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a) \(\dfrac{8}{9}< 1;\dfrac{13}{7}>1\Rightarrow\dfrac{8}{9}< \dfrac{13}{7}\)
b) \(\dfrac{16}{27}>\dfrac{15}{27}>\dfrac{15}{29}\Rightarrow\dfrac{16}{27}>\dfrac{15}{29}\)
Bài 2:
a: \(\dfrac{1}{4};\dfrac{2}{5}\)
\(\dfrac{1}{4}=\dfrac{1\cdot5}{4\cdot5}=\dfrac{5}{20}\)
\(\dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}\)
\(\dfrac{2}{3};\dfrac{7}{8}\)
\(\dfrac{2}{3}=\dfrac{2\cdot8}{3\cdot8}=\dfrac{16}{24}\)
\(\dfrac{7}{8}=\dfrac{7\cdot3}{8\cdot3}=\dfrac{21}{24}\)
\(\dfrac{3}{4};\dfrac{5}{6}\)
\(\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\)
\(\dfrac{5}{6}=\dfrac{5\cdot2}{6\cdot2}=\dfrac{10}{12}\)
b: \(\dfrac{1}{3};\dfrac{7}{9}\)
\(\dfrac{1}{3}=\dfrac{1\cdot3}{3\cdot3}=\dfrac{3}{9}\)
\(\dfrac{7}{9}=\dfrac{7\cdot1}{9\cdot1}=\dfrac{7}{9}\)
\(\dfrac{3}{4};\dfrac{9}{24}\)
\(\dfrac{3}{4}=\dfrac{3\cdot6}{4\cdot6}=\dfrac{18}{24}\)
\(\dfrac{9}{24}=\dfrac{9\cdot1}{24\cdot1}=\dfrac{9}{24}\)
\(\dfrac{7}{10};\dfrac{19}{30}\)
\(\dfrac{7}{10}=\dfrac{7\cdot3}{10\cdot3}=\dfrac{21}{30}\)
\(\dfrac{19}{30}=\dfrac{19\cdot1}{30\cdot1}=\dfrac{19}{30}\)
Bài 1:
\(\dfrac{36}{108}=\dfrac{36:36}{108:36}=\dfrac{1}{3}\)
\(\dfrac{28}{30}=\dfrac{28:2}{30:2}=\dfrac{14}{15}\)
\(\dfrac{42}{98}=\dfrac{42:14}{98:14}=\dfrac{3}{7}\)
\(\dfrac{15}{120}=\dfrac{15:15}{120:15}=\dfrac{1}{8}\)
\(\dfrac{84}{364}=\dfrac{84:28}{364:28}=\dfrac{3}{13}\)
\(\dfrac{120}{100}=\dfrac{120:20}{100:20}=\dfrac{6}{5}\)
\(\dfrac{418}{38}=\dfrac{418:38}{38:38}=\dfrac{11}{1}=11\)
\(\dfrac{96}{1056}=\dfrac{96:96}{1056:96}=\dfrac{1}{11}\)
\(\dfrac{3838}{4040}=\dfrac{3838:101}{4040:101}=\dfrac{38}{40}=\dfrac{38:2}{40:2}=\dfrac{19}{20}\)
\(\dfrac{119119}{123123}=\dfrac{119119:1001}{123123:1001}=\dfrac{119}{123}\)
a )
Ta có :
\(\frac{20}{23}=1-\frac{3}{23}\)
\(\frac{8}{11}=1-\frac{3}{11}\)
Do \(\frac{3}{23}< \frac{3}{11}\left(23>11\right)\)
\(\Rightarrow1-\frac{3}{23}>1-\frac{3}{11}\)
\(\Rightarrow\frac{20}{23}>\frac{8}{11}\)
Vậy \(\frac{20}{23}>\frac{8}{11}\)
b )
Ta có :
\(\frac{7}{8}< \frac{8}{8}=1\left(1\right)\)
\(\frac{2019}{2018}>\frac{2018}{2018}=1\left(2\right)\)
Từ \(\left(1\right);\left(2\right)\)
\(\Rightarrow\frac{7}{8}< 1< \frac{2019}{2018}\)
\(\Rightarrow\frac{7}{8}< \frac{2019}{2018}\)
Vậy \(\frac{7}{8}< \frac{2019}{2018}\)
~ Ủng hộ nhé
b) vì 7/8<1,2019/2018>1 nên7/8 <2019/2018
a ) 1-20/23=3/23,1-8/11=3/11 mà 3/11>3/23 suy ra 20/23<8/11
a. 1/4 và 2/5 có mẫu số chung là 20.
1/4 = 1 x 5/4 x 5 = 5/20
2/5 = 2 x 4/5 x 4 = 8/20
(Mình gửi tạm câu a trước nhé, mấy câu sau chờ mình tý)
\(\frac{1}{4}\)và\(\frac{2}{5}\)
\(MSC:20\)
\(\frac{1}{4}=\frac{5}{20}\);\(\frac{2}{5}=\frac{8}{20}\)
\(\frac{2}{3}\)và\(\frac{7}{8}\)
\(MSC:24\)
\(\frac{2}{3}=\frac{16}{24};\frac{7}{8}=\frac{21}{24}\)
\(\frac{3}{4}\)và\(\frac{5}{6}\)
\(MSC:24\)
\(\frac{3}{4}=\frac{18}{24};\frac{5}{6}=\frac{20}{24}\)
\(\frac{1}{3}\)và\(\frac{7}{9}\)
\(MSC:27\)
\(\frac{1}{3}=\frac{9}{27};\frac{7}{9}=\frac{21}{27}\)
\(\frac{3}{4}\)và\(\frac{9}{24}\)
\(MSC:96\)
\(\frac{3}{4}=\frac{72}{96};\frac{9}{24}=\frac{36}{96}\)
\(\frac{7}{10}\)và\(\frac{19}{30}\)
\(MSC:300\)
\(\frac{7}{10}=\frac{210}{300};\frac{19}{30}=\frac{190}{300}\)
1-5/6=1/6
1-2/7=5/7
1/6 <2/6< 5/7
vậy 5/6 <2/7
ko chắc chắn, đúng k mk nhé