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Assuming you want the "09" to repeat indefinitely, here is how you calculate that:Call your number "x", and write the equation:
(Equation 1) x = 1.09090909...
Multiply by 100 (that's two zeros, because it's two digits that repeat):
(Equation 2) 100x = 109.09090909...
Subtract equation (1) from equation (2):
99x = 108
Solve for "x" (as a fraction), and simplify.
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