Пошаговое объяснение:
№1
1/х - 1/6 1/4х = 3/25
6 1/4 / 6 1/4х - 1/ 6 1/4х = 3/25
5 1/4 / 6 1/4х = 3/25
6 1/4х = 5 1/4 : 3/25
25/4х = 21/4 * 25/3
25/4х = 7/4 * 25/1
25/4х = 175/4
х = 175/4 : 25/4
х = 175/4 * 4/25
х = 7/1 * 1/1
х = 7/1
х = 7 (D)
№2
2/х + 1 /4 1/2х = 4/9
(4 1/2 * 2)/ 4 1/2х + 1/ 4 1/2х = 4/9
(9/2 * 2)/ 4 1/2х + 1/ 4 1/2х = 4/9
9/ 4 1/2х + 1/ 4 1/2х = 4/9
10/ 4 1/2х = 4/9
4 1/2х = 10 : 4/9
9/2х = 10 * 9/4
9/2х = 90/4
х = 90/4 : 9/2
х = 90/4 * 2/9
х = 10/2 * 1/1
х = 10/2
х = 5 (С)
№3
6/х + 1/ 1 1/2х = 2/3
(1 1/2 * 6)/ 1 1/2х + 1/ 1 1/2х = 2/3
(3/2 * 6)/ 1 1/2х + 1/ 1 1/2х = 2/3
9/ 1 1/2х + 1/ 1 1/2х = 2/3
10/ 1 1/2х = 2/3
1 1/2х = 10 : 2/3
3/2х = 10 * 3/2
3/2х = 30/2
3/2х = 15
х = 15 : 3/2
х = 15 * 2/3
х = 30/3
х = 10
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Answers & Comments
Пошаговое объяснение:
№1
1/х - 1/6 1/4х = 3/25
6 1/4 / 6 1/4х - 1/ 6 1/4х = 3/25
5 1/4 / 6 1/4х = 3/25
6 1/4х = 5 1/4 : 3/25
25/4х = 21/4 * 25/3
25/4х = 7/4 * 25/1
25/4х = 175/4
х = 175/4 : 25/4
х = 175/4 * 4/25
х = 7/1 * 1/1
х = 7/1
х = 7 (D)
№2
2/х + 1 /4 1/2х = 4/9
(4 1/2 * 2)/ 4 1/2х + 1/ 4 1/2х = 4/9
(9/2 * 2)/ 4 1/2х + 1/ 4 1/2х = 4/9
9/ 4 1/2х + 1/ 4 1/2х = 4/9
10/ 4 1/2х = 4/9
4 1/2х = 10 : 4/9
9/2х = 10 * 9/4
9/2х = 90/4
х = 90/4 : 9/2
х = 90/4 * 2/9
х = 10/2 * 1/1
х = 10/2
х = 5 (С)
№3
6/х + 1/ 1 1/2х = 2/3
(1 1/2 * 6)/ 1 1/2х + 1/ 1 1/2х = 2/3
(3/2 * 6)/ 1 1/2х + 1/ 1 1/2х = 2/3
9/ 1 1/2х + 1/ 1 1/2х = 2/3
10/ 1 1/2х = 2/3
1 1/2х = 10 : 2/3
3/2х = 10 * 3/2
3/2х = 30/2
3/2х = 15
х = 15 : 3/2
х = 15 * 2/3
х = 30/3
х = 10