So sánh các phân số sau(ko quy đồng) -1234/1244 và -4321/4331
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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 \(\frac{10}{1244}>\frac{10}{4331}\Rightarrow1-\frac{10}{1244}< 1-\frac{10}{4331}\)
\(\Rightarrow\frac{1234}{1244}< \frac{4321}{4331}\)
\(\Rightarrow\frac{-1234}{1244}>\frac{-4321}{4331}\)
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 \(\dfrac{-1234}{1244}>\dfrac{-4321}{4331}\)
\(\dfrac{1234}{1244}< \dfrac{1234+3037}{1244+3037}=\dfrac{4331}{4321}\)
\(\Rightarrow\dfrac{1234}{1244}< \dfrac{4331}{4321}\)
\(\Rightarrow-\dfrac{1234}{1244}>-\dfrac{4331}{4321}\)
\(\Rightarrow\dfrac{-1234}{1244}>\dfrac{4331}{-4321}\)
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 ♡_♡
\(\frac{-1234}{1244}\)và \(\frac{-4321}{4331}\)
Ta có:
\(\frac{-1234}{1244}=\frac{-1234\times4331}{1244\times4331}=\frac{-5344454}{5387764}\)
\(\frac{-4321}{4331}=\frac{-4321\times1244}{1244\times4331}=\frac{-5375324}{5387764}\)
Ta thấy: \(\frac{-5344454}{5387764}>\frac{-5375324}{5387764}\)
\(\Rightarrow\frac{-1234}{1244}>\frac{-4321}{4331}\)
\(\dfrac{333}{337}=\dfrac{337}{337}-\dfrac{4}{337}=1-\dfrac{4}{337}\\ \dfrac{277}{281}=\dfrac{281}{281}-\dfrac{4}{281}=1-\dfrac{4}{281}\\ \)
Ta thấy : \(\dfrac{4}{337}< \dfrac{4}{281}\)
\(=>1-\dfrac{4}{337}>1-\dfrac{4}{281}\\ =>\dfrac{333}{337}>\dfrac{277}{281}\)
a) ta có: \(1-\frac{2012}{2013}=\frac{1}{2013}\)
\(1-\frac{2013}{2014}=\frac{1}{2014}\)
mà \(\frac{1}{2013}>\frac{1}{2014}\) nên \(\frac{2013}{2014}>\frac{2012}{2013}\)
13 x 64 = 832
38 x 21 = 798
Do đó: 13 x 64 > 38 x 21
=> 13 x 64 x 1/64 x 1/38 > 38 x 21 x 1/64 x 1/38
=> 13/38 > 21/64
Ta có :
\(\frac{13}{38}>\frac{13}{39}\left(38< 39\right)\)
\(\Rightarrow\frac{13}{38}>\frac{1}{3}\left(1\right)\)
\(\frac{21}{64}< \frac{21}{63}\left(64>63\right)\)
\(\Rightarrow\frac{21}{64}< \frac{1}{3}\left(2\right)\)
Từ \(\left(1\right);\left(2\right)\)
\(\Rightarrow\frac{21}{64}< \frac{1}{3}< \frac{13}{38}\)
\(\Rightarrow\frac{21}{64}< \frac{13}{38}\)
Vậy \(\frac{21}{64}< \frac{13}{38}\)
~ Ủng hộ nhé
\(\frac{-1234}{1244}=\frac{10}{1234}-\frac{1244}{1244}=\frac{10}{1234}-1\)
\(\frac{-4321}{4331}=\frac{10}{4331}-\frac{4331}{4331}=\frac{10}{4331}-1\)
Vì 1234<4331 nên \(\frac{10}{1234}>\frac{10}{4331}\)
=>\(\frac{10}{1234}-1