Question

what is the best estimate for the value of the expression?
`( (34)/(8) - (16)/(3)) - (14)/(9)`A. -3B.
`- 2 (1)/(2)`C. 7D.
`7 (1)/(2)`

Answer 1

-95/34

Step-by-step explanation:

`((34)/(8)-(16)/(3))-(14)/(9)`

Simplify the expresssion:

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

None of the options has this value.

There is likely an error in question.