已知:1/x+1/y=4,则2x+xy+2y/3x-4xy+3y=_.

问题描述:

已知:

1
x
+
1
y
=4,则
2x+xy+2y
3x-4xy+3y
=___

1
x
+
1
y
=4,
∴x+y=4xy,
∴原式=
xy+2(x+y)
3(x+y)-4xy

=
xy+8xy
12xy-4xy

=
9xy
8xy

=
9
8

故答案为:
9
8