запишите периодическую дробь 0,(87) в виде обыкновенной
х = 0,(87) <=> 100х = 87,(87) <=> 100х - 87 = 0,(87) <=> 100х - 87 = х <=> 99х = 87 <=> х = 87/99 = 29/33
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х = 0,(87) <=> 100х = 87,(87) <=> 100х - 87 = 0,(87) <=> 100х - 87 = х <=> 99х = 87 <=> х = 87/99 = 29/33