1)
(1,7 : (х - 10,25)) * 21 1/4 = 2 5/6
1,7 : (х-10,25) = 2 5/6 : 21 1/4
1,7 : (х-10,25) = 17/6 * 4/85
1,7 : (х - 10,25) = (1*2)/(3*5)
1,7 : (х-10,25)= 2/15
х - 10,25 = 1,7 : 2/15
х - 10,25 = 17/10 * 15/2
х - 10,25 = (17*3)/(2*2)
х - 10,25 = 51/4
х - 10,25 = 12,75
х=12,75 +10,25
х= 23
проверим:
(1,7 : ( 23 - 10,25) ) * 21 1/4 = 2 5/6
( 1,7 : 12,75 ) * 21 1/4 = 2 5/6
(17/10 * 100/1275) * 21 1/4 = 2 5/6
34/255 * 85/4 = 2 5/6
(17*1) / (3*2) = 2 5/6
17/6 = 2 5/6
2 5/6 = 2 5/6
2)
13/15 : (0,6(0,6х+0,5) - 5/8) = 1,6
13/15 : (0,36х + 0,3 -5/8) =1,6
13/15 : (0,36х + 12/40 - 25/40) = 1,6
0,36х -13/40 = 13/15 : 1,6
0,36х - 13/40 = 13/15 * 10/16
0,36х - 13/40 = 13/24
0,36х= 13/24 + 13/40
0,36х= 130/240 + 78/240
0,36х= 208/240
0,36х= 13/15
х= 13/15 : 0,36 = 13/15 * 100/36 = 13/15 * 25/9 = 65/27
х= 2 11/27
проверим:
13/15 : ( 0,6 *(0,6 * 2 11/27 +0,5) - 5/8) =1,6
13/15 : (0,6 * ( 13/9 + 5/10) - 5/8) =1,6
13/15 : ( 6/10 * 35/18 -5/8) =1,6
13/15 : ( 7/6 - 5/8) = 1,6
13/15 : ( 28/24 - 15/24 ) = 1,6
13/15 : 13/24 = 1,6
13/15 * 24/13 = 1,6
24/15 =1,6
1,6=1,6
Проверь условие !
х≠5
Если подставить значение х= 5 в уравнение:
13/15 : ( 0,6 * ( 0,6*5 +0,5) -5/8) =
= 13/15 : (0,6 * 3,5 - 5/8) =
= 13/15 : ( 2,1 - 5/8 ) =
= 13/15 : (21/10 - 5/8) =
= 13/15 : ( 84/40 - 25/40)=
= 13/15 : 59/40= 13/15 * 40/59 =
= (13* 8) / ( 3 *59) = 104/177 ≈0,59 что ≠ 1,6 !!!
(6 целых 1/8 - 1 целая 75/100 ):(9 - 2 целых 2/10 * (5 целых 6/11 - 3 целых 5/10))*9/7=
(49/8 - 175/100):(9/1 - 22/10 * ( 61/11 - 35/10))*9/7 =( 3500/800) : (9/1 - 22/10*(225/110))*9/7=
<span>( 3500/800) : (9/1 -495/110 )*9/7= ( 3500/800) : (495/110)*9/7= 3500/800 * 495/110 *9/7= 7700/7920*9/7= 110/88=5/4 или 1 целая 1/4</span>
(1/12 + 1/6) : ( 3/8 - 1/4) = (1/12 + 2/12) : ( 3/8 - 2/8) = 3/12 : 1/8 = 1/4 х 8/1 = 2.
( 1 - 4/9) : (1/3 - 1/4) = 5/9 : ( 4/12 - 3/12) = 5/9: 1/12 = 5/9 х 12/1 = 20/3 = 6 2/3.
(1/3 - 5/16):(1/6 - 1/8)= (16/48 - 15/48):(4/24-3/24)= 1/48:1/24= 1/48 х 24/1 = 1/2.
(5/7-2/3):(4/9-5/12) = (15/21-14/21):(16/36-15/36)= 1/21:1/36= 1/21х36/1=36/21=12/7= 1 5/7.
