Пошаговое объяснение:
1)
2/5 /(3/5х - 1/5) - 1/5 = 1/20
2/5 /(3/5х - 1/5) = 1/20 + 1/5
2/5 /(3/5х - 1/5) = 1/20 + 4/20
2/5 /(3/5х - 1/5) = 5/20
2/5 /(3/5х - 1/5) = 1/4
3/5х - 1/5 = 2/5 : 1/4
3/5х - 1/5 = 2/5 * 4/1
3/5х - 1/5 = 8/5
3/5х = 8/5 + 1/5
3/5х = 9/5
х = 9/5 : 3/5
х = 9/5 * 5/3
х = 3/1 * 1/1
х = 3/1
х = 3
2)
2/3 /(5/6х - 1/6) + 1/3 = 7/9
2/3 /(5/6х - 1/6) = 7/9 - 1/3
2/3 /(5/6х - 1/6) = 7/9 - 3/9
2/3 /(5/6х - 1/6) = 4/9
5/6х - 1/6 = 2/3 : 4/9
5/6х - 1/6 = 2/3 * 9/4
5/6х - 1/6 = 1/1 * 3/2
5/6х - 1/6 = 3/2
5/6х = 3/2 + 1/6
5/6х = 9/6 + 1/6
5/6х = 10/6
х = 10/6 : 5/6
х = 10/6 * 6/5
х = 2/1 * 1/1
х = 2/1
х = 2
3)
3/4 /(1/8х + 3/8) - 1/2 = 5/14
3/4 /(1/8х + 3/8) = 5/14 + 1/2
3/4 /(1/8х + 3/8) = 5/14 + 7/14
3/4 /(1/8х + 3/8) = 12/14
1/8х + 3/8 = 3/4 : 12/14
1/8х + 3/8 = 3/4 * 14/12
1/8х + 3/8 = 1/2 * 7/4
1/8х + 3/8 = 7/8
1/8х = 7/8 - 3/8
1/8х = 4/8
х = 4/8 : 1/8
х = 4/8 * 8/1
х = 4/1 * 1/1
х = 4/1
х = 4
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Answers & Comments
Пошаговое объяснение:
1)
2/5 /(3/5х - 1/5) - 1/5 = 1/20
2/5 /(3/5х - 1/5) = 1/20 + 1/5
2/5 /(3/5х - 1/5) = 1/20 + 4/20
2/5 /(3/5х - 1/5) = 5/20
2/5 /(3/5х - 1/5) = 1/4
3/5х - 1/5 = 2/5 : 1/4
3/5х - 1/5 = 2/5 * 4/1
3/5х - 1/5 = 8/5
3/5х = 8/5 + 1/5
3/5х = 9/5
х = 9/5 : 3/5
х = 9/5 * 5/3
х = 3/1 * 1/1
х = 3/1
х = 3
2)
2/3 /(5/6х - 1/6) + 1/3 = 7/9
2/3 /(5/6х - 1/6) = 7/9 - 1/3
2/3 /(5/6х - 1/6) = 7/9 - 3/9
2/3 /(5/6х - 1/6) = 4/9
5/6х - 1/6 = 2/3 : 4/9
5/6х - 1/6 = 2/3 * 9/4
5/6х - 1/6 = 1/1 * 3/2
5/6х - 1/6 = 3/2
5/6х = 3/2 + 1/6
5/6х = 9/6 + 1/6
5/6х = 10/6
х = 10/6 : 5/6
х = 10/6 * 6/5
х = 2/1 * 1/1
х = 2/1
х = 2
3)
3/4 /(1/8х + 3/8) - 1/2 = 5/14
3/4 /(1/8х + 3/8) = 5/14 + 1/2
3/4 /(1/8х + 3/8) = 5/14 + 7/14
3/4 /(1/8х + 3/8) = 12/14
1/8х + 3/8 = 3/4 : 12/14
1/8х + 3/8 = 3/4 * 14/12
1/8х + 3/8 = 1/2 * 7/4
1/8х + 3/8 = 7/8
1/8х = 7/8 - 3/8
1/8х = 4/8
х = 4/8 : 1/8
х = 4/8 * 8/1
х = 4/1 * 1/1
х = 4/1
х = 4