Question

All of the following expressions have the same result, except

Answer 1

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

$x\div\dfrac{a}{b}=x\cdot\dfrac{b}{a}$

So, we have

$-\dfrac{7}{8}\div \left(-\dfrac{1}{4}\right)=-\dfrac{7}{8}\cdot(-4)$

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

$-\dfrac{7}{8}\div \left(-\dfrac{1}{4}\right)=\dfrac{7}{8}\cdot \dfrac{1}{4}$

So, the black sheep is the third option.