prove 0.27 is 3/11

Answer 1

1/11 = 0.09
so multiply that by 3

Answer 2

0.27 = 27 / 100

But if your question means:

prove 0.27... = 3 / 11

then

100 ∙ 0.27... = 27.27...

100 ∙ 0.27.. - 0.27... = 27.27... - 0.27...

99 ∙ 0.27..= 27

Divide both sides by 99

0.27 = 27 / 99 = 9 ∙ 3 / 9 ∙ 11 = 3 / 11

By the way 0.27.. = 0.27272727272727272727

Answer 3

0.27... = 27 / 99 = 9 ∙ 3 / 9 ∙ 11 = 3 / 11