Решите уравнения (3 1/8+1 3/4)x=2 1/6 и (2 1/12-1 5/6)x=3/4

Question

Решите уравнения (3 1/8+1 3/4)x=2 1/6 и (2 1/12-1 5/6)x=3/4

Answer 1

(3 1/8+1 3/4)х=2 1/6
(3 1/8+1 6/8)х=2 1/6
4 7/8х=2 1/6
х=2 1/6:4 7/8
х=13/6:39/8
х=13/6*8/39
х=4/9

(2 1/12-1 5/6)х=3/4
(25/12-11/6)х=3/4
(25/12-22/12)х=3/4
3/12х=3/4
1/4х=3/4
х=3/4:1/4
х=3/4*4/1
х=3

Answer 2

1)(3 1/8+1 3/4)х=2 1/6
(3 1/8+1 6/8)x=2 1/6
4 7/8x=2 1/6
39/8x=13/6
x=(13/6)/(39/8)
x=(13*8)/(6*39)
x=(1*8)/(6*3)
x=8/18
x=4/9
2))x=3/4:(2 1/12-1 5/6)=3/4:(1 13/12-1 10/12)=3/4:3/12=3/4*12/3=3