6666 +8888=

6666 + 8888 = 15554

Chúc các bạn học tốt

a) \(\frac{7}{x}+\frac{4}{5.9}+\frac{4}{9.13}+...+\frac{4}{41.45}=\frac{29}{45}\)

\(\Rightarrow\frac{7}{x}+\left(\frac{4}{5.9}+\frac{4}{9.13}+...+\frac{4}{41.45}\right)=\frac{29}{45}\)

\(\Rightarrow\frac{7}{x}+\left(\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+...+\frac{1}{41}-\frac{1}{45}\right)=\frac{29}{45}\)

\(\Rightarrow\frac{7}{x}+\left(\frac{1}{5}-\frac{1}{45}\right)=\frac{29}{45}\)

\(\Rightarrow\frac{7}{x}+\frac{8}{45}=\frac{29}{45}\)

\(\Rightarrow\frac{7}{x}=\frac{29}{45}-\frac{8}{45}\)

\(\Rightarrow\frac{7}{x}=\frac{7}{15}\)

\(\Rightarrow x=15\)

Vậy x = 15

b) \(\frac{x}{2008}-\left(\frac{1}{10}+\frac{1}{15}+\frac{1}{21}+...+\frac{1}{120}\right)=\frac{5}{8}\)

\(\Rightarrow\frac{x}{2008}-\left(\frac{2}{20}+\frac{2}{30}+\frac{2}{42}+...+\frac{2}{240}\right)=\frac{5}{8}\)

\(\Rightarrow\frac{x}{2008}-\left(\frac{2}{4.5}+\frac{2}{5.6}+\frac{2}{6.7}+...+\frac{2}{15.16}\right)=\frac{5}{8}\)

\(\Rightarrow\frac{x}{2008}-2\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{15}-\frac{1}{16}\right)=\frac{5}{8}\)

\(\Rightarrow\frac{x}{2008}-2\left(\frac{1}{4}-\frac{1}{16}\right)=\frac{5}{8}\)

\(\Rightarrow\frac{x}{2008}-2.\frac{3}{16}=\frac{5}{8}\)

\(\Rightarrow\frac{x}{2008}-\frac{3}{8}=\frac{5}{8}\)

\(\Rightarrow\frac{x}{2008}=\frac{5}{8}+\frac{3}{8}\)

\(\Rightarrow\frac{x}{2008}=1\)

\(\Rightarrow x=2008\)

Vậy x = 2008

_Chúc bạn học tốt_

A=4/3(13/9-40/9)

A=4/3x-3

A=-4

25% của A là:-1

\(A=\frac{4}{3}.\frac{13}{9}-\frac{4}{3}.\frac{40}{9}\)

\(\Rightarrow A=\frac{4}{3}.\left(\frac{13}{9}-\frac{40}{9}\right)\)

\(\Rightarrow A=\frac{4}{3}.\frac{-27}{9}\)

\(\Rightarrow A=\frac{4}{3}.\left(-3\right)\)

\(\Rightarrow A=-4\)

25% của A là : 

\(-4:4=-1\)

Vậy 25% của A là -1 

Chúc bạn học tốt !!! 

Ta có 1/3x4= 1/3- 1/4

          2/4x6= 1/4-1/6

..............................

   5/13x18= 1/13 - 1/18

=> 1/3 -1/4 + 1/4 -1/6 +......+ 1/13 -1/18

  = 1/3 - 1/18

= 5/18

=1/3-1/4+1/4-1/6+1/6-1/9+...+1/13-1/18

=1/3-1/18

=5/18

k nha

=1/3-1/4+1/4-1/6+1/6-1/9+...+1/13-1/18

=1/3-1/18

=5/18

*** tk mk tk lk***

5644/45

4/5x9 + 4/9x13 + 4/13x17 + 4/ 17x21 + 4/ 21x25=27.911628241

Ta có:

\(\frac{4}{5\times9}+\frac{4}{9\times13}+\frac{4}{13\times17}+\frac{4}{17\times21}+\frac{4}{21\times25}\)

= \(\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+\frac{1}{13}-\frac{1}{17}+\frac{1}{17}-\frac{1}{21}+\frac{1}{21}-\frac{1}{25}\)

= \(\frac{1}{5}-\left(\frac{1}{9}+\frac{1}{9}\right)-\left(\frac{1}{13}-\frac{1}{13}\right)-\left(\frac{1}{17}-\frac{1}{17}\right)-\left(\frac{1}{21}-\frac{1}{21}\right)-\frac{1}{25}\)

= \(\frac{1}{5}-\frac{1}{25}\)

= \(\frac{5}{25}-\frac{1}{25}=\frac{4}{25}\)

#)Giải :

Đặt \(A=\frac{4}{5.9}+\frac{4}{9.13}+\frac{4}{13.17}+\frac{1}{17.21}+\frac{4}{21.25}\)

\(A=\frac{1}{5}-\frac{1}{9}+\frac{1}{9}-\frac{1}{13}+\frac{1}{13}-\frac{1}{17}+\frac{1}{17}-\frac{1}{21}+\frac{1}{21}-\frac{1}{25}\)

\(A=\frac{1}{5}-\frac{1}{25}\)

\(A=\frac{4}{25}\)

tới chỉ ghi đáp án thôi nhé

x=15