Bài 1: 

a, \(\dfrac{-x-2}{3}\) = - \(\dfrac{6}{7}\)

      - \(x\) - 2 = - \(\dfrac{18}{7}\)

         \(x\)      = - 2 + \(\dfrac{18}{7}\)

         \(x\)      = - \(\dfrac{4}{7}\)

Bài b,  \(\dfrac{4}{7-x}\) = \(\dfrac{1}{3}\)

            12 = 7 - \(x\)

            \(x\)  = 7 - 12 

            \(x\)  = -5 

Bài 2

A = (6 - \(\dfrac{2}{3}\) + \(\dfrac{1}{2}\)) - (5 + \(\dfrac{5}{3}\) - \(\dfrac{3}{2}\)) - (3 - \(\dfrac{7}{3}\) + \(\dfrac{5}{2}\))

A = 6 - \(\dfrac{2}{3}\) + \(\dfrac{1}{2}\) - 5 - \(\dfrac{5}{3}\) + \(\dfrac{3}{2}\) - 3 + \(\dfrac{7}{3}\)  - \(\dfrac{5}{2}\)

A = (6 - 5 - 3) + ( \(\dfrac{1}{2}\) + \(\dfrac{3}{2}\) - \(\dfrac{5}{2}\)) - (\(\dfrac{2}{3}\) + \(\dfrac{5}{3}\) - \(\dfrac{7}{3}\))

A = -2 + (2 - \(\dfrac{5}{2}\)) - 0

A = -2 + 2 - \(\dfrac{5}{2}\)

A = - \(\dfrac{5}{2}\)

Cách 2:

\(A=\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{3}+\frac{5}{2}\right)\)

\(=\left(\frac{36}{6}-\frac{4}{6}+\frac{3}{6}\right)-\left(\frac{30}{6}+\frac{10}{6}-\frac{9}{6}\right)-\left(\frac{18}{6}-\frac{14}{6}+\frac{15}{6}\right)\)

\(=\frac{36}{6}-\frac{4}{6}+\frac{3}{6}-\frac{30}{6}-\frac{10}{6}+\frac{9}{6}-\frac{18}{6}+\frac{14}{6}-\frac{15}{6}\)

\(=\frac{36-4+3-30-10+9-18+14-15}{6}\)

\(=-\frac{15}{6}=-\frac{5}{2}\)

Cách 1: = ( 36/6 - 4/6 + 3/6 ) - ( 30/6 + 10/6 - 9/6 ) - ( 18/6 - 14/6 + 15/6 )

            = 35/6 - 31/6 - 19/6

            = -5/2

Cách 2: = 6 - 2/3 + 1/2 - 5 - 5/3 + 3/2 -3 + 7/3 - 5/2

           = ( 6 - 5 - 3 ) + ( -2/3 - 5/3 + 7/3 ) + ( 1/2 + 3/2 - 5/2 )

           = -2 + 0 + -1/2

          = -5/2

***** nhá, mất công làm đấy

C1:   

\(A=\left(\frac{36}{6}-\frac{4}{6}+\frac{3}{6}\right)-\left(\frac{150}{30}+\frac{50}{30}+\frac{45}{30}\right)-\left(\frac{18}{6}-\frac{14}{6}+\frac{15}{6}\right)\)

\(=\frac{35}{6}-\frac{155}{30}-\frac{19}{6}=\frac{35}{6}-\frac{19}{6}-\frac{155}{30}\)

\(=\frac{16}{6}-\frac{155}{30}=\frac{80}{30}-\frac{155}{30}=\frac{75}{30}=\frac{-5}{2}=-2\frac{1}{2}\)

C2:

\(A=6-\frac{2}{3}+\frac{1}{2}-5-\frac{5}{3}+\frac{3}{2}-3+\frac{7}{3}-\frac{5}{2}\)

\(=\left(6-5-3\right)-\left(\frac{2}{3}+\frac{5}{3}-\frac{7}{3}\right)+\left(\frac{1}{2}+\frac{3}{2}-\frac{5}{2}\right)\)

\(=-2-0+\frac{-1}{2}\)

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

Thực hiện phép tính sau:

\(B=\frac{5}{9}.2,\left(37\right)+0,\left(5\right).3,\left(62\right)-2\sqrt{\left(\frac{-2}{3}\right)^2}\)

