6/7
• D. 8/7

Answer 1

Answer:

A. 9/7

$\left(\frac{7}{5}\div\frac{14}{15}\right)\times\left(\frac{10}{7}\div\frac{5}{3}\right)$

Convert each division into multiplication by the reciprocal:

$=\left(\frac{7}{5}\times\frac{15}{14}\right)\times\left(\frac{10}{7}\times\frac{3}{5}\right)$

Simplify each bracket:

First bracket:

$\frac{7\times15}{5\times14}$

$=\frac{15}{10}$

$=\frac{3}{2}$

Second bracket:

$\frac{10\times3}{7\times5}$
$=\frac{30}{35}$
$=\frac{6}{7}$

Now multiply:

$\frac{3}{2}\times\frac{6}{7}$

$=\frac{18}{14}$

$=\frac{9}{7}$

Answer:

$\boxed{\frac{9}{7}}$