Question

已知:1/2+1-1/2,1/6=1/2-1/3,1/12=1/3-1/4,1/20=1/4-1/5.求1/2+1/6+

Answer 1

1/2=1-1/2,

1/6=1/2-1/3,

1/12=1/3-1/4,

1/20=1/4-1/5.

1/2+1/6+1/12+1/20

=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5.

=1-1/5

=4/5

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