2*5分之3+5*7分之2+7*11分之4+11*16分之5+16*22分之6+22*29分之7+29分之1=

3/(2*5)=1/2-1/52/(5*7)=1/5-1/74/(7*11)=1/7-1/115/(11*16)=1/11-1/166/(16*22)=1/16-1/227/(22*29)=1/22-1/29所以,原式=(1/2-1/5)+(1/5-1/7)+(1/7-1/11)+(1/11-1/16)+(1/16-1/22)+(1/22-1/29)+1/29=1/2