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ICSE Class 7 Answered

how to change reccuring decimal into a proper fraction
Asked by Naghulkrisshiv | 31 Mar, 2019, 05:48: PM
answered-by-expert Expert Answer
Examples to convert recurring decimals to fraction
 
0.77777777.......  = begin mathsize 12px style 0.7 with bar on top space space space equals space 7 over 9 end style
0.121212121212.................  = begin mathsize 12px style 0.12 with bar on top space space equals space 12 over 99 space equals 4 over 33 end style
 
0.321321321321.................. = begin mathsize 12px style 0.321 with bar on top space space equals space 321 over 999 equals 107 over 333 end style
0.0666666........................ =  begin mathsize 12px style 0.0 6 with bar on top space equals space 1 over 10 open parentheses 0.6 with bar on top close parentheses space equals space 1 over 10 open parentheses 6 over 9 close parentheses space equals space 3 over 45 equals 1 over 15 end style
0.004444444444...............= begin mathsize 12px style 0.00 4 with bar on top space equals space 1 over 100 open parentheses 4 with bar on top close parentheses space equals space 4 over 900 space equals space 1 over 225 end style
0.347777777................. = 0.34 + 0.007777777...........  = begin mathsize 12px style 0.34 space plus space 0.00 7 with bar on top space equals space 0.34 space plus space 1 over 100 open parentheses 0.7 with bar on top close parentheses space equals 34 over 100 plus 7 over 900 space equals space 313 over 900 end style
Answered by Thiyagarajan K | 01 Apr, 2019, 06:46: AM
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