HailiX318659 HailiX318659
  • 30-10-2022
  • Mathematics
contestada

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

Respuesta :

KayannaC107616 KayannaC107616
  • 30-10-2022

Answer:

The first choice.

Explanation:

The expression can be written as

[tex]\frac{1}{3}+(-1)(-4+\frac{3}{5})[/tex]

Multiplying out -1 in the expression in the parenthesis gives

[tex]\frac{1}{3}+\lbrack(-1)\cdot(-4)+\frac{3}{5}(-1)\rbrack[/tex]

since

[tex]\begin{gathered} (-1)\cdot(-4)=4 \\ (-1)\cdot(\frac{3}{5})=-\frac{3}{5} \end{gathered}[/tex]

The above expression becomes

[tex]\frac{1}{3}+(4-\frac{3}{5})[/tex]

which is the first choice from the answer options.

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