22 + 23 + 23 + 2/3 × 0.39 is simplified to = ?

Answer: Option D

$$\begin{array}{rl}& \text{According to question,}\\ & \frac{2}{2+\frac{2}{3+\frac{2}{3+\frac{2}{3}}}\times 0.39}\\ & =\frac{2}{2+\frac{2}{3+\frac{6}{11}}\times 0.39}\\ & =\frac{2}{2+\frac{22}{39}\times 0.39}\\ & =\frac{2}{2+\frac{22}{100}}\\ & =\frac{200}{222}\\ & =\frac{100}{111}\end{array}$$