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 $x=3383/9900$