Реши уравнение (5/12-х):1/2=2/9

5/12-x=2/9×1/2 -x=1/9-5/12 x=5/12-1/9 x=15/36-4/36 x=11/36 проверяем: 5/12-11/36=15/36-11/36=4/36=1/9 1/9:1/2=1/9×2/1=2/9

(⁵/₁₂-х):¹/₂=²/₉ ⁵/₁₂-х =²/₉×¹/₂ ⁵/₁₂-х=²ˣ¹/₉ˣ₂ ⁵/₁₂-х=¹/₉ - x = - ⁵/₁₂ + ¹/₉ - x = -⁵ˣ³/₃₆ + ¹ˣ⁴/₃₆ - x = -¹⁵/₃₆ + ⁴/₃₆ - x = ⁻¹⁵⁺⁴/₃₆  - x = -¹¹/₃₆  x =  ¹¹/₃₆  проверка (⁵/₁₂-¹¹/₃₆):¹/₂=²/₉ (⁵ˣ³/₃₆-¹¹/₃₆):¹/₂=²/₉ (¹⁵/₃₆-¹¹/₃₆):¹/₂=²/₉ ⁴/₃₆:¹/₂=²/₉ ⁴/₃₆ײ/₁=²/₉ ⁴ˣ²/₃₆ₓ₁=²/₉    ⁴/₁₈ = ²/₉    ²/₉= ²/₉