a) 23/11 .....<........32/11 2+3/11......=......3+2/11 2x3/11.....=.......3x2/11
3x1/11....=.......3:1/11 3+1/11......>.....3-1/11 3-3/11.....=.......1-1/11
b) 6:3/19..<...6:2/19 6+3/19...>..6+2/19 6x3/19..>...6x2/19 6-3/19..<...6-2/19
a) 23/11 < 32/11 2+3/11 < 3+2/11 2x3/11 = 3x2/11
3x1/11 < 3:1/11 3+1/11 > 3-1/11 3-3/11 > 1-1/11
b) 6:3/19 < 6:2/19 6+3/19 > 6+2/19 6x3/19 > 6x2/19 6-3/19 < 6-2/19
`a)` vì `23<32`
`=>23/11 .....<........32/11`
`---------`
ta có :
`2 + 3/11= 22/11 + 3/11= 25/11`
`3+ 2/11= 33/11 + 2/11= 35/11`
vì `25< 35`
`=> 2+3/11...<.........3+2/11 `
`---------`
`2 xx 3/11= 6/11`
`3 xx 2/11= 6/11`
vì `6=6`
`=> 2xx3/11......=......3xx2/11`
`----------`
`3 xx 1/11= 3/11`
`3 : 1/11= 3 xx 11= 33`
`=>2xx3/11..<..........3xx2/11`
`----------`
`3 + 1/11= 33/11+1/11= 34/11`
`3-1/11= 33/11-1/11=32/11`
`=>3+1/11.....>......3-1/11`
`---------`
`3-3/11= 33/11-3/11= 30/11`
`1-1/11= 11/11-1/11=10/11`
`=>3-3/11.....>.......1-1/11`
`b)`
`6 : 3/19= 6 xx 19/3= 114/3`
`6 : 2/19= 6 xx 19/2= 114/2`
`=> 6:3/19..<...6:2/19 `
`---------`
`6 + 3/19= 114/19 + 3/19= 117/19`
`6+2/19= 114/19 + 2/19= 116/19`
`=> 6+3/19...>..6+2/19 `
`----------`
`6xx3/19= 18/19`
`6xx2/19=12/19`
`=>6xx3/19..>...6xx2/19`
`---------`
`6-3/19= 114/19 - 3/19= 111/19`
`6-2/19=114/19-2/19=112/19`
`=> 6-3/19..<...6-2/19`