计算(1+13+15+17+19+111+113)×819，它的整数部分是．

Question

计算 (1+(1)/(3) +(1)/(5) +(1)/(7) +(1)/(9) +(1)/(11) +(1)/(13) )×819 ，它的整数部分是______．

Answer 1

(1+(1)/(3) +(1)/(5) +(1)/(7) +(1)/(9) +(1)/(11) +(1)/(13) )×819
=1×819+ (1)/(3) ×819+ (1)/(7) × 819+ (1)/(9) × 819+ (1)/(13) × 819+ (1)/(5) ×819+ (1)/(11) ×819，
=819+273+117+91+63+ (819)/(5) + (819)/(11) ，
=（819+273+117+91+63+163+74）+ (4)/(5) +(5)/(11) ，
=1600+ (69)/(55) ，
=1601+ (14)/(55) ；
所以，它的整数部分是1601．
故答案为：1601．