The sum of $$3.\overline{26}-2.\overline{14}+1.\overline{33}$$ is:

Correct option is A

Given:​

​$$3.\overline{26}-2.\overline{14}+1.\overline{33}$$

Concept Used:

​$$a.\bar{bc} =a+ \frac{bc}{99}$$​​

Solution:

$$3.\overline{26}-2.\overline{14}+1.\overline{33}$$

= 3 + $$\frac{26}{99}$$ $$- ( 2+\frac{14}{99})+ 1 + \frac {33}{99}$$​​

= 2 + $$\frac {26-14+33}{99}$$

= 2 + $$\frac {45}{99}$$​​

= $$2.\overline{45}$$

Alternate Method:​

​$$3.\overline{26}-2.\overline{14}+1.\overline{33}$$

=$$4.\overline{59}-2.\overline{14}$$

= $$2.\overline{45}$$​​