$$\frac { ( \frac { - 3 } { 4 } ) ^ { 4 } \times \frac { 125 } { 27 } } { ( \frac { 5 } { 3 } ) ^ { 2 } \times ( \frac { 9 } { 16 } ) }$$
$\frac{15}{16}=0.9375$
$$\frac{\left(-\frac{3}{4}\right)^{4}\times \frac{125}{27}}{\left(\frac{5}{3}\right)^{2}\times \frac{9}{16}}$$
$$\frac{\frac{81}{256}\times \frac{125}{27}}{\left(\frac{5}{3}\right)^{2}\times \frac{9}{16}}$$
$$\frac{\frac{375}{256}}{\left(\frac{5}{3}\right)^{2}\times \frac{9}{16}}$$
$$\frac{\frac{375}{256}}{\frac{25}{9}\times \frac{9}{16}}$$
$$\frac{\frac{375}{256}}{\frac{25}{16}}$$
$$\frac{375}{256}\times \frac{16}{25}$$
$$\frac{15}{16}$$
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$\frac{3 \cdot 5}{2 ^ {4}} = 0.9375$