How do you convert 0.3417 (17 being repeated) to a fraction?

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Answer 1 · 2016-03-04T04:33:56

#x=3383/9900#

Let #x=0.34171717171717..................#.

Multiplying it by #100# we get

#100x=34.17171717.................# (A)

Multiplying it again by #100# we get

#10000x=3417.171717.................# (B)

Subtracting (A) from (B)

#9900x=3383#

or #x=3383/9900#