1/3+2/15+2/35+1/63+7/99
=1/3+1/63+7/99+2/15+2/35
=1/3+1/63+7/99+1/3-1/5+1/5-1/7
=1/3+1/63+7/99+1/3-1/7
=2/3+1/63+7/99-1/7
=2/3-1/7+1/63+7/99
=14/21-3/21+1/63+7/99
=11/21+1/63+7/99
=33/63+1/63+7/99
=34/63+7/99
=1/9*(34/7+7/11)
=1/9*(34*11/7+7*7/7*11)
=1/9*(374/77+49/77)
=1/9*423/77
=423/693
=47/77