Решите уравнение 1,32: 3 1/7=(1,4у): 5/6

1,32 : 3 1/7 = 1,4у : 5/6
1 32/100 : 22/7 = 1,4у : 5/6
132/100 : 22/7 = 1,4у : 5/6
132/100 * 7/22 = 1,4у : 5/6
132*7/100*22 = 1,4у : 5/6
 924/2200 = 1,4у : 5/6
1,4у = 5/6 * 924/2200
1,4у = 5*924/6*2200
1,4у = 4620/13200
1,4у = 231/660
у = 231/660 : 1,4
у = 231/660 : 1 4/10
у = 231/660 : 14/10
у = 231/660 * 10/14
у = 231*10/660*14
у = 2310/9240
у = 231/924
у = 1/4 или 0,25
проверка:
1,32 : 3 1/7 = 1,4 * 0,25 : 5/6
1 32/100 : 22/7 = 0,35 : 5/6
132/100 * 7/22 = 35/100 * 6/5
132*7/100*22 = 35*6/100*5
924/2200 = 210/500
231/550 = 210/500
231*500/550*500 = 210*550/500*550
115.500/275.000 = 115.500/275.000
0,42 = 0,42