Tại sao lại là 5 - 3 chứ ko phải 5 + 3 vậy pn

cách 1: A= 35/6 -31/6 -19/6 = -15/6 =-5/2

CÁCH 2: A= 6 -2/3 +1/2 -5 -5/3+ 3/2 -3+7/3 -5/2 

=( 6 - 5 - 3) + (-2/3 - 5/3 +7/3) + (1/2 +3/2 - 5/2)

= - 2 + 0 +  -1/2 = - 5/2

Cách 1: Tính giá trị từng biểu thức trong ngoặc

 A= 

Cách 2: Bỏ dấu ngoặc rồi nhóm các số hạng thích hợp

A =  

   = (6-5-3) -

   = -2 -0 -  = - (2 + ) = -2     

C₁: dễ nên tự làm nhé

C₂: \(A=\left(6-\frac{2}{3}+\frac{1}{2}\right)-\left(5+\frac{5}{3}-\frac{3}{2}\right)-\left(3-\frac{7}{2}+\frac{5}{2}\right)\)

\(=6-\frac{2}{3}+\frac{1}{2}-5-\frac{5}{3}+\frac{3}{2}-3+\frac{7}{3}-\frac{5}{2}\)

\(=6-5-3+\left(\frac{1}{2}+\frac{3}{2}-\frac{5}{2}\right)-\left(\frac{2}{3}+\frac{5}{3}-\frac{7}{3}\right)\)

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

cách 1: A= 35/6-31/6-19/6= -15/6 = -5/2

cách 2: bỏ ngoặc

A= 6 -2/3 +1/2 - 5 - 5/3 +3/2 -3 +7/3 -5/2=

A= (6-5-3) +(1/2+3/2 -5/2) +(-2/3 -5/3 +7/3)=

A= -2+ (-1/2) + 0= -5/2

Cách 1: Tính giá trị từng biểu thức trong ngoặc

A=

Cách 2: Bỏ dấu ngoặc rồi nhóm các số hạng thích hợp

A =

= (6-5-3) -

= -2 -0 - = - (2 + ) = -2

Lời giải:

Cách 1: Tính giá trị từng biểu thức trong ngoặc

A=

Cách 2: Bỏ dấu ngoặc rồi nhóm các số hạng thích hợp

A =

= (6-5-3) -

= -2 -0 - = - (2 + ) = -2

cách 1:

A = \(\left(6-\dfrac{2}{3}+\dfrac{1}{2}\right)-\left(5+\dfrac{5}{3}-\dfrac{3}{2}\right)-\left(3-\dfrac{7}{3}+\dfrac{5}{2}\right)\)

= \(\left(\dfrac{6}{1}-\dfrac{2}{3}+\dfrac{1}{2}\right)-\left(\dfrac{5}{1}+\dfrac{5}{3}-\dfrac{3}{2}\right)-\left(\dfrac{3}{1}-\dfrac{7}{3}+\dfrac{5}{2}\right)\)

= \(\left(\dfrac{18}{3}-\dfrac{2}{3}+\dfrac{1}{2}\right)-\left(\dfrac{15}{3}+\dfrac{5}{3}-\dfrac{3}{2}\right)-\left(\dfrac{9}{3}-\dfrac{7}{3}+\dfrac{5}{2}\right)\)

= \(\left(\dfrac{16}{3}+\dfrac{1}{2}\right)-\left(\dfrac{20}{3}-\dfrac{3}{2}\right)-\left(\dfrac{2}{3}+\dfrac{5}{2}\right)\)

= \(\left(\dfrac{32}{6}+\dfrac{3}{6}\right)-\left(\dfrac{40}{6}-\dfrac{9}{6}\right)-\left(\dfrac{4}{6}+\dfrac{15}{6}\right)\)

= \(\dfrac{35}{6}-\dfrac{31}{6}-\dfrac{19}{6}\)

= \(-\dfrac{15}{6}=-\dfrac{5}{2}\)

cách 2:

A = \(\left(6-\dfrac{2}{3}+\dfrac{1}{2}\right)-\left(5+\dfrac{5}{3}-\dfrac{3}{2}\right)-\left(3-\dfrac{7}{3}+\dfrac{5}{2}\right)\)

= \(\left(6-5-3\right)-\left(\dfrac{2}{3}+\dfrac{5}{3}-\dfrac{7}{3}\right)-\left(\dfrac{1}{2}+\dfrac{3}{2}-\dfrac{5}{2}\right)\)

= \(\left(-2\right)-0+\dfrac{1}{2}\)

= \(-\dfrac{5}{2}\)