The value of 0.4 6 + 0.7 23 - 0.3 9 × 0. 7 is:

Answer: Option B

$$\begin{array}{rl}& 0.4\overline{6}+0.7\overline{23}-0.3\overline{9}\times 0.\overline{7}\\ & =\frac{46-4}{90}+\frac{723-7}{990}-\frac{39-3}{90}\times \frac{7}{9}\\ & =\frac{42}{90}+\frac{716}{990}-\frac{36}{90}\times \frac{7}{9}\\ & =\frac{42}{90}+\frac{716}{990}-\frac{28}{90}\\ & =\frac{14}{90}+\frac{716}{990}\\ & =\frac{154+716}{990}\\ & =\frac{870}{990}\\ & =0.\overline{87}\end{array}$$