76x(1/23-1/53)+23x(1/53+1/76)-53x(1/23-1/76)

76x(1/23-1/53)+23x(1/53+1/76)-53x(1/23-1/76)
76x(1/23-1/53)+23x(1/53+1/76)-53x(1/23-1/76)

76x(1/23-1/53)+23x(1/53+1/76)-53x(1/23-1/76)
76x(1/23-1/53)+23x(1/53+1/76)-53x(1/23-1/76)
=76*1/23-76*1/53+23*1/53+23*1/76-53*1/23+53*1/76
=76/23-76/53+23/53+23/76-53/23+53/76
=(76/23-53/23)-(76/53-23/53)+(23/76+53/76)
=1-1+1
=1
我在做轻松上初中看见这题的

76X（1/23—1/53)+23X(1/53+1/76)—53X(1/23—1/76)
=76×1/23-75×1/53+23×1/53+23×1/76-53×1/23+53×1/76
=1/23×(76-53)+1/53(23-76)+1/76(23+53)
=1/23×23+1/53×（-53）+1/76×76
=1-1+1
=1（-53）没学负数76...

全部展开

76X（1/23—1/53)+23X(1/53+1/76)—53X(1/23—1/76)
=76×1/23-75×1/53+23×1/53+23×1/76-53×1/23+53×1/76
=1/23×(76-53)+1/53(23-76)+1/76(23+53)
=1/23×23+1/53×（-53）+1/76×76
=1-1+1
=1

收起

76x(1/23-1/53)+23x(1/53+1/76)-53x(1/23-1/76)
=76*1/23-76*1/53+23*1/53+23*1/76-53*1/23+53*1/76
=76/23-76/53+23/53+23/76-53/23+53/76
=(76/23-53/23)-(76/53-23/53)+(23/76+53/76)
=1-1+1
=1

76x(1/23-1/53)+23x(1/53+1/76)-53x(1/23-1/76)
=76*1/23-76*1/53+23*1/53+23*1/76-53*1/23+53*1/76
=76/23-76/53+23/53+23/76-53/23+53/76
=(76/23-53/23)-(76/53-23/53)+(23/76+53/76)
=1-1+1