Question

Can someone simplify

Answer 1

Option (2).
`2(1)/(4)`

Explanation:

The given expression is [
`-5(1)/(4)-(-7(1)/(2))`]

We can rewrite the fractions as,

`-5(1)/(4)` =
`-(5+(1)/(4))`

`-7(1)/(2)=-(7+(1)/(2))`

Now we will substitute the fractions in the expression,

`[-(5+(1)/(4))]-[-(7+(1)/(2))]`

=
`-(5+(1)/(4))+(7+(1)/(2))`

= (-5 + 7) +
`(-(1)/(4)+(1)/(2))`

= 2 +
`(2-1)/(4)`

= 2 +
`(1)/(4)`

=
`2(1)/(4)`

Therefore, Option (2). will be the answer.