# how do you convert repeating decimals to fractions? ?

how would you convert a repeating decimal like... 1.27 or 0.6!?

please list all steps to this process.... i really need your help!

its for a grade tomorrow and i dont get it at all!!

Relevance

1.27 is 1 and 27/100, written 1 27/100

This one was easy to do because it was a number that terminated

Had it been 1.2753, it's still easy.

It terminates, so it's 1 2753/10000

0.61 is equally easy. Its 61/100

0.61 is understood to have a denominator of 1

Thus , 0.61=0.61/1

Multiply top and bottom to get 61/100

how to convert REPEATING decimals. That is

handled as follows.

I presume 1.27 was meant to represent

1.27272727.......

If this is correct, then

Let x=1.27272727.......

Then 100x=127,27272727.......

Subtract x=.....1.27272727...

.......... 99x=126.0

x=126/99

126/99=1.27272727....

For 0.61

Assuming it's 0.616161......

Let x=0.616161...

.........100x=61.616161...

Subtract x=..0. 616161

...........99x= 61

x=61/99

61/99=0.61616161...

• 4 years ago

List Of Repeating Decimals

ok, you round it off at the hundredth. then just put it over 100 like 67/100 or go here: http://mathforum.org/dr.math/faq/faq.fractions.htm...