Решите уравнение 3 1/3:у=1 1/3:2; 2/7х+3/7х=2 7/14

№1

3 1/3 : у = 1 1/3 : 2;

10/3 : у = 4/3 : 2;

10/3 : у = 4/3 * 1/2;

10/3 : у = 2/3;

у = 10/3 : 2/3;

у = 10/3 * 3/2;

у = 5.

Проверка:

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

10/3 : 5 = 4/3 : 2;

10/3 * 1/5 = 4/3 * 1/2;

2/3 = 2/3.

Ответ: у = 5.

№2

2/7х + 3/7х = 2 7/14;

5/7х = 2 7/14;

5/7х = 2 1/2;

5/7х = 5/2;

х = 5/2 : 5/7;

х = 5/2 * 7/5;

х = 7/2 = 3 1/2.

Проверка:

2/7 * 3 1/2 + 3/7 * 3 1/2 = 2 7/14;

2/7 * 7/2 + 3/7 * 7/2 = 35/14;

1 + 3/2 = 35/14;

2/2 + 3/2 = 35/14;

5/2 = 35/14;

35/14 = 35/14.

Ответ: х = 7/2 = 3 1/2.