1)8 9/14+3 3/7 = 8 9/14 + 3 6/14 = 11 15/14 = 12 1/14
2)12 11/12+13/18 = 12 33/36 + 26/36 = 12 59/36 = 13 23/36
3)7 5/12-3 7/24 = 7 10/24 - 3 7/24 = 4 3/24 = 4 1/8
4)12 7/9-8 2/15 = 12 35/45 - 8 6/45 = 4 29/45
5)24 11/16-17 1/6 = 24 33/48 - 17 8/48 = 7 25/48
6)8 23/30-7 11/20 = 8 46/60 - 7 33/60 = 1 13/60
7)4 3/16-5/8 = 4 3/16 - 10/16 = 3 19/16 - 10/16 = 3 9/16
8)6 4/9-3 7/5 = 6 20/45 - 3 63/45 = 5 65/45 - 3 63/45 = 2 2/45
9)10 3/24-9 19/36 = 10 9/72 - 9 38/72 = 9 81/72 - 9 38/72 = 43/72
10)22 10/51-18 2/34 = 22 20/102 - 18 6/102 = 4 14/102 = 4 7/51
11)14 4/19-13 1/8 = 14 32/152 - 13 19/152 = 1 13/152
12)62 9/11-45 1/22 = 62 18/22 - 45 1/22 = 17 17/22
13)7/8-(-3/10)=7/8+3/10=35/40+12/40=47/40=1 7/40
14)11/12-17/18=33/36-34/36=-1/36
15)-3/7-9/14=-6/14-9/14=-15/14=-1 1/14
16)-5/9 -(-3/4)=-5/9+3/4=-20/36+27/36=7/36
17)3 11/12-(4 4/9)=3 11/12-4 4/9=3 33/36-4 16/36=33/36-1 16/36=17/36-1=19/36
18)4 5/17-6=5/17-2=-1 12/17
19)1 3/8-3 1/4=1 3/8-3 2/8=3/8-2 2/8=1/8-2=-1 7/8
20)-2 14/15-1 19/45=-2 42/45-1 19/45=-3 61/45=-4 16/45
Пошаговое объяснение:
по условию х-у=24 (1);
числа обратные данным 2/3 и 3/4 это 3/2 и 4/3; тогда:
х:3/2=у:4/3;
2х/3=3у/4;
х=9у/8 (2);
подставим х=9у/8 в (1):
9у/8 - у=24;
24+у=9у/8;
у=192;
подставим у=192 в (1):
х-192=24
х=24+192=216;
ответ: 216; 192