5 целых 1/6+х = 7,5 6 целых 3/7 - у = 4,2 m + 8 целых 1/9 = 9,4 10 целых 7/11 - n = 3,6

1) 5 1/6 + х = 7,5;

(5 * 6 + 1) / 6 + х = 75/10;

(30 + 1) / 6 + х = 15/2;

х = 15/2 - 31/6 = 15 * 3/6 - 31/6 = 45/6 - 31/6 = (45 - 31) / 6 = 14/6 = 7/3;

2) 6 3/7 - у = 4,2;

(6 * 7 + 3) / 7 - у = 42/10;

(42 + 3) / 7 - у = 21/5;

45/7 - 21/5 = у;

у = 45 * 5/35 - 21 * 7/35 = 225/35 - 147/35 = (225 - 147) / 35 = 78/35;

3) m + 8 1/9 = 9,4;

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

m = - (8 * 9 + 1) / 9 + 94/10 = - 73/9 + 94/10 = - 730/90 + 846/90 = (846 - 730) / 90 = 116/90;

4) 10 7/11 - n = 3,6;

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

117/11 - 36/10 = n;

n = 1170/110 - 396/110 = 774/110 = 387/55.