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

Subtracting (A) from (B)

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To convert 0.3417 (repeating) to a fraction, the repeating decimal part is represented as ( x ), then ( 100x = 34.17 ) and ( 10x = 3.417 ). Subtracting ( 10x ) from ( 100x ) gives ( 90x = 30.753 ). Hence, ( x = 30.753 / 90 ). Simplifying, ( x = 30753 / 90000 ).

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