Simplify and explain what is 1/2-4/d divided by 1/d+ 3/2d

Question

Can you please explain it step by step

Answer 1

regrading the last term in the denominator of this

nested complex fraction......

is it 3/(2d) or (3/2)d.... ????

now the problem has to be done TWICE!!!

if it is the former...........

then the nested complex fraction is:

[1/2 - 4/d] divided by [1/d + 3/(2d)]

the common denominator is 2d...

multiplies the top and bottom by 1=(2d)/(2d);

so when it gets distributed the problems becomes:

(d-8)/(2 + 3) <--- 1/2 cancels 2d = d;

4/d cancels 2d = 8

1/d cancels 2d = 2

3/2d cancels 2d = 3

=(d-8)/5

if it is the latter...........

then the nested complex fraction is:

[1/2 - 4/d] divided by [1/d + (3/2)d ]

the common denominator is still 2d....

but this time, when multiplies the top and bottom by 1=(2d)/(2d),

the problem becomes:

=(d-8)/(2 + 3d^2)

govern yourself accordingly