Question

реши уравнение (5/12-х):1/2=2/9

Answer 1

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

Answer 2

(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