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

问题描述:

计算:76×(

1
23
1
53
)+23×(
1
53
+
1
76
)−53×(
1
23
1
76
)=______.

76×(

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.