8分之1+15分之1+24分之1+……+143分之1要有过程
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8分之1+15分之1+24分之1+……+143分之1要有过程
8分之1+15分之1+24分之1+……+143分之1
要有过程
8分之1+15分之1+24分之1+……+143分之1要有过程
8分之1+15分之1+24分之1+……+143分之1
=(1/2-1/4+1/3-1/5+1/4-1/6+1/5-1/7+……+1/10-1/12+1/11-1/13)÷2
=(1/2-1/12+1/3-1/13)÷2
=(5/12+10/39)÷2
=35/52÷2
=35/104
1/8+1/15+1/24+……+1/143
=1/2*4+1/3*5+1/4*6+……+1/11*13
=1/2[(1/2-1/4)+(1/3-1/5)+(1/4-1/6)+(1/5-1/7)+……+(1/11-1/13)
=1/2(1/2+1/3 -1/12-1/13)
=35/104
原式=1/(2*4)+1/(3*5)+1/(4*6)+...+1/(11*13)
=0.5*(1/2-1/4+1/3-1/5+1/4-1/6+...+1/11-1/13)
=0.5*(1/2+1/3+1/4-1/4+1/5-1/5+1/6-1/6+...+1/9-1/11+1/10-1/12+1/11-1/13)
=0.5*(1/2+1/3-1/12-1/13)
=35/104
1/8+1/15+1/24+……+1/143
=1/(2*4)+1/(3*5)+1/(4*6)+1/(11*13)
=1/2*(1/2-1/4+1/3-1/5+1/4-1/6+……+1/11-1/13)
=1/2*(1/2+1/3--1/12-1/13)
=(1/2)×(35/52)
=35/104