The value of ( 2. 4 × 2. 6 × 3 × 0.1 6 ) × [ 0. 27 × ( 0.8 3 ÷ 0.1 6 ) ] is:

Answer: Option B

$$\begin{array}{rl}& \left(2.\overline{4}\times 2.\overline{6}\times 3\times 0.1\overline{6}\right)\times \left[0.\overline{27}\times \left(0.8\overline{3}÷0.1\overline{6}\right)\right]\\ & =\left(\frac{22}{9}\times \frac{6}{9}\times 3\times \frac{15}{90}\right)\times \left[\frac{27}{99}\times \left(\frac{75}{90}÷\frac{15}{90}\right)\right]\\ & =\frac{22}{27}\times \left[\frac{27}{99}\times \left(\frac{75}{90}\times \frac{90}{15}\right)\right]\\ & =\frac{22}{27}\times \frac{27}{99}\times 5\\ & =\frac{10}{9}\\ & =1.\overline{1}\end{array}$$