#)Giải :

Bài 1 :

\(A=\frac{1}{5}+\frac{1}{10}+\frac{1}{20}+...+\frac{1}{1280}\)

\(\Rightarrow A\times2=\frac{2}{5}-\left(\frac{1}{5}+\frac{1}{10}+\frac{1}{20}+...+\frac{1}{1280}\right)-\frac{1}{1280}\)

\(\Rightarrow A\times2=\frac{2}{5}-A-\frac{1}{1280}\)

\(\Rightarrow A\times2+A=\frac{2}{5}-\frac{1}{1280}\)

\(\Rightarrow A=\frac{2}{5}-\frac{1}{1280}\)

\(\Rightarrow A=\frac{511}{1280}\)

#)Giải :

Bài 2 :

\(B=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+...+\frac{1}{59049}\)

\(B=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{10}}\)

\(3B=1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^9}\)

\(3B-B=\left(1+\frac{1}{3}+\frac{1}{3^2}...+\frac{1}{3^9}\right)-\left(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{10}}\right)\)

\(2B=1-\frac{1}{3^{10}}\)

\(B=\frac{1-\frac{1}{3^{10}}}{2}\)

Bạn ơi bài 2 m ko hỉu

a)13,2 - x = -4,3

=> x = 13,2 - ( -4,3)

=> x = 17,5

b)x phần 3 = 20 phần 15 

\(\dfrac{x}{3}=\dfrac{20}{15}=>20.3=x.15=>60=x.15=>x=60:15=>x=4\)

c) 2 phần 3 - 1 phần 3 x = -5 phần 3 + 1 phần 2

Mong bạn viết lại đề giúp mình

d) x - 3 phần 5 = -7 phần 10

\(\dfrac{x-3}{5}=\dfrac{-7}{10}=>5.-7=\left(x-3\right).10=>-35=\left(x-3\right).10=>x-3=-35:10=>x-3=\text{-3,5}=>x=\text{-3,5}+3=>x=6,5\)

`a)`

`13,2-x=-4,3`

`x=13,2-(-4,3)`

`x=17,5`

Vậy `x=17,5`

__________________________

`b)`

\(\dfrac{x}{3}=\dfrac{20}{15}\)

`=>x` `xx15=20xx3`

`x` `xx15=60`

`x=60:15`

`x=4`

Vậy `x=4`

__________________________

`c)`

\(\dfrac{2}{3}-\dfrac{1}{3x}=\dfrac{-5}{3}+\dfrac{1}{2}\\ \dfrac{2}{3}-\dfrac{1}{3x}=-\dfrac{7}{6}\\ \dfrac{1}{3x}=\dfrac{2}{3}-\left(-\dfrac{7}{6}\right)\\ \dfrac{1}{3x}=\dfrac{11}{6}\\ \Rightarrow1\times6=11\times3\times x\\ 6=33\times x\\ x=5,5\)

Vậy `x=5,5`

__________________________

`d)`

\(\dfrac{x-3}{5}=\dfrac{-7}{10}\)

`=>(x-3)xx10=5xx(-7)`

`(x-3)xx10=-35`

`x-3=-35:10`

`x-3=-3,5`

`x=-6,5`

Vậy `x=-6,5`

`@An`

A∈{11; 12; 13;...; 14; 15}.

B∈ {10; 11; 12; 13; 14; 15;... 19; 20}.

D∈ {-4; -3; -2; -1; 0; 1;2; 3}.

F∈ {1;2;3;4;5;6;7;8;9}

a,A={11;12;13;14;15}

b,B={10;11;12;13;14;15;16;17;18;19;20}

c,D={-4;-3;-2;-1;0;1;2;3}

d,F={1;2;3;4;5;6;7;8;9}

a 25 phần 41

b 9

c 1 phần 12

d 12

e 14 phần 15

f 24 phần 7

a 25/41 

b 9

c 1/12

d 12

e 14/15

f24/7

\(\dfrac{\left(-2\right).2}{15.2}-\dfrac{3.3}{10.3}=\dfrac{-4}{30}-\dfrac{9}{30}=\dfrac{-13}{30}\)

\(=\dfrac{-2}{15}+\dfrac{3}{10}=\dfrac{-4}{30}+\dfrac{9}{30}=\dfrac{5}{30}=\dfrac{1}{6}\)

-2/15-(-3/10)=-2/15+3/10=-4/30+9/30=5/30=1/6

\(\frac{1}{5x}+\frac{4}{5x}=-10\Rightarrow\frac{1+4}{5x}=-10\)

\(\frac{5}{5x}=10\Rightarrow\frac{1}{x}=10\Rightarrow x=\frac{1}{10}\)

Thế này à :

\(\frac{1}{5}x+\frac{4}{5}x=-10\)

\(x\left(\frac{1}{5}+\frac{4}{5}\right)=-10\)

\(x.1=-10\)

\(=>x=-10:1=-10\)

Thế này à :

\(\frac{1}{5}x+\frac{4}{5}x=-10\)

\(x\left(\frac{1}{5}+\frac{4}{5}\right)=-10\)

\(x.1=-10\)

\(=>x=-10:1=-10\)

1/10+2/20+3/30+4/40+5/50+6/60+7/70+8/80+9/90

=1/10+1/10+1/10+1/10+1/10+1/10+1/10+1/10+1/10

=1/10 x 9 = 9/10

=7/70+7/70+7/70+7/70+7/70+7/70+7/70+7/70+7/70

=7/70*9/9

=63/630=1/10

bài 4:so sánh

5/2 lớn hơn 3/7

4/3 lớn hơn,3/2 lớn hơn 

bài 6:rút gọn các phân số sau:

3/9=1/3      9/12=3/4          8/18=4/9         60/36=10/6         17/34=1/2              17/51=1/3           35/100=7/20           25/100=1/4                  8/1000=1/125                 24/30=4/5           18/54=1/3           72/42=12/7

đay nhé mk chưa làm hết đc bn viết liền quá mk nhìn khó mà mk hỏi bài 7 là nhân hay cộng vậy?

4 phần 5 trừ 11 phần 5 =

1 + 1 = 2

2 + 2 = 4

3 + 3 = 6

4 + 4 = 8

5 + 5 = 10