1) (10 + 11/24) - x = (6 + 7/16)
(10 + 11/24) - x = (6 + 7/16)
((10 · 24 + 11)/24) - (x · 24 · 16)/24 · 16 = ((6 · 16 + 7)/16)
((24 + 11)/24) - x24 · 16/384 = ((96 + 7)/16)
(35/24) - 384x/384 = (103/16)
35 · 16/24 · 16 - 384x/384 = 103 · 24/16 · 24
560/384 - 384x/384 = 2472/384
560 - 384x = 2472
(-384x) = 2472 - 560
(-384x) = 1912
x = 1912/384 = 956/192 = 478/96 = 239/48 = 119,5/24
2) (5/6+x)-2/3=13/18
18(5/6+x)/18-2·6/3·6=13/18
(90/6+18x)-12=13
18x=13+12-90/6
18x=1-90/6
18x=6/6-90/6
18x=84/6
x=84/6÷18
x=84/6·1/18
x=42/6·1/9
x=16/6·1/3
x=16/18=8/9