-
abhi332
- Master | Next Rank: 500 Posts
- Posts: 117
- Joined: Wed Dec 30, 2009 1:57 pm
- Location: India
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Few tricks
1) 0.6666...
to convert 0.6666... to fraction, we know 6 is repeated every time.i.e there is only 1 digit repetition so I will divide 6 by single digit 9
so, i can write it as 6/9
2) 0.46464646...
here 46 is repeated so there are 2 digits
fraction is 46/99
3)0.23434343434...
here we can see that after 0.2 , 34 is repeated
fraction = ( decimal - non repeated decimal)/(9 digits equal to no of repeated decimals * 10^(no of non repeated decimal))
looks complicated, but it is actually not
fraction = (234 - 2)/(99 * 10^1) = 232/990
4)0.1234343434.....
fraction = (1234-12)/(99 * 10^2) = 1222/9900
[/list]
1) 0.6666...
to convert 0.6666... to fraction, we know 6 is repeated every time.i.e there is only 1 digit repetition so I will divide 6 by single digit 9
so, i can write it as 6/9
2) 0.46464646...
here 46 is repeated so there are 2 digits
fraction is 46/99
3)0.23434343434...
here we can see that after 0.2 , 34 is repeated
fraction = ( decimal - non repeated decimal)/(9 digits equal to no of repeated decimals * 10^(no of non repeated decimal))
looks complicated, but it is actually not
fraction = (234 - 2)/(99 * 10^1) = 232/990
4)0.1234343434.....
fraction = (1234-12)/(99 * 10^2) = 1222/9900
[/list]
