2/3×5=1/3-1/5
原式=1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11
=1/3-1/11
=(11-3)/(3×11)
=8/33
也许是题目就是如此
原式=(2/15+1/6)+(1/7-1/9+1/9-1/11)
=27/90+(1/7-1/11)
=3/10+4/77
=(3*77+4*10)/770
=271/770
解:原式=2/15+2/12+1/7-1/9+1/9-1/11
=2/15+1/6+1/7-1/11
=3/10+1/7-1/11
=31/70-1/11
=271/770
解:原式=2/3(1/5+1/4)+2/9(1/7+1/11)
=2/3(9/20)+2/9(18/77)
=3/10+4/77
=271/770
应该是题目印错了,我估计题目是这样的。
计算:2/(3×5)+2/(5×7)+2/(7×9)+2/(9×11)。若是这样,则方法如下:
原式=(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)=1/3-1/11=8/33。
2/(5+7)改为2/*5*7)
原式=2*(1/3-1/5)+(1/5-1/7)+(1/7-1/9)+(1/9-1/11)
=2*8/33
=16/33