Question

简便计算：1+1/2-5/6+7/12-9/20+11/30

Answer 1

1+1/2-5/6+7/12-9/20+11/30

=1+1/2-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)

=1+1/2-1/2-1/3+1/3+1/4-1/4-1/5+1/5+1/6

=1+1/6

=7/6