Express the decimal number $$3.12\overline7$$​ in fraction form.

Correct option is B

Given:​

​$$3.12\overline7$$

Concept Used:​

​$$a.bc\overline d= a +\frac{bcd-bc}{900}$$

Solution:​

​$$3.12\overline7$$

= 3 + $$\frac{127-12}{900}$$

= 3 + $$\frac{115}{900}$$

=$$\frac{2700+115}{900}$$

=$$\frac{2815}{900}$$ =$$\frac{563}{180}$$​​