$$( \frac { - 1 } { 4 } - \frac { - 9 } { 16 } ) \div ( \frac { 5 } { 12 } - \frac { 7 } { 8 } )$$
$-\frac{15}{22}\approx -0.681818182$
$$\frac{-\frac{1}{4}-\frac{-9}{16}}{\frac{5}{12}-\frac{7}{8}}$$
$$\frac{-\frac{1}{4}-\left(-\frac{9}{16}\right)}{\frac{5}{12}-\frac{7}{8}}$$
$$\frac{-\frac{1}{4}+\frac{9}{16}}{\frac{5}{12}-\frac{7}{8}}$$
$$\frac{-\frac{4}{16}+\frac{9}{16}}{\frac{5}{12}-\frac{7}{8}}$$
$$\frac{\frac{-4+9}{16}}{\frac{5}{12}-\frac{7}{8}}$$
$$\frac{\frac{5}{16}}{\frac{5}{12}-\frac{7}{8}}$$
$$\frac{\frac{5}{16}}{\frac{10}{24}-\frac{21}{24}}$$
$$\frac{\frac{5}{16}}{\frac{10-21}{24}}$$
$$\frac{\frac{5}{16}}{-\frac{11}{24}}$$
$$\frac{5}{16}\left(-\frac{24}{11}\right)$$
$$\frac{5\left(-24\right)}{16\times 11}$$
$$\frac{-120}{176}$$
$$-\frac{15}{22}$$
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$-\frac{15}{22} = -0.6818181818181818$
