а) 2,(21) = 2 + 0.21 + 0.0021 + 0.000021 + ... = 2 + 0.21/(1-0.01) = 2 + 0.21/0.99 = 2 + 21/99 = 2 + 7/33 = 2(7/33)
б) 15,3(53) = 15 + 0.3 + 0.0053 + ... = 15 + 0.3/(1-0.01) + 0.53/(1-0.01) = 15 + 0.3/0.99 + 0.53/0.99 = 15 + 30/99 + 53/99 = 15 + 83/99 = 15(83/99)
в) -2,77(3) = -2 - 0.77 - 0.003 + ... = -2 - 0.77/(1-0.01) = -2 - 0.77/0.99 = -2 - 77/99 = -2(77/99)
а) 2,(21) = 2 + 0.21 + 0.0021 + 0.000021 + ... = 2 + 0.21/(1-0.01) = 2 + 0.21/0.99 = 2 + 21/99 = 2 + 7/33 = 2(7/33)
б) 15,3(53) = 15 + 0.3 + 0.0053 + ... = 15 + 0.3/(1-0.01) + 0.53/(1-0.01) = 15 + 0.3/0.99 + 0.53/0.99 = 15 + 30/99 + 53/99 = 15 + 83/99 = 15(83/99)
в) -2,77(3) = -2 - 0.77 - 0.003 + ... = -2 - 0.77/(1-0.01) = -2 - 0.77/0.99 = -2 - 77/99 = -2(77/99)