$$0+ \frac{ 1 }{ 1+ \frac{ 1 }{ 2+ \frac{ 1 }{ 3 } } }$$
$\frac{7}{10}=0.7$
$$0+\frac{1}{1+\frac{1}{\frac{6}{3}+\frac{1}{3}}}$$
$$0+\frac{1}{1+\frac{1}{\frac{6+1}{3}}}$$
$$0+\frac{1}{1+\frac{1}{\frac{7}{3}}}$$
$$0+\frac{1}{1+1\times \frac{3}{7}}$$
$$0+\frac{1}{1+\frac{3}{7}}$$
$$0+\frac{1}{\frac{7}{7}+\frac{3}{7}}$$
$$0+\frac{1}{\frac{7+3}{7}}$$
$$0+\frac{1}{\frac{10}{7}}$$
$$0+1\times \frac{7}{10}$$
$$0+\frac{7}{10}$$
$$\frac{7}{10}$$
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$\frac{7}{2 \cdot 5} = 0.7$
