How do you convert 0.571428 (571428 being repeated) to a fraction?

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Answer 1 · 2016-03-18T04:01:03

#4/7#

We first let 0.571428 (571428 being repeated) be #x#.

Since #x# is recurring in 6 decimal places, we multiply it by #10^6#.

#1000000x = 571428.571428#

Next, we subtract them.

#1000000x - x = 571428.571428 - 0.571428#

#999999x = 571428#

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

#x = 571428/999999#

#= 4/7#