Question

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

Answer 1

757

Explanation:

Answer 2

Explanation:

Sum of 3/8 and -5/12:

Least common denominator of 8 & 12 = 24

`(3)/(8)+(-5)/(12)=(3*3)/(8*3)+(-5*2)/(12*2)\\\\\\=(9)/(24)+(-10)/(24)\\\\\\=(-1)/(24)`

Finding -15/8 * 16/27:

`(-15)/(8)*(16)/(27)=(-5*2)/(1*9)=(-10)/(9)`

Reciprocal of -10/9 = -9/10

-1/24 ÷ -9/10 =
`(-1)/(24)*(-10)/(9)=(1*5)/(12*3)`

=
`(5)/(24)`