Если a = 0,666... и b = 0,121212..., найдите значение выражения b/a.

  1. ²/₁₁
  2. ³/₁₁
  3. ⁵/₁₁
  4. ⁴/₁₁

📝 Detailed explanation

a = 0,(6) = ⁶/₉ = ²/₃. b = 0,(12) = ¹²/₉₉ = ⁴/₃₃. Их отношение: b / a = (⁴/₃₃) / (²/₃) = ⁴/₃₃ × ³/₂ = ¹²/₆₆ = ²/₁₁.
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