Answered

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what is the best estimate for the value of the expression? [tex] ( \frac{34}{8} - \frac{16}{3}) - \frac{14}{9} [/tex]A. -3B.[tex] - 2 \frac{1}{2} [/tex]C. 7D. [tex]7 \frac{1}{2} [/tex]

Sagot :

-95/34

Explanation:

[tex](\frac{34}{8}-\frac{16}{3})-\frac{14}{9}[/tex]

Simplify the expresssion:

[tex]\begin{gathered} \text{LCM for the one in the bracket is 24} \\ \frac{34(3)-8(16)}{24}-\frac{14}{9} \\ \frac{102-128}{24}-\frac{14}{9} \\ =\text{ }\frac{-26}{24}-\frac{14}{9} \end{gathered}[/tex][tex]\begin{gathered} \frac{-26(3)\text{ -14(8)}}{72} \\ =\text{ }\frac{-78-112}{72}=\text{ }\frac{-190}{72} \\ =\frac{-95}{36} \end{gathered}[/tex]

None of the options has this value.

There is likely an error in question.

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