1/2+5/6+11/12+19/20+29/30要简便运算,

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1/2+5/6+11/12+19/20+29/30要简便运算,
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1/2+5/6+11/12+19/20+29/30要简便运算,
1/2+5/6+11/12+19/20+29/30要简便运算,

1/2+5/6+11/12+19/20+29/30要简便运算,
1/2+5/6+11/12+19/20+29/30
=1-1/2+1-1/6+1-1/12+1-1/20+1-1/30
=5-﹙1/2+1/6+1/12+1/20+1/30﹚
=5-﹙1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6﹚
=5-5/6
=4又1/6.

原式=1-1/2+1-1/6+1-1/12+1-1/20+1-1/30
=5-(1/2+1/6+1/12+1/20+1/30)
=5-(1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6)
=5-(1-1/6)
=4+1/6
=25/6