Question

Which expression is equivalent to 1 /3 - (-4 + 3/5 )

Answer 1

The first choice.

Explanation:

The expression can be written as

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

Multiplying out -1 in the expression in the parenthesis gives

`(1)/(3)+\lbrack(-1)\cdot(-4)+(3)/(5)(-1)\rbrack`

since

`\begin{gathered} (-1)\cdot(-4)=4 \\ (-1)\cdot((3)/(5))=-(3)/(5) \end{gathered}`

The above expression becomes

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

which is the first choice from the answer options.