Asked by goodgirlattitude
prove 0.27 is 3/11
Answers
Answered by
oobleck
1/11 = 0.09
so multiply that by 3
so multiply that by 3
Answered by
Bosnian
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
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
Answered by
Bosnian
0.27... = 27 / 99 = 9 ∙ 3 / 9 ∙ 11 = 3 / 11
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