\(\dfrac{2}{3}x-70\dfrac{10}{11}:\left(\dfrac{131313}{151515}+\dfrac{131313}{353535}+\dfrac{131313}{636363}+\dfrac{131313}{999999}\right)=-5\\ \Rightarrow\dfrac{2}{3}x-\dfrac{780}{11}:\left(\dfrac{13}{15}+\dfrac{13}{35}+\dfrac{13}{63}+\dfrac{13}{99}\right)=-5\\ \Rightarrow\dfrac{2}{3}x-\dfrac{780}{11}:13\left(\dfrac{1}{15}+\dfrac{1}{35}+\dfrac{1}{63}+\dfrac{1}{99}\right)=-5\\ \Rightarrow\dfrac{2}{3}x-\dfrac{780}{11}:13.\dfrac{4}{33}=-5\\ \Rightarrow\dfrac{2}{3}x-\dfrac{780}{11}:\dfrac{52}{33}=-5\\ \Rightarrow\dfrac{2}{3}x-45=-5\\ \Rightarrow\dfrac{2}{3}x=40\\ \Rightarrow x=60\)

\(\dfrac{5454}{5757}-\dfrac{171717}{191919}=\dfrac{18\cdot3\cdot101}{19\cdot3\cdot101}-\dfrac{17\cdot10101}{19\cdot10101}=\dfrac{18}{19}-\dfrac{17}{19}=\dfrac{1}{19}\)

\(\Leftrightarrow x\cdot\dfrac{3}{2}-\dfrac{780}{11}:\left[\dfrac{13}{15}+\dfrac{13}{35}+\dfrac{13}{63}+\dfrac{13}{99}\right]=-5\)

\(\Leftrightarrow x\cdot\dfrac{3}{2}-\dfrac{780}{11}:\left[\dfrac{13}{2}\left(\dfrac{2}{15}+\dfrac{2}{35}+\dfrac{2}{63}+\dfrac{2}{99}\right)\right]=-5\)

\(\Leftrightarrow x\cdot\dfrac{3}{2}-\dfrac{780}{11}:\left[\dfrac{13}{2}\left(\dfrac{1}{3}-\dfrac{1}{11}\right)\right]=-5\)

\(\Leftrightarrow x\cdot\dfrac{3}{2}-\dfrac{780}{11}:\dfrac{52}{33}=-5\)

\(\Leftrightarrow x\cdot\dfrac{3}{2}=40\)

hay x=40:3/2=80/3

= 18 x ( \(\dfrac{19}{21}\)+\(\dfrac{8}{9}\))+27 x \(\dfrac{17}{27}\)

=18 x \(\dfrac{113}{63}\)+27 x \(\dfrac{17}{27}\)

=\(\dfrac{226}{7}\)+17

=\(\dfrac{345}{7}\)

Chúc bạn học tốt!!

\(\Leftrightarrow\dfrac{2}{3x}-\dfrac{780}{11}:\left[13\left(\dfrac{1}{15}+\dfrac{1}{35}+\dfrac{1}{63}+\dfrac{1}{99}\right)\right]=-5\)

\(\Leftrightarrow\dfrac{2}{3x}-\dfrac{780}{11}:\left[\dfrac{13}{2}\left(\dfrac{2}{15}+\dfrac{2}{35}+\dfrac{2}{63}+\dfrac{2}{99}\right)\right]=-5\)

\(\Leftrightarrow\dfrac{2}{3x}-\dfrac{780}{11}:\left[\dfrac{13}{2}\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{11}\right)\right]=-5\)

\(\Leftrightarrow\dfrac{2}{3x}-\dfrac{780}{11}:\left[\dfrac{13}{2}\cdot\dfrac{8}{33}\right]=-5\)

\(\Leftrightarrow\dfrac{2}{3x}-45=-5\)

=>2/3x=40

=>3x=1/20

hay x=1/60

Ta có:

-21:7/28:4 = -3/4

-39:13/52:13 = -3/4

Vì -3/4 = -3/4 nên -21/28 = -39/52

-1717:101/2323:101 = -17/23

-171717:10101/232323:10101 = -17/23

Vì -17/23 = -17/23 nên -1717/2323 = -171717/232323

17/35 và 171717/353535                                                                    

Rút gọn: 171717/353535=171717:10101/353535:10101=17/35.          

Mà 17/35=17/35                                                                                  

171717/353535=17/35 

9 x [151515/171717+131313/181818]

= 9 x [15/17+13/18]

= 9 x 491/306

= 491/34

k mk nha

491/34

9 x ( 151515/171717 + 131313/181818 )

= 9 x ( 15/17 + 13/18 )

= 9 x 491/306

= 491/34