Question

Simplify the following expression: 4/ 1/4-5/2

A. -16/9
B. -4/3
C. 189/400
D. -100/601

Answer 1

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

Answer 2

Explanation:

Alright, lets get started.

The given expression is :

`(4)/((1)/(4)-(5)/(2))`

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

`(4)/((1)/(4)-(10)/(4))`

`(4)/((1-10)/(4))`

`(4)/((-9)/(4))`

`(4*4)/(-9)}`

`-(16)/(9)` : Answer A

Hope it will help :)