Решить пример (5/12-х):1/2=2/9

5/12-х=2/9*1/2 5/12-х=1/9 х=5/12-1/9 х=(5*3)/36 - (1*4)/36 х = 15/36 - 4/36 х = 11/36 Проверка: (5/12 - 11/36):1/2 = (15/36 - 11/36)*2 = 4/36*2=8/36 = 2/9 2/9=2/9

[latex] \frac{5}{12} -x= \frac{2}{9} * \frac{1}{2} [/latex] [latex] \frac{5}{12} -x= \frac{1}{9} [/latex] [latex]x= \frac{5}{12} - \frac{1}{9} [/latex] [latex]x= \frac{(5*9)}{108} - \frac{(1*12)}{108} [/latex] [latex]x = \frac{45}{108} - \frac{12}{108} [/latex] [latex]x = \frac{33}{108} [/latex] [latex]x = \frac{11}{36} [/latex]