Ta có:

=\(\dfrac{6x45x11x17}{15x12x34x33}\)

= \(\dfrac{6x15x3x11x17}{15x6x2x17x2x11x3}\)

= \(\dfrac{1}{2x2}\)

=\(\dfrac{1}{4}\)

Những chữ x ở trên là dấu nhân nhé

11/17 : 33/34 = 11/17 x 34/33

                      = 11 x 17 x 2 / 17 x 11 x 3

                      = 2/3

mk có thể làm bài này theo cách rút gọn bạn nhé !

\(\frac{11}{17}:\frac{33}{34}=\frac{11}{17}\cdot\frac{34}{33}=\frac{2}{3}\)

. = x

\(\frac{11}{17}:\frac{33}{34}=\frac{11}{17}.\frac{34}{33}=\frac{11.34}{17.33}=\frac{1.2}{1.3}=\frac{2}{3}\)

Chúc bạn học tốt !!! 

\(\left[\left(\frac{2}{193}-\frac{3}{386}\right).\frac{193}{17}+\frac{33}{34}\right]:\left[\left(\frac{7}{2001}+\frac{11}{4002}\right).\frac{2001}{25}+\frac{9}{2}\right]\)

\(=\left[\left(\frac{4}{368}-\frac{3}{368}\right).\frac{193}{17}+\frac{33}{34}\right]:\left[\left(\frac{14}{4002}+\frac{11}{4002}\right).\frac{2001}{25}+\frac{9}{2}\right]\)

\(=\left(\frac{1}{368}.\frac{193}{17}+\frac{33}{34}\right):\left(\frac{25}{4002}.\frac{2001}{25}+\frac{9}{2}\right)\)

\(=\left(\frac{1}{34}+\frac{33}{34}\right):\left(\frac{1}{2}+\frac{9}{2}\right)\)

\(=1:5=\frac{1}{5}\)

Chs ff ko Kkk 

\(\dfrac{7}{9}\cdot\dfrac{3}{35}=\dfrac{7}{3\cdot3}\cdot\dfrac{3}{7\cdot5}=\dfrac{1}{15}\)

\(\dfrac{9}{22}\cdot55=\dfrac{9}{11\cdot2}\cdot11\cdot5=\dfrac{45}{2}\)

\(\dfrac{11}{17}:\dfrac{33}{34}=\dfrac{11}{17}\cdot\dfrac{34}{33}=\dfrac{11\cdot17\cdot2}{17\cdot11\cdot3}=\dfrac{2}{3}\)

7/9 x 3/35 = 1/15

9/22 x 55 = 45/2

11/17 : 33/34 = 2/3

1/15     ;      45/2       ;      2/3

b. \(\dfrac{4.2.3.5.2.6.2.5.3}{4.3.4.5.6.4.5.6}=\dfrac{1}{4}\)

c. \(\dfrac{17.2.101.2005}{17.2.101.2.2005}=\dfrac{1}{2}\)

d. \(\dfrac{2.3.4.2.11.13.17}{3.11.4.4.17.13.2}=\dfrac{1}{2}\)

a)\(\dfrac{4\times6\times10\times12\times15}{4\times12\times5\times24\times30}=\dfrac{2}{2\times2\times2}=\dfrac{2}{8}=\dfrac{1}{4}\)

b)\(\dfrac{34\times101\times2005}{17\times202\times4010}=\dfrac{2}{2\times2}=\dfrac{2}{4}=\dfrac{1}{2}\)

c)\(\dfrac{6\times8\times11\times13\times17}{33\times16\times17\times26}=\dfrac{6}{3\times2\times2}=\dfrac{1}{2}\)

Câu a:

Ta thấy 37 - 37 = 0

nên nhóm lại kết quả là 14 + 26 = 40

Câu b:

tương tự, kết quả là 6 + 10 = 16

Các câu còn lại như vậy

( -37)+14 +26 +37

=( -37 )+ 37 + (14 + 26 )

=0 +40 = 40 

- 24 + 6  +10 +24 

=( -24 ) + 24 +(  6 + 10 ) 

=0 + 16 = 16

15 + 23 + (-25 ) + ( -23 )

= 15 + ( -25 ) + 23 +( -23 )

= -10 + 0 

= - 10

60 + 33 + ( -50 ) + ( 33 )

= 60 + (- 50 ) + 33 + ( -33)

= 10 + 0 = 10

( -16) +(-209)  + ( -14 ) + 2009 

= ( -16 ) + ( -14 ) + ( -209 ) + 209 

= -30 + 0 

= -30

( -12 ) + ( -13 ) + 36 + (- 11 )

= ( -12 ) + (- 13 ) + ( -11 ) + 36 

=  - 25 + ( - 11 ) + 36

= -36 + 36 

= 0