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

1 Answer

6 votes

Answer:

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.

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