Respuesta :

4 / (1/4 - 5/2) =
4 / (1/4 - 10/4) =
4 / (-9/4) =
4 * -4/9 = 
-16/9 <==

Answer:

Step-by-step explanation:

Alright, lets get started.

The given expression is :

[tex]\frac{4}{\frac{1}{4}-\frac{5}{2}}[/tex]

Two fractions are in subtraction so we need to make common denominator

[tex]\frac{4}{\frac{1}{4}-\frac{10}{4}}[/tex]

[tex]\frac{4}{\frac{1-10}{4}}[/tex]

[tex]\frac{4}{\frac{-9}{4}}[/tex]

[tex]\frac{4*4}{-9}}[/tex]

[tex]-\frac{16}{9}[/tex]      :    Answer A

Hope it will help :)