х : 4/9 = 0,5 : 1/3
1/3х = 4/9 * 5/10
1/3х = 20/90 = 2/9
х = 2/9 : 1/3
х = 2/9 * 3/1
х = 2/3
Проверка: 2/3 : 4/9 = 5/10 : 1/3
2/3 * 9/4 = 5/10 * 3/1
3/2 = 15/10
1 1/2 = 1 5/10
1,5 = 1,5
х : 4/9 = 0,5 : 1/3
1/3х = 4/9 * 5/10
1/3х = 20/90 = 2/9
х = 2/9 : 1/3
х = 2/9 * 3/1
х = 2/3
Проверка: 2/3 : 4/9 = 5/10 : 1/3
2/3 * 9/4 = 5/10 * 3/1
3/2 = 15/10
1 1/2 = 1 5/10
1,5 = 1,5