4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255=

1+1/3+1+1/15+1+1/35+1+1/63+1+1/99+1+1/143+1+1/195+1+1/255
=8+(1/2)(1-1/3+1/3-1/5+...+1/15-1/17)
=8+(1/2)(1-1/17)
=8又8/17

4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255

=(1+1/1*3)+(1+1/3*5)+(1+1/5*7)+...+(1+1/15*17)

=(15+1)/2*1+1/2(1-1/3+1/3-1/5+...+1/15-1/17)

=8+1/2*(1-1/17)

=8+8/17

=8*18/17

=144/17

144/17.

8又17分之8，保证正确

8又17分之8