3.(13) = x 313.(13) = 100x вычтем: 99х = 310 ---> х=310/99; аналогично: 0.2(3) = х 2.(3) = 10х 9х = 2.1 ---> х=21/90=7/30 (310/99)+(7/30) = (3100+231)/990 = 3331/990=3 целых 361/990 = 3.3(64)
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3.(13) = x 313.(13) = 100x вычтем: 99х = 310 ---> х=310/99; аналогично: 0.2(3) = х 2.(3) = 10х 9х = 2.1 ---> х=21/90=7/30 (310/99)+(7/30) = (3100+231)/990 = 3331/990=3 целых 361/990 = 3.3(64)