$$\frac{ { 4 }^{ 2 } }{ { 2 }^{ 2 } { 5 }^{ 2 } { 7 }^{ 2 } \times 4/4/4/4/4/4/4/40.25 }$$
$\frac{23552}{175}\approx 134.582857143$
$$\frac{16}{\frac{\frac{\frac{\frac{\frac{\frac{\frac{2^{2}\times 5^{2}\times 7^{2}\times 4}{4}}{4}}{4}}{4}}{4}}{4}}{40.25}}$$
$$\frac{16}{\frac{\frac{\frac{\frac{\frac{\frac{2^{2}\times 5^{2}\times 7^{2}\times 4}{4}}{4}}{4}}{4}}{4}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{\frac{\frac{\frac{2^{2}\times 5^{2}\times 7^{2}\times 4}{4}}{4}}{4}}{4\times 4}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{\frac{\frac{2^{2}\times 5^{2}\times 7^{2}\times 4}{4}}{4\times 4}}{4\times 4}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{\frac{2^{2}\times 5^{2}\times 7^{2}}{4\times 4}}{4\times 4}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{\frac{2^{2}\times 5^{2}\times 7^{2}}{16}}{4\times 4}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{\frac{4\times 5^{2}\times 7^{2}}{16}}{4\times 4}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{\frac{4\times 25\times 7^{2}}{16}}{4\times 4}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{\frac{100\times 7^{2}}{16}}{4\times 4}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{\frac{100\times 49}{16}}{4\times 4}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{\frac{4900}{16}}{4\times 4}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{\frac{1225}{4}}{4\times 4}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{\frac{1225}{4}}{16}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{1225}{4\times 16}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{1225}{64}}{4\times 40.25}}$$
$$\frac{16}{\frac{\frac{1225}{64}}{161}}$$
$$\frac{16}{\frac{1225}{64\times 161}}$$
$$\frac{16}{\frac{1225}{10304}}$$
$$\frac{16}{\frac{175}{1472}}$$
$$16\times \frac{1472}{175}$$
$$\frac{16\times 1472}{175}$$
$$\frac{23552}{175}$$
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$\frac{23 \cdot 2 ^ {10}}{7 \cdot 5 ^ {2}} = 134\frac{102}{175} = 134.58285714285714$
