$$\frac{ 3 }{ 10 } \times \frac{ 8 }{ 27 } \div \frac{ 20 }{ 27 } + \frac{ 4 }{ 9 }$$
$\frac{127}{225}\approx 0.564444444$
$$\frac{\frac{3\times 8}{10\times 27}}{\frac{20}{27}}+\frac{4}{9}$$
$$\frac{\frac{24}{270}}{\frac{20}{27}}+\frac{4}{9}$$
$$\frac{\frac{4}{45}}{\frac{20}{27}}+\frac{4}{9}$$
$$\frac{4}{45}\times \frac{27}{20}+\frac{4}{9}$$
$$\frac{4\times 27}{45\times 20}+\frac{4}{9}$$
$$\frac{108}{900}+\frac{4}{9}$$
$$\frac{3}{25}+\frac{4}{9}$$
$$\frac{27}{225}+\frac{100}{225}$$
$$\frac{27+100}{225}$$
$$\frac{127}{225}$$
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$\frac{127}{3 ^ {2} \cdot 5 ^ {2}} = 0.5644444444444444$
