Divide the sum of 3/8 and -5/12 by the reciprocal of 16/27 x(-15)/8

First find the sum of 3/8 and -5/12

That is

3/8 - 5/12

First find the common denominator

The common denominator is 24

We get

3/8 - 5/12 = 3(3) - 5(2) / 24

= 9 - 10 / 24

= - 1 / 24

Next find the product of 16/27 x(-15)/8

That's

16/27 × -15/8

= -10/9

Next reverse -10/9

Which is -9/10

Next we divide it by = -1 /24

so we get

-1/24 ÷ -9/10

Change the sign to (×) and reverse the second fraction

We get

-1/24 × -10/9

= 5 / 108

Hope this helps