1919分之5757减去575757分之191919等于? 简便计算

5757/1919-191919/575757=
(101*57)/(101*19)-(19*10101)/(57*10101)=
57/19-19/57=
3-1/3=8/3

原式=5757/1919-191919/575757=57/19-19/57=3-1/3=8/3

5757/1919-191919/575757
=(57*101)/(19*101)-(19*10101)/(57*10101)
=57/19-19/57
=3-1/3
=8/3

=57*101/19*101-57*10101/19*10101
=57/19-57/19
=0

5757/1919=3
191919/575757=1/3
所以
3-1/3=2又2/3=8/3

1919=19×101
5757=57×101
575757=57×10101
191919=19×10101
所以5757/1919-191919/575757
=57×101/19×101-19×10101/57×10101
=57/19-19/57
=3-1/3
=8/3