巧算算式(6/1+1/7+1/8)*(1/7+1/8+1/9)-(1/6+1/7+1/8+1/9)*(1/7+1/8)假设:1/7+1/8=a,1/7+1/8+1/9=b,则:上式=(1/6+a)*b-(1/6+b)*a=

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/01 05:55:39
巧算算式(6/1+1/7+1/8)*(1/7+1/8+1/9)-(1/6+1/7+1/8+1/9)*(1/7+1/8)假设:1/7+1/8=a,1/7+1/8+1/9=b,则:上式=(1/6+a)*b-(1/6+b)*a=

巧算算式(6/1+1/7+1/8)*(1/7+1/8+1/9)-(1/6+1/7+1/8+1/9)*(1/7+1/8)假设:1/7+1/8=a,1/7+1/8+1/9=b,则:上式=(1/6+a)*b-(1/6+b)*a=
巧算算式
(6/1+1/7+1/8)*(1/7+1/8+1/9)-(1/6+1/7+1/8+1/9)*(1/7+1/8)
假设:1/7+1/8=a,1/7+1/8+1/9=b,
则:上式=(1/6+a)*b-(1/6+b)*a
=

巧算算式(6/1+1/7+1/8)*(1/7+1/8+1/9)-(1/6+1/7+1/8+1/9)*(1/7+1/8)假设:1/7+1/8=a,1/7+1/8+1/9=b,则:上式=(1/6+a)*b-(1/6+b)*a=
(6/1+1/7+1/8)*(1/7+1/8+1/9)-(1/6+1/7+1/8+1/9)*(1/7+1/8)
假设:1/7+1/8=a,1/7+1/8+1/9=b,
则:上式=(1/6+a)*b-(1/6+b)*a
=1/6*b+ab-1/6a-ab
=1/6(b-a)
=1/6*1/9
=1/54