54×(1/23-1/31)+23×(1/31+1/54)+31×(1/23-1/54)

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54×(1/23-1/31)+23×(1/31+1/54)+31×(1/23-1/54)

54×(1/23-1/31)+23×(1/31+1/54)+31×(1/23-1/54)
54×(1/23-1/31)+23×(1/31+1/54)+31×(1/23-1/54)

54×(1/23-1/31)+23×(1/31+1/54)+31×(1/23-1/54)
原式=54/23-54/31+23/31+23/54-31/23+31/54
=(54-31)/23-(54-23)/31+(23+31)/54
=1-1+1
=1