(1/4*1/7+1/7*1/10+1/10*1/13+1/13*1/16)*3用简便方法怎么做?

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(1/4*1/7+1/7*1/10+1/10*1/13+1/13*1/16)*3用简便方法怎么做?
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(1/4*1/7+1/7*1/10+1/10*1/13+1/13*1/16)*3用简便方法怎么做?
(1/4*1/7+1/7*1/10+1/10*1/13+1/13*1/16)*3用简便方法怎么做?

(1/4*1/7+1/7*1/10+1/10*1/13+1/13*1/16)*3用简便方法怎么做?
(1/4*1/7+1/7*1/10+1/10*1/13+1/13*1/16)*3
=[1/3*(1/4-1/7)+1/3*(1/7-1/10)+1/3*(1/10-1/13)+1/3*(1/13-1/16)]*3
=(1/4-1/7)+(1/7-1/10)+(1/10-1/13)+(1/13-1/16)
=1/4-1/16
=4/16-1/16
=3/16