Question

三分之二加十五分之二加三十五分之二加六十三分之二加九十九分之二加十一分之一等于多少 求详细解答过程

三分之二加十五分之二加三十五分之二加四十五分之二加六十三分之二加九十九分之二加一百四十三分之二

Answer 1

2/3+2/15+2/35+2/63+2/99+1/11

=(2/3+2/15)+(2/35+2/63)+(2/99+1/11)

=(10/15+2/15)+(2*9/315+2*5/315)+(2/99+9/99)

=12/15+28/315+11/99

=3/4+4/45+1/9

=3/4+(4/45+1/9)

=3/4+(4/45+5/45)

=3/4+9/45

=3/4+1/5

=3*5/4*5+1*4/5*4

=19/20

2/3+2/15+2/35+2/45+2/63+2/99+2/143

=(2/3+2/15)+(2/35+2/45+2/63)+(2/99+2/143)

=(10/15+2/15)+(2*9/315+2*7/315+2*5/315)+(2*13/1287+2*9/1287)

=12/15+42/315+44/1287

=12/15+2/15+4/117

=14/15+4/117

=14*117/15*117+4*15/117*15

=1698/1755

=566/585