5/6-7/15:1/4x-3/5=1/2 реши уравнение

Решаем уравнение с одним неизвестным:

5/6 - 7/15 / 1/4x - 3/5 = 1/2;

5/6 - 7/15 / 1/4x = 1/2 + 3/5;

5/6 - 7/15 / 1/4x = 5/10 + 6/10;

5/6 - 7/15 / 1/4x = 11/10;

7/15 / 1/4x = 5/6 - 11/10;

7/15 / 1/4x = 50/60 - 66/60;

7/15 / 1/4x = - 16/60;

7/15 / 1/4x = - 4/15;

1/4x = 7/15 / ( - 4/15);

1/4x = 7/15 х ( - 15/4);

1/4x = 7/1 х ( - 1/4);

1/4x = - 7/4;

Делим обе части уравнения на число при переменной:

x = - 7/4 / 1/4;

x = - 7/4 х 4/1;

x = - 7/1 х 1/1;

x = - 7;

Проверяем:

5/6 - 7/15 / (1/4 x ( - 7)) - 3/5 = 5/6 - 7/15 / ( - 7/4) - 3/5 = 5/6 - 7/15 х ( - 4/7) - 3/5 = 5/6 + 4/15 - 3/5 = 5/6 + 4/15 - 9/15 = 5/6 - 5/15 = 5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2.