1: 2 7/9=x + 4 2/5x решить уравнение

1:2 7/9=х+4 2/5х
1:25/9=5 2/5х
9/25=27/5х
х=9/25:27/5
х=1/15

Проверка:
1:2 7/9=1/15+4 2/5*1/15
9/25=1/15+22/5*1/15
9/25=1/15+22/75
9/25=5/75+22/75
9/25=27/75
9/25=9/25