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)-17/23=-171717/232323

b)-265/317<-83/111

c)2002/2003<14/13

d)-27/463<1/3

 \(y=-\frac{83}{111}=-\frac{249}{333}\)

Ta có:  \(\frac{256}{317}>\frac{249}{333}\)vì \(256.333>249.317\)

=> \(-\frac{256}{317}< -\frac{249}{333}\)

hay x<y

a) Để A là số hữu tỉ thì (x-3)\(\in\)Z

=> x\(\in\) Z thoả mãn.

Câu 2 theo cách quy đồng.

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 \(\dfrac{-205}{317}>\dfrac{-83}{111}\)