The Purplemath Forums

by **nicknation** on Wed Apr 01, 2009 10:47 pm

I would like to know what the fraction is for the decimal .151515 (the 15 keeps on going )?

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by **Martingale** on Wed Apr 01, 2009 11:50 pm

nicknation wrote:I would like to know what the fraction is for the decimal .151515 (the 15 keeps on going )?

let x=.1515...

then 100x=15.1515...

subtract x from 100x

100x=15.1515...
- x=.1515...

99x=15
x=15/99

by **nicknation** on Sat Apr 04, 2009 5:36 pm

how did you know to times by 100?

by **Martingale** on Sat Apr 04, 2009 5:37 pm

nicknation wrote:how did you know to times by 100?

because there are two digits that are repeating

by **nicknation** on Tue Apr 07, 2009 4:49 pm

so use 100 for 0.345345345...?

by **Martingale** on Tue Apr 07, 2009 6:21 pm

nicknation wrote:so use 100 for 0.345345345...?

there are 3 digits repeating here...use 1000

by **nicknation** on Tue Apr 07, 2009 6:39 pm

sry thats what i ment thnx

what is fraction for decimal .151515 (the 15 keeps on going)