1.
1) 5/10 = 1/2 = 0,5
2) 8/32 = 1/4 = 0,25
3) 14/63 = 2/9
4) 25/40 = 5/8 = 0,625
5) 32/80 = 4/10 = 2/5 = 0,4
6) 56/72 = 7/9
7) 72/108 = 8/12 = 2/3
8) 480/640 = 48/64 = 6/8 = 3/4 = 0,75
2.
1) 8/9 17/18
16/18 < 17/18
2) 6/7 17/21
18/21 > 17/21
3) 7/12 11/15
35/60 < 44/60
4) 5/9 4/7
35/63 < 36/63
5) 7/15 13/18
42/90 < 65/90
6) 7/36 11/42
49/252 < 66/252
3.
3/8, 5/6, 7/9, 1/4
3/8 = 27/72
5/6 = 60/72
7/9 = 56/72
1/4 = 18/72
18/72, 27/72, 56/72, 60/72 или 1/4, 3/8, 7/9, 5/6
4.
x/8 < 31/48
6x/48 < 31/48
6x < 31
x < 31/6
x < 5 1/6 (5 целых одна шестая)
Ответ: (-∞; 5 1/6)
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Answers & Comments
1.
1) 5/10 = 1/2 = 0,5
2) 8/32 = 1/4 = 0,25
3) 14/63 = 2/9
4) 25/40 = 5/8 = 0,625
5) 32/80 = 4/10 = 2/5 = 0,4
6) 56/72 = 7/9
7) 72/108 = 8/12 = 2/3
8) 480/640 = 48/64 = 6/8 = 3/4 = 0,75
2.
1) 8/9 17/18
16/18 < 17/18
2) 6/7 17/21
18/21 > 17/21
3) 7/12 11/15
35/60 < 44/60
4) 5/9 4/7
35/63 < 36/63
5) 7/15 13/18
42/90 < 65/90
6) 7/36 11/42
49/252 < 66/252
3.
3/8, 5/6, 7/9, 1/4
3/8 = 27/72
5/6 = 60/72
7/9 = 56/72
1/4 = 18/72
18/72, 27/72, 56/72, 60/72 или 1/4, 3/8, 7/9, 5/6
4.
x/8 < 31/48
6x/48 < 31/48
6x < 31
x < 31/6
x < 5 1/6 (5 целых одна шестая)
Ответ: (-∞; 5 1/6)