Решите уравнение;1)5 1/3+х=7,5;2)6 3/7-у=4,2;3)m+8 1/9=9,4;4)10 7/11-n=3,6.

1) 5 1/3 + х = 7,5;

(5 * 3 + 1)/3 + x = 75/10.

x = 15/2 - 16/3.

x = (15 * 3)/6 - (16 * 2)/6.

x = 45/6 - 32/6.

x = (45 - 32)/6.

x = 13/6 = 2 1/6.

Ответ: х = 2 1/6,

2) 6 3/7 - у = 4,2,

(6 * 7 + 3)/7 - у = 42/10,

у = 45/7 - 21/5,

у = (45 * 5)/35 - (21 * 7)/35,

у = 225/35 - 147/35,

у = (225 - 147)/35,

у = 78/35 = 2 8/35,

Ответ: у = 2 8/35,

3) m + 8 1/9 = 9,4,

m = 94/10 - (8 * 9 + 1)/9.

m = 47/5 - 73/9.

m = (47 * 9)/45 - (73 * 5)/45.

m = 423/45 - 365/45.

m = (423 - 365)/45.

m = 58/45 = 1 13/45.

Ответ: m = 1 13/45.

4) 10 7/11 - n = 3,6.

n = (10 * 11 + 7)/11 - 36/10.

n = 117/11 - 18/5.

n = (117 * 5)/55 - (18 * 11)/55.

n = 585/55 - 198/55.

n = (585 - 198)/55.

n = 387/55 = 7 2/55.

Ответ: n = 7 2/55.