1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496用小学的代换法(1/2是二分之一)

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1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496用小学的代换法(1/2是二分之一)
1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496
用小学的代换法(1/2是二分之一)

1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496用小学的代换法(1/2是二分之一)
1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496
=1-1/2+1/2-1/4+1/4-1/8+1/31+1/31-1/62+1/62-1/124+1/124-1/248+1/248-1/496
=1-1/8+2/31-1/496
=7/8+31/496
=7/8+1/16
=15/16

1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496
=【1/2+1/4+1/8】+【1/31+1/62+1/124+1/248+1/496】
=(4+2+1)/8+(16+8+4+2+1)/496
=7/8+31/496
=7/8+1/16
=15/16