2乘4分之1+4乘6分之1+6乘8分之1+……+18乘20分之1
=(1/2-1/4+1/4-1/6+1/6-1/8+……+1/18-1/20)÷2
=(1/2-1/20)÷2
=9/20÷2
=9/40
1/(2×4)+1/(4×6)+1/(6×8)+...+1/(18×20)
=(1/2)(1/2-1/4+1/4-1/6+1/6-1/8+...+1/18-1/20)
=(1/2)(1/2-1/20)
=9/40
1/2+2/3+3/4+9/10=30/60+40/60+45/60+54/60=169/60
9/40