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

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