noahcds4356 noahcds4356
  • 15-09-2020
  • Mathematics
contestada

What is the best estimate for the value of the expression?

{34/8-16/3}-14/9

Respuesta :

onyebuchinnaji
onyebuchinnaji onyebuchinnaji
  • 15-09-2020

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

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