Решите уравнение 1)х:2 2/15=1 9/16 2)4 4/9:х=5/27 3) 1 4/9х=5,2

1) х : 2 2/15 = 1 9/16;

х = 1 9/16 * 2 2/15;

х = (1 * 16 + 9)/16 * (2 * 15 + 2)/15;

х = 25/16 * 32/15;

х = (25 * 32)/(16 * 15);

х = (5 * 5 * 2 * 16)/(16 * 5 * 3);

х = 10/3;

х = 3 1/3.

2) 4 4/9 : х = 5/27;

4 4/9 = 5/27х;

х = 4 4/9 : 5/27;

х = (4 * 9 + 4)/9 * 27/5;

х = 40/9 * 27/5;

х = (8 * 5 * 9 * 3)/(9 * 5);

х = 24.

3) 1 4/9х = 5,2;

х = 5,2 : 1 4/9;

х = 52/10 : (1 * 9 + 4)/9;

х = 52/10 : (9 + 4)/9;

х = 52/10 : 13/9;

х = 52/10 * 9/13;

х = (13 * 4 * 9)/(10 * 13);

х = (4 * 9)/10;

х = 36/10;

х = 3,6.