几道算术题(六年级)a.6/11*17-12*3/11b.(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*...*(1+1/9)*(1-1/9)c.1/27+505/2727+131313/272727+101010/272727d.已知:1/2-1/3=1/2*3,计算:1/2*3+1/3*4+1/4*5+1/5*6+...+1/19*20注:(/)代表分数线.如:505/2727=2727分子505,(*)代表乘法d题1/2-1/3=1/2*3,是2分之1-3分之1=2*3分之1的意思.
问题描述:
几道算术题(六年级)
a.6/11*17-12*3/11
b.(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*...*(1+1/9)*(1-1/9)
c.1/27+505/2727+131313/272727+101010/272727
d.已知:1/2-1/3=1/2*3,计算:1/2*3+1/3*4+1/4*5+1/5*6+...+1/19*20
注:(/)代表分数线.如:505/2727=2727分子505,(*)代表乘法
d题1/2-1/3=1/2*3,是2分之1-3分之1=2*3分之1的意思.
答
a.原式=(6*17-12*3)/11=(17-2*3)*6/11=11*6/11=6b.原式=3/2*1/2*4/3*2/3*...*10/9*8/9=(3/2*4/3*5/4*...*10/9)*(1/2*2/3*3/4*...*8/9)=(10/2)*(1/9)=5/9c.原式=1/27+(101*5)/(101*27)+(10101*13)/(10101*27)+(10101*...