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

Question

asked Jun 18, 2021 207k views

2 Answers

Iced · Answer 1 · 2021-06-22T04:42:16+0000

Answer:

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)