The Student Room Group
Reply 1
tune
Express the recurring decimal 0.213 as a fraction.

THERE ARE 2 DOTS ONTOP OF THE 12 I GUESS THIS MEAN ONLY THE 13 IS RECURRING

Let x = 0.213 (recurring)

1000x = 213.213 (recurring)

1000x - x = 213.213 (recurring) - 0.213 (recurring)

999x = 213

x = 213/999
Reply 2
gyyy2807
Let x = 0.213 (recurring)

1000x = 213.213 (recurring)

1000x - x = 213.213 (recurring) - 0.213 (recurring)

999x = 213

x = 213/999

Tats rong :P

Sorry....

Its like this i figured it out its only the 13 recurring i said 12 up emant 13

its done like this

x= 0.213131313
100x = 21.313131
99x = 21.1

x = 21.1/99 :smile:
Reply 3
tune
Tats rong :P

Sorry....

Its like this i figured it out its only the 13 recurring i said 12 up emant 13

its done like this

x= 0.213131313
100x = 21.313131
99x = 21.1

x = 21.1/99 :smile:


This, but you can't have a decimal in a fraction.

So you times by 10 = 211/999

then you can probably cancel.
tune
Tats rong :P

Sorry....

Its like this i figured it out its only the 13 recurring i said 12 up emant 13

its done like this

x= 0.213131313
100x = 21.313131
99x = 21.1

x = 21.1/99 :smile:

Why did you just answer your own thread?
gyyy2807 gave the right answer anyway :rolleyes:
Reply 5
milliondollarcorpse
Why did you just answer your own thread?
gyyy2807 gave the right answer anyway :rolleyes:


gyyy2807's answer is wrong. 1000x = 213.1313...
tune's method is correct, though it might be worth pointing out to certain posters that 10*99 = 990 and not 999. :sigh:

P.S. it helps if the question is expressed correctly the dots are over the 1 and 3, not "the 12".
BJack
gyyy2807's answer is wrong. 1000x = 213.1313...
tune's method is correct, though it might be worth pointing out to certain posters that 10*99 = 990 and not 999. :sigh:

P.S. it helps if the question is expressed correctly the dots are over the 1 and 3, not "the 12".

Ah sorry, thought he was asking for 0.213213213...
Reply 7
milliondollarcorpse
Ah sorry, thought he was asking for 0.213213213...


Yes — I would probably have thought that too, had I not seen the question yesterday.
Reply 8
Tats rong :P

Sorry....

Its like this i figured it out its only the 13 recurring i said 12 up emant 13

its done like this

x= 0.213131313
100x = 21.313131
99x = 21.1

x = 21.1/99 :smile:


hey and to turn it into like a proper fraction u can then times the numerator by 10 and the denominator by 10 to get: 211/990