3 + \(\frac{3}{20}\)+   \(\frac{3}{13}\) + \(\frac{3}{2013}\)

X x                                                                =  \(\frac{5}{3}\)

            5 + \(\frac{5}{20}\) +  \(\frac{5}{13}\) + \(\frac{5}{2013}\)

          3 x ( 1 +  \(\frac{1}{20}\) + \(\frac{1}{13}\) + \(\frac{1}{2013}\) )

X  x                                                                        =  \(\frac{5}{3}\)

          5 x ( 1 + \(\frac{1}{20}\) +\(\frac{1}{13}\) +  \(\frac{1}{2013}\) ) 

X  x  \(\frac{3}{5}\) =   \(\frac{5}{3}\) => X =  \(\frac{25}{9}\) vậy X = \(\frac{25}{9}\)

Ta có  : \(X.\frac{3+\frac{3}{20}+\frac{3}{13}+\frac{3}{2013}}{5+\frac{5}{20}+\frac{5}{13}+\frac{5}{2013}}=\frac{5}{3}\)

\(\Leftrightarrow X.\frac{3\left(1+\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}{5\left(1+\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}=\frac{5}{3}\)

\(\Leftrightarrow X.\frac{3}{5}=\frac{5}{3}\Rightarrow X=\frac{5}{3}:\frac{3}{5}=\frac{5}{3}.\frac{5}{3}=\frac{25}{9}\)

tong bang bao nhiu vay

ko có kết quả thì làm sao mà tính được

Trl:

Mong bạn sửa lại đề vì đề không có tổng 

#z

\(x+\frac{3+\frac{3}{20}+\frac{3}{13}+\frac{3}{2013}}{5+\frac{5}{20}+\frac{5}{13}+\frac{5}{2013}}=\frac{9}{2}\)

\(x+\frac{3\times\left(1+\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}{5\times\left(1+\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}=\frac{9}{2}\)

\(x+\frac{3}{5}=\frac{9}{2}\)

\(x=\frac{39}{10}\)

\(x=3,9\)

nham lop roi

~3,9 nha bn

\(x\cdot\frac{3+\frac{3}{20}+\frac{3}{13}+\frac{3}{2013}}{5+\frac{5}{20}+\frac{5}{13}+\frac{5}{2013}}=\frac{5}{3}\)

\(x\cdot\frac{3\cdot\left(1+\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}{5\cdot\left(1+\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}=\frac{5}{3}\)

\(x\cdot\frac{3}{5}=\frac{5}{3}\)

\(x=\frac{5}{3}:\frac{3}{5}\)

\(x=\frac{25}{9}\)

\(x.\frac{3+\frac{3}{20}+\frac{3}{13}+\frac{3}{2013}}{5+\frac{5}{20}+\frac{5}{13}+\frac{5}{2013}}=\frac{5}{3}\)

\(x.\frac{3.\left(1+\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}{5.\left(1+\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}=\frac{5}{3}\)

\(x.\frac{3}{5}=\frac{5}{3}\)

\(x=\frac{5}{3}:\frac{3}{5}\)

\(x=\frac{25}{9}\)

bạn skt ntt làm đúng rồi đấy bạn ơi

\(x.\frac{\frac{3}{20}+\frac{3}{13}+\frac{3}{2013}}{\frac{5}{20}+\frac{5}{13}+\frac{5}{2013}}=\frac{5}{3}\)

\(\Rightarrow x.\frac{3\left(\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}{5\left(\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}=\frac{5}{3}\)

\(\Rightarrow x.\frac{3}{5}=\frac{5}{3}\)

\(\Rightarrow x=\frac{5}{3}:\frac{3}{5}=\frac{25}{9}\)

vậy \(x=\frac{25}{9}\)

Đây là đề thii vào ams lớp 6, mong mọi người giải giúp mình với,diễn giải ra nhá,cảm ơn

* là dấu nhân 

Mình cũng muốn vào Trường chuyên Ams

đề Amsterdam hả dễ zợ

\(\Leftrightarrow x\times\frac{3+3\times\left(\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}{5+5\times\left(\frac{1}{20}+\frac{1}{13}+\frac{1}{2013}\right)}=\frac{5}{3}\)

\(\Leftrightarrow x\times\frac{3+3}{5+5}=\frac{5}{3}\)

\(\Leftrightarrow x=\frac{5}{3}:\frac{3}{5}\)

\(\Leftrightarrow x=\frac{25}{9}\)

cho hỏi thằng nào ra cái bài này vậy ?

nhình cũng biết X=1

ấy chết lộn khúc gần cuối nhưng cách làm thì đúng đấy

a, 1 - 7x = 3x - 4

=> -7x - 3x = - 4 - 1

=> - 10x = - 5

=> x = 1/2

vậy_

b, đặt  \(A=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^{99}}\)

\(3A=1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^{98}}\)

\(3A-A=1-\frac{1}{3^{99}}\)

\(A=\frac{1-\frac{1}{3^{99}}}{2}\)

mk chỉ bt lm mấy phần hui à!

d)\(\frac{5}{17}+\frac{-4}{7}-\frac{20}{31}+\frac{12}{17}-\frac{11}{31}\)\(=\left(\frac{5}{17}+\frac{12}{17}\right)+\left(\frac{-20}{31}-\frac{11}{31}\right)+\frac{-4}{7}\)

\(=\frac{17}{17}+\frac{-31}{31}+\frac{-4}{7}\)\(=1+\left(-1\right)+\frac{-4}{7}\)\(=0+\frac{-4}{7}\)\(=-\frac{4}{7}\)

e)\(\frac{155-\frac{10}{7}-\frac{5}{11}+\frac{5}{23}}{403-\frac{20}{7}-\frac{13}{3}+\frac{13}{23}}\)

mk xl,mk ko bt lm các phần còn lại!

\(\left(-1\frac{1}{6}\right)\left(\frac{1-\frac{3}{5}+\frac{3}{11}-\frac{3}{13}}{\frac{1}{3}-\frac{1}{5}+\frac{1}{11}-\frac{1}{13}}\right)\left(\frac{4-\frac{4}{17}+\frac{4}{19}-\frac{4}{2013}}{5-\frac{5}{7}+\frac{5}{19}-\frac{5}{2013}}\right)\)

\(=-\frac{7}{6}.\left(\frac{3\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{11}-\frac{1}{13}\right)}{\frac{1}{3}-\frac{1}{5}+\frac{1}{11}-\frac{1}{13}}\right):\left(\frac{4.\left(1-\frac{1}{7}+\frac{1}{19}-\frac{1}{2013}\right)}{5.\left(1-\frac{1}{7}+\frac{1}{19}-\frac{1}{2013}\right)}\right)\)

\(=-\frac{7}{6}.3:\frac{4}{5}=-\frac{7}{2}.\frac{5}{4}=-\frac{35}{8}\)