1. Чтобы сравнить, надо привести к общему знаменателю.
9/10=18/20
18/20 > 17/20
9/10 > 17/20
.
4/9=12/27
12/27 > 10/27
4/9 > 10/27
.
3/10=9/30
4/15=8/30
9/30 > 8/30
3/10 > 4/15
.
6/7=18/21
2/3=14/21
18/21 > 14/21
6/7 > 2/3
.
7/15=56/120
19/40=57/120
56/120 < 57/120
7/15 < 19/40
.
13/18=91/126
23/42=69/126
91/126 > 69/126
13/18 > 23/42
.
.
2)
6=2*3
4=2*2
НОД(6,4)=2*2*3=12
5/6=10/12
3/4=9/12
.
8=2*4
6=2*3
НОД(8,6)=2*4*3=24
7/8=21/24
5/6=20/24
.
28=14*2
14=14*1
НОД(28,14)=14*2=28
9/14=18/28
.
7 - простое число
НОД(7,9)=7*9=63
3/7=27/63
4/9=28/63
.
16=4*4
12=4*3
НОД(16,12)=4*4*3=48
13/16=39/48
11/12=44/48
.
14=2*7
21=3*7
6=2*3
НОД(14,21,6)=2*3*7=42
3/14=9/42
4/21=8/42
5/6=35/42
1/5=3/15
3/8=6/16
11/14=110/140
15/16=180/192
2.
7/10=63/90
2/9=20/90
13/15=104/120
7/8=105/120
3/10=27/90
17/9=170/90
7/13=105/195
8/15=104/195
3.
1/4=3/12
1/3=4/12
2/3=8/12
3/4=9/12
1/2=7/14
3/7=6/14
3/5=18/30
5/6=25/30
7/10=63/90
2/9=20/90
4.
1/12=7/84
1/7=12/84
7/15=28/60
3/4=45/60
5/11=65/143
2/13=22/143
6/17=60/170
3/10=51/170
4/15=44/165
7/11=105/165
5.
1/2=15/30
1/3=10/30
1/5=6/30
2/3=40/60
4/5=48/60
3/4=45/60
1/3=35/105
1/5=21/105
4/7=60/106
6.
7/10=231/330
2/3=220/330
10/11=300/330
3/4=189/252
5/9=140/252
3/7=108/252
4/5=252/315
5/7=225/315
7/9=245/315