x = 0.(324)
1000x = 324.(324)
1000x - x = 324.(324) - 0.(324)
999x = 324
x = 324 / 999 = 36 / 111 = 12/37
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Verified answer
x = 0.(324)
1000x = 324.(324)
1000x - x = 324.(324) - 0.(324)
999x = 324
x = 324 / 999 = 36 / 111 = 12/37