How to calculate 76 times (1 / 23 minus 1 / 53) + 23 times (1 / 53 + 1 / 76) minus 53 times (1 / 23 minus 1 / 76)

How to calculate 76 times (1 / 23 minus 1 / 53) + 23 times (1 / 53 + 1 / 76) minus 53 times (1 / 23 minus 1 / 76)

76 times (1 / 23 minus 1 / 53) + 23 times (1 / 53 + 1 / 76) minus 53 times (1 / 23 minus 1 / 76)
=76/23-76/53+23/53+23/76-53/23+53/76
=(76-53)/23-(76/53-23/53)+(23+53)/76
=1-1+1
=1