a: \(0.2=\dfrac{2}{10}\)

10>7

=>\(\dfrac{2}{10}< \dfrac{2}{7}\)

=>\(\dfrac{2}{7}>0.2\)

b: \(-\dfrac{1^5}{6}=\dfrac{-1}{6}=\dfrac{-3}{18}\)

\(\dfrac{8}{-9}=-\dfrac{16}{18}\)

mà -3>-16

nên \(-\dfrac{1^5}{6}>\dfrac{8}{-9}\)

c: \(\dfrac{2017}{2016}>1\)

\(1>\dfrac{2017}{2018}\)

Do đó: \(\dfrac{2017}{2016}>\dfrac{2017}{2018}\)

d: \(-\dfrac{249}{333}=\dfrac{-249:3}{333:3}=\dfrac{-83}{111}\)

e: \(\dfrac{5^1}{3}=\dfrac{5}{3}=\dfrac{15}{9}\)

\(\dfrac{4^8}{9}=\dfrac{65536}{9}\)

mà 15<65536

nên \(\dfrac{5^1}{3}< \dfrac{4^8}{9}\)

f: 13,589<13,612

\(-\dfrac{249:3}{333:3}=-\dfrac{83}{111}\Rightarrow-\dfrac{249}{333}=-\dfrac{83}{111}\)

-265/ 317 < -83/ 111

làm sao CM đc vậy ;-;

cần cái đấy đou

So sánh:\(-\frac{265}{317}\) và \(\frac{83}{111}\)

Ta có:\(-\frac{265}{317}< 0< \frac{83}{111}\)

Vậy \(-\frac{265}{317}< \frac{83}{111}\)

\(-\frac{265}{317}\)và \(\frac{83}{111}\)
Ta so sánh 2 số với 0:
\(-\frac{265}{317}< 0< \frac{83}{111}\)
Vậy: \(-\frac{265}{317}< \frac{83}{111}\)

a)-17/24 > -25/31

b)-27/38 < -125/195

c)-22/111> -27/134

nhớ k nha!!!!!!!!!!!!!!!!!!

Ban co the ghi cách giải ko

a, \(\frac{-17}{24}< \frac{-25}{31}\)

b,\(\frac{-27}{38}< \frac{-125}{195}\)

c,\(\frac{-22}{111}>\frac{-27}{134}\)

A)>

B)<

C)<

a,

Ta có:
\(\dfrac{3}{7}=1-\dfrac{4}{7}\)
\(\dfrac{11}{15}=1-\dfrac{4}{15}\)
So sánh phân số \(\dfrac{4}{7}\) và \(\dfrac{4}{15}\)
Vì \(7< 15\) nên \(\dfrac{1}{7}>\dfrac{1}{15}\)
\(\Rightarrow1-\dfrac{4}{7}< 1-\dfrac{4}{15}\)
Vậy \(\dfrac{3}{7}< \dfrac{11}{15}\)

b)

\(\dfrac{-11}{6}< -1< \dfrac{-8}{9}\) nên \(\dfrac{-11}{6}< \dfrac{-8}{9}\)

c) 

\(\dfrac{305}{25}=\dfrac{305:5}{25:5}=\dfrac{61}{5}\)
Ta có: 
Mẫu số chung 2 phân số: 80
\(\dfrac{297}{16}=\dfrac{297*5}{16*5}=\dfrac{1485}{80}\)
\(\dfrac{61}{5}=\dfrac{61*16}{5*16}=\dfrac{976}{80}\)
Vì \(1485>976\) nên\(\dfrac{1485}{80}>\dfrac{976}{80}\)
Vậy \(\dfrac{297}{16}>\dfrac{305}{25}\)

d,

$\frac{-205}{317}=\frac{-205:-1}{317:-1}=\frac{205}{-317}$
Ta có: 
Mẫu số chung 2 phân số: -35187
\(\dfrac{205}{-317}=\dfrac{205*111}{-317*111}=\dfrac{22755}{-35187}\)
\(\dfrac{-83}{111}=\dfrac{-83*-317}{111*-317}=\dfrac{26311}{-35187}\)
Vì \(22755< 26311\) nên\(\dfrac{22755}{-35187}< \dfrac{26311}{-35187}\)
Vậy \(\dfrac{-205}{317}< \dfrac{-83}{111}\)

Câu d, mình làm sai, cho mình sửa lại:

\(\dfrac{-205}{317}=\dfrac{-22755}{35187}\)

\(\dfrac{-83}{111}=\dfrac{-26311}{35187}\)

Vậy là  \(-22755>-26311\) hay \(\dfrac{-205}{317}>\dfrac{-83}{111}\)

a)-17/23=-171717/232323

b)-265/317<-83/111

c)2002/2003<14/13

d)-27/463<1/3

 a;\(\dfrac{17}{24}\)  < \(\dfrac{17}{34}\) ⇒ \(\dfrac{-17}{24}\) > \(\dfrac{-17}{34}\) = - \(\dfrac{1}{2}\)

  \(\dfrac{25}{31}\)  > \(\dfrac{25}{50}\) ⇒ - \(\dfrac{25}{31}\)  < \(\dfrac{-25}{50}\) = - \(\dfrac{1}{2}\) 

    Vậy - \(\dfrac{17}{34}\) > - \(\dfrac{25}{31}\) 

b;  \(\dfrac{27}{38}\) > \(\dfrac{27}{39}\) > \(\dfrac{25}{39}\) 

⇒ - \(\dfrac{27}{38}\) < - \(\dfrac{25}{39}\)  = \(\dfrac{-125}{195}\) 

Vậy - \(\dfrac{27}{38}\) < - \(\dfrac{125}{195}\)