Question

Simplify the expression

Answer 1

first we want to simplify the denominator

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

to subtract, we convert 5/2 to have a denominator of 4

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

`- (9)/(4)`

now we can put this back into the original problem

`(4)/( - (9)/(4) )`
this equation can also be read as

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

when dividing, we flip the right side and switch to multiplication

`(4)/(1) * - (4)/(9) = - (16)/(9)`


`answer = - (16)/(9)`