How do you convert 0.017857142 (857142 being repeated) to a fraction?

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Answer 1 · 2016-03-17T05:03:23

#1/56#

We first let 0.017857142 (857142 being repeated) be #x#.

Since #x# is recurring in 6 decimal places, we multiply it by 1000000.

#1000000x = 17857.142857142#

Next, we subtract them.

#1000000x - x = 17857.142857142 - 0.017857142#

#999999x = 17857.125#

Lastly, we divide both sides by 999999 to get #x# as a fraction.

#x = 17857.125/999999#

#= 17857125/999999000#

#= 17857125/999999000#

#= 1/56#