Convert $$0.2\overline{6}$$into a proper fraction.

Correct option is D

Given: ​

To convert into proper fraction $$0.2\overline6$$​​

Solution : 

​Let $$x = 0.2\overline{6}$$ , which means x=0.2666…

10 x = 2.6666...

100 x = 26.6666

100x −10 x = 26.6666…− 2.6666

$$x = \frac{24}{90}= \frac{4}{15}$$  

Thus, correct answer is option (d) $$\frac{4}{15}$$ .​

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