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Suppose that a and b are digits, not both nine and not both zero, and the repeating decimal x = 0.abababab..... is expressed as a fraction in lowest terms.  What is the largest possible value of x?

 Jul 13, 2021
 #1
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a = 9    and  b  = 8

 

.989898.......  =    98 / 99 =    x

 

cool cool cool

 Jul 13, 2021

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