29/(1*2)+29/(2*3)+29/(3*4)+.29/(28*29)
=29[1/(1*2)+1/(2*3)+1/(3*4).+1/(28*29)]
=29[1/1-1/2+1/2-1/3+1/3-1/4+.+1/28-1/29]
=29[1-1/29]
=29[(29-1)/29]
=28
1乘2分之29+2乘3分之29+……+28乘29分之29 等于28.