Convert  0.345634563456…to a rational number in the form of  ab, where  b≠0.

A standard trick for finding the rational form of a repeated decimal:



Multiply by an appropriate power of 10 to move one "cycle" of the repeated pattern to the left side of the decimal point:



Now subtract from this number and we lose the fractional part:



And from here you can solve for .

Bc equals mb that should be your answer