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Convert recurring decimal as a fraction

how do you write a recurring decimal as a fraction
e.g.
0.126(the 2 and 6 have a dot on top of them)
Thank you

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Original post by RBalboa
how do you write a recurring decimal as a fraction
e.g.
0.126(the 2 and 6 have a dot on top of them)
Thank you

you x by 1000 i think by a calculator.

Edit: I am not a mathematician and have not looked back at maths post GCSE, so do not take my word for it.
(edited 9 years ago)
Reply 2
Original post by German123
you x by 100 i think

times what by 100?
Right:
x = 0.126
1000x = 126.126
1000x - x = 126.126 - 0.126
999x = 126
x = 126/999
Cancel down bla bla bla
Original post by RBalboa
times what by 100?



I think you would times 0.126(reacuring) by a thousand.

I am not certain so do not take my word for it.
Original post by RBalboa
how do you write a recurring decimal as a fraction
e.g.
0.126(the 2 and 6 have a dot on top of them)
Thank you


This would have been better in maths rather than gcse

n =0.1262626

1000n = 126.262626
10n = 1.262626

If you subtract you will eliminate the decimal
Reply 6
Original post by German123
I think you would times 0.126(reacuring) by a thousand.

I am not certain so do not take my word for it.

okay i will wait for other replies aswell but thanx
Original post by RBalboa
okay i will wait for other replies aswell but thanx



There are tons of youtube videos that could help you. They will be way better than someone trying to help on here.
Reply 8
Original post by TenOfThem
This would have been better in maths rather than gcse

n =0.1262626

1000n = 126.262626
10n = 1.262626

If you subtract you will eliminate the decimal

subtract what from what?
Reply 9
thanks for the help guys, but im never going to understand this :smile:
Original post by RBalboa
subtract what from what?


10n from 1000n
Reply 11
Original post by TenOfThem
10n from 1000n

i got 125 now how do i put tht into a fraction?
Original post by RBalboa
i got 125 now how do i put tht into a fraction?


Presumably you had something on the left hand side to equal 125
Original post by RBalboa
thanks for the help guys, but im never going to understand this :smile:

Don't say stuff like this.

How on earth do you expect to see yourself passing with this kind of attitude?

I know it is hard as maths is not everyone's forte(it clearly is not mine)otherwise i would have given you the answer and working out straight away.

Basically, you have just got to keep trying. Also sometimes if you do not understand(sometimes maths is like that) you could just memorise the steps for a specific question and then you will get the hang of it once you have applied the same principal for similar questions-maths is after all just repetition.

:smile:
There's 2 recurring numbers so you times that by 100. (because 100 has 2 zeros!)
x=0.12626262626... (your original number)
100x=12.6262626... (multiply original number so only the recurring numbers are on the right-hand side of the decimal)
100x-x=12.6262626.... - 0.1262626... = 12.5 (Find the difference so you get rid of the recurring numbers)
So, 99x = 12.5
x=12.5/99 (You need to divide both sides by 99 to get x)
x=25/198 (multiply fraction to get integers/whole numbers)

x=25/198 :smile:
Message me if you need any additional help!
Reply 15
Thank you so much for this :smile:

Great sites!
Reply 16
Thank you
Reply 17
I've been watching through the videos right now and it's just reminded me that I have ALOT to revise :frown:

And when did you find these sites? I think the second site is for Uni students before the start their course :confused:
Reply 18
Ohhh okay that makes sense. I just saw the ipod vids as the first heading and clicked on them.. But yeah they're slightly time consuming. Thanks for the tips and what is a torrent btw :K

And ahahah I won't be doing A-Level Maths I can barely do GCSE Maths!

Erm could I ask you with help with one question on solving equations?

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