Question

Divide the sum of 3/4 and 5/12 by the reciprocal of -15/8 ×16/27

Answer 1

Ans= -35/27

3/4+5/12=14/12=7/6

divide by reciprocal is same as multiplying.
7/6 x -15/8 x 16/27 = -35/27

Answer 2

first find the sum, $\frac{3}{4} + \frac{5}{12} = \frac{9 + 5}{12} = \frac{14}{12} = \frac{7}{6}$

now find the product, $- \frac{15}{8} * \frac{16}{27} = - \frac{16}{8} * \frac{15}{27} = -2 * \frac{5}{9} = - \frac{10}{9}$

So reciprocal = $- \frac{9}{10}$

Now divide, $\frac{ \frac{7}{6} }{- \frac{9}{10} } = \frac{7}{6} * - \frac{10}{9} = - \frac{10}{6} * \frac{7}{9} = - \frac{5}{3} * \frac{7}{9} = - \frac{35}{27}$

Answer
$- \frac{35}{27}$