计算:-1/30-1/42-1/56-1/72-1/90
问题描述:
计算:-1/30-1/42-1/56-1/72-1/90
重在过程!请求各位数学老师的帮助!
答
-1/30-1/42-1/56-1/72-1/90=-(1/30+1/42+1/56+1/72+1/90)=-[1/(5×6)+1/(6×7)+1/(7×8)+1/(8×9)+1/(9×10)]=-(1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)=-(1/5-1/10)=-1/10