$$\frac{7}{9}\times(\frac{-8}{27}+\frac{4}{28})$$
$-\frac{29}{243}\approx -0.119341564$
$$\frac{7}{9}\left(-\frac{8}{27}+\frac{4}{28}\right)$$
$$\frac{7}{9}\left(-\frac{8}{27}+\frac{1}{7}\right)$$
$$\frac{7}{9}\left(-\frac{56}{189}+\frac{27}{189}\right)$$
$$\frac{7}{9}\times \frac{-56+27}{189}$$
$$\frac{7}{9}\left(-\frac{29}{189}\right)$$
$$\frac{7\left(-29\right)}{9\times 189}$$
$$\frac{-203}{1701}$$
$$-\frac{29}{243}$$
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$-\frac{29}{243} = -0.11934156378600823$