1/20 + 1/30 + 1/42 + 1/56 +...+ 1/990 = 1/4.5 +1/5.6 +1/6.7 + 1/7.8 +...+ 1/99.100 =1/4 - 1/5 + 1/5 -1/6 + 1/6 -1/7 + 1/7 - 1/8 + ...+1/99 -1/100 =1/4-1/100 = 24/100=6/25
=1/4.5+1/5.6+1/6.8+1/7.8+....1/33.30
=1/4-1/5+1/5-1/6+1/6-1/8+1/7-1/8+...+1/30-1/33
=1/4-1/33
=29/132