1-1/6+7/12-9/20+11/30-13/42+15/56-17/72+19/90

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/01 07:41:16
1-1/6+7/12-9/20+11/30-13/42+15/56-17/72+19/90

1-1/6+7/12-9/20+11/30-13/42+15/56-17/72+19/90
1-1/6+7/12-9/20+11/30-13/42+15/56-17/72+19/90

1-1/6+7/12-9/20+11/30-13/42+15/56-17/72+19/90
原式=1-(3-2)/(3*2)+(4+3)/(4*3)-(5+4)/(5*4)+(6+5)/(6*5)-(6+7)/(6*7)+(7+8)/(7*8)-(8+9)/(8*9)+(9+10)/(9*10)
=1-(1/2-1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)-(1/8+1/9)+(1/9+1/10)
=1-1/2+1/3+1/3+1/10
=7/6+1/10
=19/15