1) 7 1/2 : 4 1/2 = х : 3/25; 4 1/2 х=15/2 * 3/25; х=9/10 * 2/9; х=1/5
2) 24/(х + 2) = 1/5; х+2=24 * 5; х+2=120; х=120-2; х=118
3) (у - 5)/6 = 4/3; 3(у-5)=24; у-5=24/3; у-5=8; у=8+5; у=13
4) 2/5 = 6/(х + 3); 2(х+3)=30; х+3=30/2; х+3=15; х=15-3; х=12.
5) 5/6 = 15/(2х - 3); 5(2х - 3)=90; 2х-3=18; 2х=21; х=10,5
6) 12 : 4/5 х = 20 : 1/4; 4/5 х * 20=12/4; 16 х =3; х=3/16
Пошаговое объяснение:
/ знак деления)
1)
7. 1/2 : 4. 1/2 = х : 3/25
4. 1/2 * х = 7. 1/2 * 3/25
4. 1/2х = 15/2 * 3/25
9/2х = 3/2 * 3/5
9/2х = 9/10
х = 9/10 : 9/2
х = 9/10 * 2/9
х = 2/10
х = 1/5
2)
24/х + 2 = 1/5
24/х = 1/5 - 2
24/х = 1/5 - 1. 5/5
24/х = -1. 4/5
24/х = -9/5
х = 24 : (-9/5)
х = 24 * (-5/9)
х = 8 * (-5/3)
х = -40/3
х = -13. 1/3
3)
у - 5/6 = 4/3
у = 4/3 + 5/6
у = 8/6 + 5/6
у = 13/6
у = 2. 1/6
4)
2/5 = 6/(х+3)
2 * (х+3) = 5 * 6
2х + 6 = 30
2х = 30 - 6
2х = 24
х = 24 : 2
х = 12
5)
5/6 = 15/(2х-3)
5 * (2х - 3) = 6 * 15
10х - 15 = 90
10х = 90 + 15
10х = 105
х = 105 : 10
х = 10,5
6)
12 : (4х)/5 = 20 : 1/4
4х/5 * 20 = 12 * 1/4
80х/5 = 12/4
16х = 3
х = 3 : 16
х = 3/16
1) 7 1/2 : 4 1/2 = х : 3/25; 4 1/2 х=15/2 * 3/25; х=9/10 * 2/9; х=1/5
2) 24/(х + 2) = 1/5; х+2=24 * 5; х+2=120; х=120-2; х=118
3) (у - 5)/6 = 4/3; 3(у-5)=24; у-5=24/3; у-5=8; у=8+5; у=13
4) 2/5 = 6/(х + 3); 2(х+3)=30; х+3=30/2; х+3=15; х=15-3; х=12.
5) 5/6 = 15/(2х - 3); 5(2х - 3)=90; 2х-3=18; 2х=21; х=10,5
6) 12 : 4/5 х = 20 : 1/4; 4/5 х * 20=12/4; 16 х =3; х=3/16
Пошаговое объяснение:
/ знак деления)
Пошаговое объяснение:
1)
7. 1/2 : 4. 1/2 = х : 3/25
4. 1/2 * х = 7. 1/2 * 3/25
4. 1/2х = 15/2 * 3/25
9/2х = 3/2 * 3/5
9/2х = 9/10
х = 9/10 : 9/2
х = 9/10 * 2/9
х = 2/10
х = 1/5
2)
24/х + 2 = 1/5
24/х = 1/5 - 2
24/х = 1/5 - 1. 5/5
24/х = -1. 4/5
24/х = -9/5
х = 24 : (-9/5)
х = 24 * (-5/9)
х = 8 * (-5/3)
х = -40/3
х = -13. 1/3
3)
у - 5/6 = 4/3
у = 4/3 + 5/6
у = 8/6 + 5/6
у = 13/6
у = 2. 1/6
4)
2/5 = 6/(х+3)
2 * (х+3) = 5 * 6
2х + 6 = 30
2х = 30 - 6
2х = 24
х = 24 : 2
х = 12
5)
5/6 = 15/(2х-3)
5 * (2х - 3) = 6 * 15
10х - 15 = 90
10х = 90 + 15
10х = 105
х = 105 : 10
х = 10,5
6)
12 : (4х)/5 = 20 : 1/4
4х/5 * 20 = 12 * 1/4
80х/5 = 12/4
16х = 3
х = 3 : 16
х = 3/16