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\(\frac{18}{91}=\frac{558}{2821}\)
\(\frac{6}{31}=\frac{546}{2821}\)
=>\(\frac{18}{91}>\frac{6}{31}\)
Ta có : \(\frac{18}{91}< \frac{18}{90}\left(91>90\right)\)
\(\Rightarrow\frac{18}{91}< \frac{1}{5}\left(1\right)\)
\(\frac{6}{31}>\frac{6}{30}\left(31>30\right)\)
\(\Rightarrow\frac{6}{31}>\frac{1}{5}\left(2\right)\)
Từ \(\left(1\right);\left(2\right)\Rightarrow\frac{18}{91}< \frac{1}{5}< \frac{6}{31}\)
\(\Rightarrow\frac{18}{91}< \frac{6}{31}\)
Chúc bạn học tốt !!!
a: 17/200>17/314
b: 11/54=22/108<22/37
c: 141/893=3/19
159/901=3/17
mà 3/19<3/17
nên 141/893<159/901
a: \(=\dfrac{-12}{7}\left(\dfrac{4}{35}+\dfrac{31}{35}\right)-\dfrac{2}{7}=\dfrac{-12}{7}-\dfrac{2}{7}=-2\)
b: =(-4)+(-4)+...+(-4)
=-4*25=-100
c: \(=157\cdot\left(-37\right)-41\cdot53+37\cdot157+51\cdot53\)
=10*53
=530
Ta thấy:
\(\dfrac{31}{61}=1-\dfrac{300}{610}\)
\(\dfrac{311}{611}=1-\dfrac{300}{611}\)
Vì \(\dfrac{300}{610}>\dfrac{300}{611}\)
\(\Rightarrow1-\dfrac{300}{610}< 1-\dfrac{300}{611}\)
\(\Rightarrow\dfrac{31}{61}< \dfrac{311}{611}\)
Vậy \(\dfrac{31}{61}< \dfrac{311}{611}\).
a: 14/21=2/3=4/6
60/72=5/6
mà 4<5
nên 14/21<60/72
b: 38/133=2/7=16/56
129/344=3/8=21/56
mà 16<21
nên 38/133<129/344
a: \(\dfrac{5}{24}< \dfrac{15}{24}=\dfrac{5}{8}\)
b: \(\dfrac{6+9}{6\cdot9}=\dfrac{15}{54}\)
4/9=24/54
2/3=36/54
Do đó: \(\dfrac{15}{54}< \dfrac{24}{54}< \dfrac{36}{54}\)
a)\(\dfrac{1212}{2323}=\dfrac{1212:101}{2323:101}=\dfrac{12}{23}\)
b)\(\dfrac{-3435}{4141}< \dfrac{-3434}{4141}=\dfrac{-3434:101}{4141:101}\)
Nhận xét:
\(\dfrac{\overline{abab}}{\overline{cdcd}}=\dfrac{\overline{ab}}{\overline{cd}}\)
\(1-\dfrac{31}{61}=\dfrac{61}{61}-\dfrac{31}{61}=\dfrac{30}{61}=\dfrac{300}{610}\\ 1-\dfrac{311}{611}=\dfrac{611}{611}-\dfrac{311}{611}=\dfrac{300}{611}\\ \text{Vì }\dfrac{300}{610}>\dfrac{300}{611}=>\dfrac{31}{61}< \dfrac{311}{611}\)
Ta có: \(\dfrac{3}{7}\)=\(\dfrac{6}{14}\)\(\le\)\(\dfrac{7}{14}=\dfrac{1}{2}\)
\(\dfrac{31}{37}>\dfrac{31}{62}=\dfrac{1}{2}\)
\(\dfrac{311}{711}< \dfrac{311}{622}=\dfrac{1}{2}\)
=>\(\dfrac{31}{37}>\dfrac{3}{7};\dfrac{31}{37}>\dfrac{311}{711}\)(1)
Lại có : \(1-\dfrac{3}{7}=\dfrac{4}{7}=\dfrac{400}{700}\)
\(1-\dfrac{311}{711}=\dfrac{400}{711}< \dfrac{400}{700}\)
=>\(\dfrac{311}{711}>\dfrac{3}{7}\) (2)
Từ (1) và (2) ==>\(\dfrac{31}{37}>\dfrac{311}{711}>\dfrac{3}{7}\)
Thanks very much!!!