计算题2/7-(2/7-1/8)
6个回答

计算题

2/7-(2/7-1/8)

解,得:

==2/7-2/7+1/8

==1/8

4/15+7/9-4/15+2/9

解,得:

==7/9+2/9

==1

111×666×778×333

解,得:

==111*333*2*333*778

==222*778*333^2

==172716*110889

==19152304524

1+1/2+2/2+1/3+2/3+1/3+.+1/10+2/10+.+9/10+10/10+9/10+.+1/10

解,得:

一般地

1/n+2/n+3/n+...+n/n+(n-1)/n+(n-2)/n+...+1/n

=[1+2+3+...+(n-1)+n+(n-1)+(n-2)+...+2+1]/n

=[n+2(1+n-1)*(n-1)/2]/n

=n.

问题1+1/2+2/2+1/2+1/3+2/3+3/3+2/3+1/3+...+1/10+2/10+...+9/10+10/10+9/10+...+2/10=?

应该是1+1/2+2/2+1/2+1/3+2/3+3/3+2/3+1/3+...+1/10+2/10+...+9/10+10/10+9/10+...+2/10+1/10吧!

1+1/2+2/2+1/2+1/3+2/3+3/3+2/3+1/3+...+1/10+2/10+...+9/10+10/10+9/10+...+2/10+1/10

=1+2+3+...+10

=(1+10)*10/2

=55.

2.解,得:

甲+乙+甲==200 (1)

甲+乙+乙==250 (2)

由(1)+(2)得

3甲+3乙==450

甲+乙==150

所以甲乙两数的和是150.

五,列式计算

1,解,设一数是X,一数是Y,得:

X-Y==9

X/Y==9

解方程组得:

X==8

Y==9/8

所以

两数的和是:8+9/8==9又1/8

3.A 4.B 5.C

4.列式计算:

(1)解,得:

3/6+(2/3-2/9)

==3/6+2/3-2/9

==7/6-2/9

==21/18-4/18

==17/18

(2)解,得:

3/4+(1/2-1/5)

==3/4+1/2-1/5

==5/4-1/5

==25/20-4/20

==1又1/20

3.解方程:

x+3/7+1/2==1

解,得:

x==1-13/14

x==1/14

3/4+1/12-x==2/3

解,得:

x==5/6-2/3

x==1/6

7x-3/7==4/7

解,得:

x==1/7

2x+5.2==10-3.8

x==1/2

列式计算:

(1)3/6+(2/3-2/9)

解,得:

==1/2+4/9

==17/18

(2)解,得:

160/(4.5+3.5)==160/8==20

所以这个数是20