Question

All of the following expressions have the same result, except

A. -7/8 / (-1/4)

B. (-7/8)(-4)

C. (8/7)(1/4)

D. 7/8/1/4

Answer 1

Dividing by a fraction is the same as multiplying by its inverse:

`x/(a)/(b)=x\cdot(b)/(a)`

So, we have

`-(7)/(8)/ \left(-(1)/(4)\right)=-(7)/(8)\cdot(-4)`

Also, since negative times/divided by negative is positive, we can get rid of the minus signs:

`-(7)/(8)/ \left(-(1)/(4)\right)=(7)/(8)\cdot (1)/(4)`

So, the black sheep is the third option.