1/2+(1/3+2/3)+(1/4+2/4+3/4)+(1/5+2/5+3/5+4/5)+……+(1/60+2/60+……+59/60)
=1/2x1+1/2x2+1/2x3+1/2x4+……+1/2x59
=1/2x(1+2+3+4+……+59)
=1/2x[(1+59)+(2+58)+(3+57)+.+(29+31)+30]
=1/2x[29x60+30]
=1/2x1770
=885
注:1/3+2/3=1=1/2x2
1/4+2/4+3/4=一又二分之一=1/2x3
1/5+2/5+3/5+4/5=2=1/2x4
.