11/2*3+11/3*4+11/4*5+11/5*6+11/6*7简便运算

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 22:35:56
11/2*3+11/3*4+11/4*5+11/5*6+11/6*7简便运算

11/2*3+11/3*4+11/4*5+11/5*6+11/6*7简便运算
11/2*3+11/3*4+11/4*5+11/5*6+11/6*7简便运算

11/2*3+11/3*4+11/4*5+11/5*6+11/6*7简便运算
11/3*3+11/4*4+11/5*5+11/6*6+11/2*7

=11[1/(2*3)+1/(3*4)+1/(5*6)+1/(6*7)] =11[(1/2)-(1/3)+(1/3)-(1/4)+(1/5)-(1/6)+(1/6)-(1/7)] =11[(1/2)-(1/7)] =55/14