Answer:
The best estimate is -95/36
Step-by-step explanation:
Given expression = [tex](\frac{34}{8} -\frac{16}{3} ) -\frac{14}{9}[/tex]
[tex]=(\frac{34}{8} -\frac{16}{3} ) -\frac{14}{9}\\\\ = (\frac{17}{4} -\frac{16}{3} ) -\frac{14}{9}\\\\= (\frac{3(17) - 4(16)}{12} ) -\frac{14}{9}\\\\=(\frac{51- 64)}{12} ) -\frac{14}{9}\\\\= (\frac{-13}{12} ) -\frac{14}{9}\\\\= \frac{-117 - 168}{108} \\\\= \frac{-285}{108} \\\\= \frac{-95}{36}[/tex]
Thus, the best estimate is -95/36
