x=y      

\(x=\frac{-17}{23}\)

\(y=\frac{-171717}{232323}=\frac{\left(-171717\right):10101}{232323:10101}=\frac{-17}{23}\)

\(\Rightarrow x=y\)

-171717/232323 = -17/23 (do rút gọn phân số)

-171717/232323 = -10101x17/10101x23 = -17/23

mà -17/23 = -17/23

do đó  -17/23 = -171717/232323

c1

x=-5/8=-0,625

y=14/(-7)=-2

vì 0,625<2 nên -0,625>-2

vậy x>y

c2

x=-5/8 vì 5<8 =>5/8<1=>-5/8>1

y=-14/7 vì 14>7=>14/7>1=>-14/7<1

vậy x>y

c3 

quy đồng hai phân số

c4

biểu diễn trên trục số hữu tỉ

a)-17/23=-171717/232323

b)-265/317<-83/111

c)2002/2003<14/13

d)-27/463<1/3

a: \(-\dfrac{11}{33}< 0< \dfrac{25}{16}\)

b: \(-\dfrac{17}{23}=\dfrac{-171717}{232323}\)

b] \(\frac{127}{-128}>-1\)\(;\)\(\frac{-1345}{1244}< -1\)

\(\Rightarrow\frac{127}{-128}>-1>\frac{-1345}{1244}\Rightarrow\frac{127}{-128}>\frac{-1345}{1244}\)

c]\(\frac{-11}{33}=\frac{-1}{3}\)\(;\)\(\frac{25}{-76}>\frac{25}{-75}=\frac{-1}{3}\)\(\Rightarrow\frac{-11}{33}=\frac{-1}{3}< \frac{25}{-76}\Rightarrow\frac{-11}{33}< \frac{25}{-76}\)

d] \(\frac{-171717}{232323}=\frac{-17\times10101}{23\times10101}=\frac{-17}{23}\)\(\Rightarrow\frac{-17}{23}=\frac{-171717}{232323}\)