Решить уравнение 1 2/5:2 1/3=5/3t:3,5

1 2/5 : 2 1/3 = 5/3 t : 3,5;

7/5 : 7/3 = 5/3 t : 7/2;

7/5 * 3/7 = 5/3 t : 7/2;

3/5 = 5/3 t : 7/2;

5/3 t = 3/5 * 7/2;

5/3 t = 21/10;

5/3 t = 21/10 : 5/3;

t = 21/10 * 3/5;

t = 63/50 = 1 13/50.

Проверка:

1 2/5 : 2 1/3 = 5/3 * 1 13/50 : 3,5;

7/5 : 7/3 = 5/3 * 63/50 : 7/2;

7/5 * 3/7 = 5/3 * 63/50 : 7/2;

3/5 = 21/10 : 7/2;

3/5 = 21/10 * 2/7;

3/5 = 3/5.

Ответ: t = 63/50 = 1 13/50.