Question

What expression is equivalent to -1/4 -5/3

-1/4 + (-5/3) or -1/4+5/3

Answer 1

First option:
`-(1)/(4)+(-(5)/(3))`

Explanation:

By definition, Equivalent expressions have the same value, even though they are written in different forms.

For this exercise it is important to remember the multiplication of signs:

`(+)(+)=+\\(+)(-)=-\\(-)(-)=+`

Given the following expression:

`-(1)/(4)-(5)/(3)`

Since:

`(+)(-)=-`

You know that:

`-(5)/(3)=+(-(5)/(3))`

Therefore, knowing this, you can determine that the given expression can be written in the following form:

`-(1)/(4)+(-(5)/(3))`

The equivalent expression is the one shown in the first option.