Question

2/3+2/15+2/35+2/63+2/99=

Answer 1

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

= 2/1×3 + 2/3×5 + 2/5×7 + 2/7×9 + 2/9×11

= 1 - 1/3 + 1/3 - 1/5 + 1/5 - 1/7 + 1/7 - 1/9 + 1/9 - 1/11

= 1 - 1/11

= 10/11

Answer 2

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

=4/5+2/15+2/63+2/99

=14/15+2/63+2/99

=304/315+2/99

=1138/1155