Question

1/2+1/3+2/3+1/4+2/4+3/4+……+1/60……59/60=

Answer 1

1/2+1/3+2/3+1/4+2/4+3/4+……+1/60……59/60= =1/2+(1+2)/3+(1+2+3)/4+...+[(1+59)*59/2]/60 =1/2+2/2+3/2+...+59/2 =(1+2+3+...+59)/2 =[(1+59)*59/2]/2 =15*59 =885