Решите уравнение 4)1/3х+1/4х+1/5х=1 19/75

1/3 * х + 1/4 * х + 1/5 * х = 1 19/75;
(1/3 + 1/4 + 1/5) * х = 1 19/75;
((1 * 20)/(3 * 20) + (1 * 15)/(4 * 15) + (1 * 12)/(5 * 12)) * х = 1 19/75;
(20/60 + 15/60 + 12/60) * х = 1 19/75;
47/60 * х = 94/75;
х = 94/75 : 47/60;
х = 94/75 * 60/47;
х = (94 * 60)/(75 * 47);
х = 5640/3525;
х = 24/15;
х = 8/5;
х = 1 3/5.
Проверка:
1/3 * 1 3/5 + 1/4 * 1 3/5 + 1/5 * 1 3/5 = 1 19/75;
(1/3 + 1/4 + 1/5) * 8/5 = 1 19/75;
((1 * 20)/(3 * 20) + (1 * 15)/(4 * 15) + (1 * 12)/(5 * 12)) * 8/5 = 1 19/75;
(20/60 + 15/60 + 12/60) * 8/5 = 1 19/75;
47/60 * 8/5 = 94/75;
(47 * 8)/(60 * 5) = 94/75;
376/300 = 94/75;
94/75 = 94/75. Решение выполнено правильно.