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![](https://rs.olm.vn/images/avt/0.png?1311)
a) ta có \(\frac{1234}{1235}=1-\frac{1}{1235}\)
\(\frac{4319}{4320}=1-\frac{1}{4320}\)
vì \(\frac{1}{1235}>\frac{1}{4320}\Rightarrow1-\frac{1}{1235}< 1-\frac{1}{4320}\)
\(\Rightarrow\frac{1234}{1235}< \frac{4319}{4320}\)
b) ta có \(\frac{1234}{1244}=1-\frac{10}{1244}\)
\(\frac{4321}{4331}=1-\frac{10}{4331}\)
vì \(\frac{10}{1244}>\frac{10}{4331}\Rightarrow1-\frac{10}{1244}< 1-\frac{10}{4331}\)
\(\Rightarrow\frac{1234}{1244}< \frac{4321}{4331}\)
\(\Rightarrow\frac{-1234}{1244}>\frac{-4321}{4331}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{-1234}{1244}=\frac{10}{1234}-\frac{1244}{1244}=\frac{10}{1234}-1\)
\(\frac{-4321}{4331}=\frac{10}{4331}-\frac{4331}{4331}=\frac{10}{4331}-1\)
Vì 1234<4331 nên \(\frac{10}{1234}>\frac{10}{4331}\)
=>\(\frac{10}{1234}-1
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
\(\dfrac{-1234}{1244}=-1+\dfrac{10}{1244}\)
\(\dfrac{-4321}{4331}=-1+\dfrac{10}{4331}\)
Vì \(\dfrac{10}{1244}>\dfrac{10}{4331}\)
\(\Rightarrow-1+\dfrac{10}{1244}>-1+\dfrac{10}{4331}\)
hay \(\dfrac{-1234}{1244}>\dfrac{-4321}{4331}\)
\(\dfrac{1234}{1244}< \dfrac{1234+3037}{1244+3037}=\dfrac{4331}{4321}\)
\(\Rightarrow\dfrac{1234}{1244}< \dfrac{4331}{4321}\)
\(\Rightarrow-\dfrac{1234}{1244}>-\dfrac{4331}{4321}\)
\(\Rightarrow\dfrac{-1234}{1244}>\dfrac{4331}{-4321}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có:
\(-\frac{31}{32}< 0< \frac{31317}{32327}\)
b) Ta có:
\(1-\frac{1234.1235-1}{1234.1235}=\frac{1}{1234.1235}\)
\(1-\frac{1235.1236-1}{1235.1236}=\frac{1}{1235.1236}\)
Mà \(\frac{1}{1234.1235}>\frac{1}{1235.1236}\)
\(\Rightarrow\frac{1234.1235-1}{1234.1235}< \frac{1235.1236-1}{1235.1236}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
31/32= 1 -1/32
31317/32327= 1- 1010/32327
ta có 1010/32327 x 32 = 32320/32327 <1=32/32=1/32 x 32
=> 1010/32327<1/32 => 31317/32327 > 31/32
Ta có\(\frac{-31}{-32}=\frac{31}{32}=\frac{31310}{32320}\)
Vì 31310<32320 nên \(\frac{31310}{32320}< 1\)
\(\Rightarrow\frac{31310}{32320}< \frac{31310+7}{32320+7}=\frac{31317}{32327}\)
\(\frac{-31}{-32}< \frac{31317}{32327}\)
Học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
-18/91 = -0,19...
-23/114 = -0,20...
mà 0,20...> 0,19... nên -0,19... > -0,20...
vậy -18/91 > -23/114
![](https://rs.olm.vn/images/avt/0.png?1311)
b) Ta có:
\(\frac{1234.1235-1}{1234.1235}=1-\frac{1}{1234.1235}\)
\(\frac{1235.1236-1}{1235.1236}=1-\frac{1}{1235.1236}\)
DO \(\frac{1}{1234.1235}>\frac{1}{1235.1236}\)=> \(-\frac{1}{1234.1235}< -\frac{1}{1235.1236}\)
=> \(\frac{1234.1235-1}{1234.1235}< \frac{1235.1236-1}{1235.1236}\)
a) \(\frac{1}{1235}>\frac{1}{4320}\Rightarrow-\frac{1}{1235}< -\frac{1}{4320}\Rightarrow1-\frac{1}{1235}< 1-\frac{1}{4320}\Rightarrow\frac{1234}{1235}< \frac{4319}{4320}.\)
b) \(\frac{10}{1244}< \frac{10}{4331}\Rightarrow\frac{10}{1244}-1< \frac{10}{4331}-1\Rightarrow-\frac{1234}{1244}< -\frac{4321}{4331}\)
a) Ta có:
1234/1235 = 1 - 1/1235
4319/4320 = 1 - 1/4320
Vì 1/1235 > 1/4320
=> 1234/1235 < 4319/4320
b) -1234/1244 = -1 + 10/1244
-4321/4331 = -1 + 10/4331
Vì 10/1244 > 10/4331
=> -1 + 10/4331 > -1/4331
Ủng hộ mk nha ♡_♡