Step-by-step explanation:
Answer
311=0.272727...............
311
= 3011×(110)
= 22+811×110
= 2211×110+811×110
= 2×110+8011×1100
= 210+77+311×1100
= 210+7711×1100+311×1100 or
311=210+7100+1100×(311) ........(A)
Now using value of 311 from (A) within (A)
311=210+7100+1100×(210+7100+1100×(311))
= 210+7100+21000+710000+110000×(311))
Now, if we keep on repeating this endlessly
311=210+7100+21000+710000
