a: =1-1/2+1/2-1/3+...+1/100-1/101
=1-1/101=100/101
b: =1/3-1/7+1/7-1/11+...+1/107-1/111
=1/3-1/111
=108/333=12/37
c: =3(3/8*11+3/11*14+...+3/197*200)
=3(1/8-1/11+1/11-1/14+...+1/197-1/200)
=3*192/1600=9/25
d: =1/3-1/5+1/5-1/7+...+1/19-1/21
=1/3-1/21
=7/21-1/21=6/21=2/7