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

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

a, -1/4<0

1/100>0

=> -1/4<1/100

b) -11/32=-11.25/ 32.25=-275/800

-25/ 76=-25.11/ 76.11=-275/ 836

=>275/800>275/836

=> -275/800< -275/836

c) -127/128> -1

-1345/1344< -1

=> 127/ -128> -1345/ 1344

d) -171717/ 232323= -17.10101/ 23.10101=-17/23

e) -1/25<0

1/1225>0

=> -1/25< 1/1225

f) 215/216<1

104/103>1

=> 215/216< 104/103

g) -12/19= 19-31/ 19= 1-31/19

-14/17= 17-31/ 17= 1-31/17

mà 31/19< 31/17

=> 1-31/19> 1-31/17

=>-12/19> -14/17

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

-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

171717/232323 = 17.10101/23.10101 = 17/23 < 19/23

Rút gọn phân số ta có:

              171717 : 10101 = 17

              232323 : 10101 = 23

Và bằng 17/23 < 19/23.

x=y      

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

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

\(\Rightarrow x=y\)

Rút gọn 171717/232323 = 17/23 

Quy đồng mẫu số hai phân số: 19/2 5= 19x23/25x23 = 437/575 và 17/23 = 17x25/23x25 = 425/575

Ta thấy 437>425 => 437/575>425/575 => 19/25 > 171717/232323

\(\dfrac{11}{33}=\dfrac{11}{3.11}=\dfrac{1}{3}\)

\(\dfrac{25}{76}< \dfrac{25}{75}=\dfrac{1}{3}\)

\(\Rightarrow\dfrac{11}{33}>\dfrac{25}{76}\)

\(\Rightarrow-\dfrac{11}{33}< -\dfrac{25}{76}\)

\(\Rightarrow\dfrac{-11}{33}< \dfrac{25}{-76}\)