\(a,0,5x-\frac{2}{3}x=\frac{7}{12}\Rightarrow\frac{1}{2}x-\frac{2}{3}x=\frac{7}{12}\)

\(\Rightarrow x\left(\frac{1}{2}-\frac{2}{3}\right)=\frac{7}{12}\Rightarrow x\cdot\left(\frac{3}{6}-\frac{4}{6}\right)=\frac{7}{12}\)

\(\Rightarrow x\cdot\left(-1\right)=\frac{7}{12}\Rightarrow x=\frac{7}{12}:\left(-1\right)=\frac{7}{-12}\)

\(c,\frac{\left(x-5\right)}{12}\cdot\frac{9}{29}=\frac{-6}{29}\Rightarrow\frac{\left(x-5\right)}{12}=\frac{-6}{29}:\frac{9}{26}\)

\(\frac{\Rightarrow\left(x-5\right)}{12}=\frac{-6}{9}=\frac{-2}{3}\Rightarrow x-5=-\frac{2}{3}\cdot12\)

\(\Rightarrow x-5=\frac{-24}{3}=-8\Rightarrow x=-8+5=-3\)

\(a,0,5x-\frac{2}{3}x=\frac{7}{12}\)

\(\Rightarrow\frac{1}{2}x-\frac{2}{3}x=\frac{7}{12}\)

\(\Rightarrow-\frac{1}{6}x=\frac{7}{12}\)

\(\Rightarrow x=-\frac{7}{2}\)

\(c,\frac{x-5}{12}\cdot\frac{9}{29}=-\frac{6}{29}\)

\(\Rightarrow\frac{x-5}{12}=-\frac{2}{3}\)

\(\Rightarrow x-5=12.\left(-\frac{2}{3}\right)\)

\(\Rightarrow x-5=-8\)

\(\Rightarrow x=-3\)

b)\(\frac{-8}{17}+\frac{5}{17}< \frac{x}{17}< \frac{-6}{17}+\frac{9}{17}\)\(\left(x\in Z\right)\)

\(\Rightarrow\frac{-3}{17}< \frac{x}{17}< \frac{3}{17}\)

\(\Rightarrow-3< x< 3\)

\(\Rightarrow x\in\left\{-2;-1;0;1;2\right\}\)

Vậy \(x\in\left\{-2;-1;0;1;2\right\}\)

13 – 6 + 8 = 7 + 8 = 15

7 + 5 – 9 = 12 – 9 = 3

17 – 8 + 6 = 9 + 6 = 15

7 + 9 – 12 = 16 – 12 = 4

14 + 6 – 17 = 20 – 17 = 3

51 + 18 – 40 = 69 – 40 = 29

43 + 7 – 21 = 50 – 21 = 29

6 + 4 – 8 = 10 – 8 = 2

12 – 3 + 8  = 9 + 8 = 17

2/3+4/5=10/15+12/15=22/15

4/6+8/12=8/12+8/12=16/12=4/3

99/17+100/17=199/17

67/12-7/6=67/12-14/12=53/12

65/18-8/6=65/18-24/18=41/18

\(\frac{2}{3}+\frac{4}{5}=\frac{22}{15}\)

\(\frac{4}{6}+\frac{8}{12}=\frac{4}{3}\)

\(\frac{99}{17}+\frac{100}{17}=\frac{199}{17}\)

\(\frac{67}{12}-\frac{7}{6}=\frac{53}{12}\)

A  =\(\frac{2}{5}\times\frac{4}{7}+\frac{3}{5}\times\frac{4}{7}\)  B = \(\frac{17}{13}\times\frac{12}{17}-\frac{4}{13}\times\frac{12}{17}\)   C = \(\frac{9}{14}:\frac{6}{7}+\frac{5}{14}:\frac{6}{7}\)  D =\(\frac{9}{12}:\frac{7}{9}\times\frac{12}{19}\)

=  \(\frac{4}{7}\times\left(\frac{2}{5}+\frac{3}{5}\right)\)              =\(\left(\frac{17}{13}-\frac{4}{13}\right)\times\frac{12}{17}\)                = \((\frac{9}{14}+\frac{5}{14}):\frac{6}{7}\)         = \(\frac{9}{12}\times\frac{9}{7}\times\frac{12}{19}\)

=\(\frac{4}{7}\times1\)                                     = \(1\times\frac{12}{17}\)                                       = \(1:\frac{6}{7}\)                               = \(\frac{9\times9\times12}{12\times7\times19}\)

=\(\frac{4}{7}\)                                              =  \(\frac{12}{17}\)                                                =\(\frac{7}{6}\)                                    = \(\frac{9\times9}{7\times19}=\frac{81}{133}\)

   -  

12/17:6=2/17

16:8/11=22

9:3/4x4/15=12x4/15=16/5=3,2

a. 250 - 15( 6 + 5 )

=  250 - 15.11

=  250 - 165

=  85

b. ( 75 + 27 ) + ( 451 - 75 - 27 )

=  75 + 27 + 451 - 75 - 27

=  ( 75 - 75 ) + ( 27 - 27 ) + 451

=  0 + 0 + 451

=  451

c. 35( 17 - 6 ) - 17( 35 - 6 )

=  35.11 - 17.29

=  385 - 493

=  -108

d. 38( 17 - 12 ) - 17( 38 - 12 )

=  38.5 - 17.26

=  190 - 442

=  - 252

250-15.(6+5)=250-15.6+15.5=250-80+75=170+75=245

(75+27)+(451-75-27)=75+27+451-75-27=(75-75)+(27-27)+451=0+0+451=451

35.(17-6)-17.(35-6)=35.17-35.6-17.35-17.6=35.6-17.6=6.(35-17) anh tự tính kết quả nhé

D=cách làm như trên 

a. 250 - 15 . ( 6+5 ) = 250 - 15 .6 + 15 . 5 

                             = 250 - 80 + 75

                             = 170 +75 = 245

\(\dfrac{12}{17}.\dfrac{9}{13}-\dfrac{7}{15}.\dfrac{6}{13}+\dfrac{5}{17}.\dfrac{9}{13}-\dfrac{8}{15}.\dfrac{6}{13}\)

\(=\dfrac{9}{13}.\left(\dfrac{12}{17}+\dfrac{5}{17}\right)-\dfrac{6}{13}.\left(\dfrac{7}{15}+\dfrac{8}{15}\right)\)

\(=\dfrac{9}{13}.\dfrac{17}{17}-\dfrac{6}{13}.\dfrac{15}{15}\)

\(=\dfrac{9}{13}.1-\dfrac{6}{13}.1\)

\(=\dfrac{9}{13}-\dfrac{6}{13}\)

\(=\dfrac{9-6}{13}\)

\(=\dfrac{3}{13}\)

a: -11/12=-33/36

17/18=34/36

b: -9/15=-3/5=-12/20

17/-20=-17/20

a: -11/12=-33/36

17/18=34/36

b: -9/15=-3/5=-12/20

17/-20=-17/20