как решить уравнение с дробями 4/3:4x+1/2:3x=4/8:9

4/3:4х/1+1/2:3х/1=4/8:9/1; 4*1/3*4х+1*1/2*3х=4*1/8*9; 4/12х+1/6х=4/72; 1/3х+1/6х=1/18; 3х+6х=18; 9х=18; х=18/9=2; Проверка: 4/3:4*2+1/2:3*2=4/8:9; 4/3: 8/1+1/2:6/1=4/8:9/1; 4*1/3*8+1*1/2*6=4*1/8*2; 4/24+1/12=4/16; 1/6+1/12=1/4; 2/12+1/12=3/12; 3/12=3/12; 1/4=1/4