recurring decimals to fractions
i can do the simple ones e.g 0.3232323232... but I've completely forgot how I'd do something like 0.132323232...
so say if i had to change 0.1323232... to a fraction, how would I do it? taaa x
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recurring decimals to fractions
i can do the simple ones e.g 0.3232323232... but I've completely forgot how I'd do something like 0.132323232...
so say if i had to change 0.1323232... to a fraction, how would I do it? taaa x
ahh i remember doing this now xDD
to do this, i would do:
0.1323232 x 100 = 13.232323
then subtract
Then divide both sides by 99
100x = 13.232323 ...
- x = 0.1323232 ...
_____________________
99x = 13.1
x = 13.1/99
SO 0.1232323 =
13.1
_______
99
sorry if you dont understand LOL (its how IVE been taught)
EDIT: basically, multiply the recurring decimal (we'll call it w) by a number (if 1 digit recurs, by 10; if 2 digits recur, by 100 etc)(we'll call it y)
(Set it out as i have above, i.e
100x = (wx100)
- x = w)
Then subtract all (y-w, and 100x-x)
you will then get 99x = (y-w)
And so you simply re-arrange the equation to find 1x (divide each side of the = by 99)
SO, x = (y-w) / 99
Simple <3
It seems so long winded, but it really is ^^
This, but youre best to set it out like:Quote:
Originally Posted by eSocks
let x = 0.13232323...
100x = 13.232323...
100x - x = 13.232323 - 0.13232323
99x = 13.1
x = 13.1/99
isnt this exactly how i set it out just the other way up?Quote:
Originally Posted by kk.
and surely mine is easier because the larger number is on top?
idk, i tried my best to make it clear xDDD
(much easier when the writing is in your book, and not on a pc screen :P)
why would you want to do this? just asking.
it is basically what you did yes, but following yours was confusing, and it looks like the x and 100x appeared from thin air :PQuote:
Originally Posted by eSocks
mmk ta +rep
LOL
wuttttttt did this entire thread just say.
ive been taught you can't have a decimal in a fraction?
you can't no, but i left out changing 13.1/99 to 131/990 because it seemed kinda needless... but yeah i've been taught that aswell :)Quote:
Originally Posted by Mr Selena Gomez