The fraction equivalent to 8.27272... is:

Correct option is A

Given:

8.27272... (a repeating decimal where "27" repeats indefinitely)

Solution:

Let x = 8.272727...

To eliminate the repeating decimal, multiply the equation by 100 (since the repeating part has 2 digits):

100x = 827.272727...

Now subtract the original equation from this one:

100x - x = 827.272727... - 8.272727...
99x = 819
x =$$\frac{819}{99}$$​​

x =$$\frac{819 \div 9}{99 \div 9} = \frac{91}{11}$$​​

So, the fraction equivalent to 8.272727... is  $$\frac{91}{11}.$$​​