计算：76×(1/23−1/53)+23×(1/53+1/76)−53×(1/23−1/76)=_．

题目

计算：76×(

1

23

−

1

53

)+23×(

1

53

+

1

76

)−53×(

1

23

−

答案

76×(

1

1

23

−

1

53

)+23×(

1

53

+

1

76

)−53×(

1

23

−

1

76

)
=76×

1

23

-76×

1

53

+23×

1

53

+23×

1

76

-53×

1

23

+53×

1

76

=76×

1

23

-53×

1

23

-76×

1

53

+23×

1

53

+23×

1

76

+53×

1

76

═1-1+1
=1．
故答案为：1．