$$\{ -2-[ \frac{ 7 }{ 9 } + \frac{ 3 }{ 4 } \times (1- \frac{ 5 }{ 6 } )] \}$$
$-\frac{209}{72}\approx -2.902777778$
$$-2-\left(\frac{7}{9}+\frac{3}{4}\left(\frac{6}{6}-\frac{5}{6}\right)\right)$$
$$-2-\left(\frac{7}{9}+\frac{3}{4}\times \frac{6-5}{6}\right)$$
$$-2-\left(\frac{7}{9}+\frac{3}{4}\times \frac{1}{6}\right)$$
$$-2-\left(\frac{7}{9}+\frac{3\times 1}{4\times 6}\right)$$
$$-2-\left(\frac{7}{9}+\frac{3}{24}\right)$$
$$-2-\left(\frac{7}{9}+\frac{1}{8}\right)$$
$$-2-\left(\frac{56}{72}+\frac{9}{72}\right)$$
$$-2-\frac{56+9}{72}$$
$$-2-\frac{65}{72}$$
$$-\frac{144}{72}-\frac{65}{72}$$
$$\frac{-144-65}{72}$$
$$-\frac{209}{72}$$
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$-\frac{209}{72} = -2\frac{65}{72} = -2.9027777777777777$
