Question

Simplify the expression

Answer 1

First we want to simplify the denominator
$\frac{1}{4} - \frac{5}{2}$

to subtract, we convert 5/2 to have a denominator of 4
$\frac{1}{4} - \frac{10}{4}$
$- \frac{9}{4}$

now we can put this back into the original problem
$\frac{4}{ - \frac{9}{4} }$
this equation can also be read as
$4 \div - \frac{9}{4}$

when dividing, we flip the right side and switch to multiplication
$\frac{4}{1} \times - \frac{4}{9} = - \frac{16}{9}$

$answer = - \frac{16}{9}$