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Express  0.27‾\overline{27}27 in the form pq\frac{p}{q}qp​​ , where p and q are integers and q # 0.
Question

Express  0.27\overline{27} in the form pq\frac{p}{q}​ , where p and q are integers and q # 0.

A.

29\frac29​​

B.

13\frac13​​

C.

16\frac16​​

D.

311\frac3{11}​​

Correct option is D

Given: 

0.27\overline{27}  

Concept Used: 

0.pq0.\overline{pq} than it can be written as pq99\frac{pq}{99}​​

Solution : 

0.27\overline{27}

2799\frac{27}{99} 

311\frac3{11}

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