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Express the recurring decimals as rational number:0.36 with bar on top

Asked by Topperlearning User 26th September 2017, 8:58 AM
Answered by Expert
Answer:

begin mathsize 12px style.36 with bar on top equals 0.363636....
space equals 0.36 plus 0.0036 plus 0.000036 plus....
equals 36 over 10 squared plus 36 over 10 to the power of 4 plus 36 over 10 to the power of 6 plus...
The space above space series space is space an space infinite space GP space with space straight a equals 36 over 10 squared space and space straight r equals 1 over 10 squared
The space required space sum space is space fraction numerator straight a over denominator 1 minus straight r end fraction equals fraction numerator begin display style 36 over 10 squared end style over denominator 1 minus begin display style 1 over 10 squared end style end fraction equals 36 over 99 equals 4 over 11
.36 with bar on top equals 4 over 11 end style

Answered by Expert 26th September 2017, 10:58 AM
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