Respuesta :

Answer:

The correct answer would be negative 1 over 6 also written as -1/6

Step-by-step explanation:

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Answer:

[tex]-\frac{1}{6}[/tex]

Step-by-step explanation:

In order to find the answer to this question you must use order of operations and add after finding the common denominator.

[tex]-\frac{1}{2} +(\frac{3}{4} \times\frac{4}{9} )[/tex]

P goes first

[tex]\frac{3}{4} \times\frac{4}{9}[/tex]

Solve:

[tex]3\times4=12[/tex]

[tex]4\times9=36[/tex]

[tex]=\frac{12}{36}[/tex]

Reduce:

[tex]12\div6=2[/tex]

[tex]36\div6=6[/tex]

[tex]2\div2=1[/tex]

[tex]6\div2=3[/tex]

[tex]=\frac{1}{3}[/tex]

[tex]-\frac{1}{2} +\frac{1}{3}=\frac{-1\times3}{2\times3} +\frac{1\times2}{3\times2} =-\frac{1}{6}[/tex]

[tex]=-\frac{1}{6}[/tex]

Hope this helps.

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