1) 3/4 3/8 x - 3/4 - 1/6 = 1/2;Упростим левую часть уравнения:9/32 x - 3/4 - 1/6 = 1/2;9/32 x - 3/4 - 8/48 = 24/48;9/32 x - 3/4 - 8/48 = 24/48;9/32 x - 3/4 - 8/48 = 24/48;9/32 x - 3/4 - 8/48 = 24/48;9/32 x - 3/4 - 8/48 = 1/2;Далее приводим уравнение к общему знаменателю и решаем:9/32 x = 24/48 + 3/4 + 8/48;9/32 x = 24/48 + 36/48 + 8/48;9/32 x = 68/48;x = (68/48) (32/9) = 2.39
2) 2/3 1/2 x + 1/3 - 1/6 = 1/30;2/6 x + 1/3 - 1/6 = 1/30;1/3 x + 1/3 - 1/6 = 1/30;1/3 x + 2/6 - 1/6 = 1/30;1/3 x + 1/6 = 1/30;Упростим:2/6 x = 1/30 - 1/6;1/3 x = 1/30 - 5/30;1/3 x = -4/30;x = (-4/30) (3/1) = -0.4
3) 5/6 - 7/15 1/4 x - 3/5 = 1/2;5/6 - 7/60 x - 3/5 = 1/2;50/60 - 7/60 x - 36/60 = 30/60;14/60 x = 16/60;x = (16/60) (60/14) = 4/14 = 2/7.
1) 3/4 3/8 x - 3/4 - 1/6 = 1/2;
Упростим левую часть уравнения:
9/32 x - 3/4 - 1/6 = 1/2;
9/32 x - 3/4 - 8/48 = 24/48;
9/32 x - 3/4 - 8/48 = 24/48;
9/32 x - 3/4 - 8/48 = 24/48;
9/32 x - 3/4 - 8/48 = 24/48;
9/32 x - 3/4 - 8/48 = 1/2;
Далее приводим уравнение к общему знаменателю и решаем:
9/32 x = 24/48 + 3/4 + 8/48;
9/32 x = 24/48 + 36/48 + 8/48;
9/32 x = 68/48;
x = (68/48) (32/9) = 2.39
2) 2/3 1/2 x + 1/3 - 1/6 = 1/30;
2/6 x + 1/3 - 1/6 = 1/30;
1/3 x + 1/3 - 1/6 = 1/30;
1/3 x + 2/6 - 1/6 = 1/30;
1/3 x + 1/6 = 1/30;
Упростим:
2/6 x = 1/30 - 1/6;
1/3 x = 1/30 - 5/30;
1/3 x = -4/30;
x = (-4/30) (3/1) = -0.4
3) 5/6 - 7/15 1/4 x - 3/5 = 1/2;
5/6 - 7/60 x - 3/5 = 1/2;
50/60 - 7/60 x - 36/60 = 30/60;
14/60 x = 16/60;
x = (16/60) (60/14) = 4/14 = 2/7.