x = 1/42

\(\frac{2}{3}x=\frac{5}{4}+\frac{1}{2}x\)

\(\Rightarrow\frac{2}{3}x-\frac{1}{2}x=\frac{5}{4}\)

\(\frac{1}{6}x=\frac{5}{4}\)

\(x=\frac{5}{4}:\frac{1}{6}\)

x = 15/2

2/3.x = 5/4 + 1/2 . x

2/3. x - 1/2 . x =5/4

(2/3-1/2).x=5/4

1/3.x=5/4

x=5/4:1/3

x=15/4

\(\frac{1}{2}\div\frac{3}{4}+\frac{1}{6}\div\frac{3}{4}\)

\(=\frac{3}{4}\div\left(\frac{1}{2}+\frac{1}{6}\right)\)

\(=\frac{3}{4}\div\frac{2}{3}\)

\(=\frac{9}{8}\)

\(\frac{1}{2}\div\frac{3}{4}-\frac{1}{6}\div\frac{3}{4}\)

\(=\left(\frac{1}{2}-\frac{1}{6}\right)\div\frac{3}{4}\)

\(=\frac{1}{3}\div\frac{3}{4}\)\

\(=\frac{4}{9}\)

1/2 : 3/4 + 1/6 : 3/4 = 1/2 x 4/3 + 1/6 x 4/3 = 4/3 x (1/2 + 1/6) = 4/3 x 2/3 = 8/9

1/2 : 3/4 - 1/6 : 3/4 = 1/2 x 4/3 - 1/6 x 4/3 = 4/3 x (1/2 - 1/6) = 4/3 x 1/3 = 4/9

1/2 : 3/4 + 1/6 : 3/4                                  1/2 : 3/4 - 1/6 : 3/4 

= ( 1/2 + 1/6 ) : 3/4                                 = ( 1/2 - 1/6 ) : 3/4

= 2/3 : 3/4                                             = 1/3 : 3/4

= 8/9                                                     = 4/9

Chúc bạn hok tốt!

đề sai đấy

( 2+ 5)*( 3- 1)+ 27/( 18- 5)- 6=7* 2+ 27/ 13- 6= 14+ 27/13- 6= 209/13- 6= 131/13.

b) | x2+|6x-2 | | = x2+4 sai

https://olm.vn/hoi-dap/question/402206.html

\(\frac{1}{3}\) + \(\frac{5}{6}\): \(\left(x-2\frac{1}{5}\right)\)= \(\frac{3}{4}\)

<=> \(\frac{5}{6}\):\(\left(x-2\frac{1}{5}\right)\)= \(\frac{3}{4}\)- \(\frac{1}{3}\)

<=> \(\frac{5}{6}\) : \(\left(x-2\frac{1}{5}\right)\) = \(\frac{5}{12}\)

<=> \(\left(x-2\frac{1}{5}\right)\) =    \(\frac{5}{6}\) : \(\frac{5}{12}\)

,<=> \(\left(x-2\frac{1}{5}\right)\)=   2 

<=. x = 2 + \(\frac{11}{5}\)

<=> x = \(\frac{21}{5}\)

< nha sai cho mik sorry nha 

mik hok lp<

\(\frac{1}{2x4}\)+  \(\frac{1}{4x6}\) +  \(\frac{1}{6x8}\) +  .......  +   \(\frac{1}{18x20}\)

=  \(\frac{1}{2}\) -   \(\frac{1}{4}\) +    \(\frac{1}{4}\)  -   \(\frac{1}{6}\) +  \(\frac{1}{6}\)  -   \(\frac{1}{8}\) +  .......  +  \(\frac{1}{18}\)  -   \(\frac{1}{20}\)

=     \(\frac{1}{2}\)  -   \(\frac{1}{20}\)

=         \(\frac{9}{20}\)

~ Hok T ~

sai rồi bạn ơi 

cảm ơn bạn nhiều nha

1/2+1/3+14

= 5/6 + 14

= 89/6

Chúc bạn học tốt nhé! ^-^

=5/6+14

=89/6

89/6 nha

Gọi biểu thức trên là \(A\). Ta có :

\(A=\frac{1}{4}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)

\(A=\frac{1}{4}+\frac{1}{2}-\frac{1}{6}\)

\(A=\frac{3}{4}-\frac{1}{6}\)

\(A=\frac{7}{12}.\)

                                                  Đáp số : \(\frac{7}{12}.\)

 1/2x1/2+1/2x1/3+1/3x1/4+1/4x1/5+1/5x1/6

=1/4+1/2x3+1/3x4+1/4x5+1/6x6

=1/4+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6

=1/4+1/2-1/6

=3/12+6/12-2/12

=7/12

35/60 rút là 7/10