How do you convert 0.347 (47 being repeated) to a fraction?

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Answer 1 · 2016-03-16T04:32:56

#172/495#

We first let 0.347 be #x#.

Since #x# is recurring in 2 decimal places, we multiply it by 100.

#100x = 34.747#

Next, we subtract them.

#100x - x = 34.747 - 0.347#

#99x = 34.4#

Lastly, we divide both sides by 99 to get #x# as a fraction.

#x = 34.4/99#

#= 344/990#

#= 172/495#