$$(\frac{2}{3}+\frac{2}{3})+[(\frac{3}{5}-\frac{1}{10})^{2}:(1-\frac{1}{3})^{2}]-(-\frac{1}{2}+\frac{2}{3})^{0}-(\frac{5}{16})^{5}:(\frac{5}{16})^{4}$$
$\frac{7}{12}\approx 0.583333333$
$$\frac{2}{3}+\frac{2}{3}+\frac{\left(\frac{3}{5}-\frac{1}{10}\right)^{2}}{\left(1-\frac{1}{3}\right)^{2}}-\left(-\frac{1}{2}+\frac{2}{3}\right)^{0}-\left(\frac{5}{16}\right)^{1}$$
$$\frac{4}{3}+\frac{\left(\frac{3}{5}-\frac{1}{10}\right)^{2}}{\left(1-\frac{1}{3}\right)^{2}}-\left(-\frac{1}{2}+\frac{2}{3}\right)^{0}-\left(\frac{5}{16}\right)^{1}$$
$$\frac{4}{3}+\frac{\left(\frac{1}{2}\right)^{2}}{\left(1-\frac{1}{3}\right)^{2}}-\left(-\frac{1}{2}+\frac{2}{3}\right)^{0}-\left(\frac{5}{16}\right)^{1}$$
$$\frac{4}{3}+\frac{\frac{1}{4}}{\left(1-\frac{1}{3}\right)^{2}}-\left(-\frac{1}{2}+\frac{2}{3}\right)^{0}-\left(\frac{5}{16}\right)^{1}$$
$$\frac{4}{3}+\frac{\frac{1}{4}}{\left(\frac{2}{3}\right)^{2}}-\left(-\frac{1}{2}+\frac{2}{3}\right)^{0}-\left(\frac{5}{16}\right)^{1}$$
$$\frac{4}{3}+\frac{\frac{1}{4}}{\frac{4}{9}}-\left(-\frac{1}{2}+\frac{2}{3}\right)^{0}-\left(\frac{5}{16}\right)^{1}$$
$$\frac{4}{3}+\frac{1}{4}\times \frac{9}{4}-\left(-\frac{1}{2}+\frac{2}{3}\right)^{0}-\left(\frac{5}{16}\right)^{1}$$
$$\frac{4}{3}+\frac{9}{16}-\left(-\frac{1}{2}+\frac{2}{3}\right)^{0}-\left(\frac{5}{16}\right)^{1}$$
$$\frac{91}{48}-\left(-\frac{1}{2}+\frac{2}{3}\right)^{0}-\left(\frac{5}{16}\right)^{1}$$
$$\frac{91}{48}-\left(\frac{1}{6}\right)^{0}-\left(\frac{5}{16}\right)^{1}$$
$$\frac{91}{48}-1-\left(\frac{5}{16}\right)^{1}$$
$$\frac{43}{48}-\left(\frac{5}{16}\right)^{1}$$
$$\frac{43}{48}-\frac{5}{16}$$
$$\frac{7}{12}$$
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$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$
