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a)
\(\dfrac{6}{12}=\dfrac{6:6}{12:6}=\dfrac{1}{2}\)
\(\Rightarrow\dfrac{1}{2}=\dfrac{1\times2}{2\times2}=\dfrac{2}{4}\)
Mà \(\dfrac{2}{4}< \dfrac{3}{4}\)
Vậy \(\dfrac{6}{12}< \dfrac{3}{4}\).
b)
\(\dfrac{8}{10}=\dfrac{8:2}{10:2}=\dfrac{4}{5}\)
Mà \(\dfrac{2}{5}< \dfrac{4}{5}\)
Vậy \(\dfrac{2}{5}< \dfrac{8}{10}\).
c)
\(\dfrac{40}{35}=\dfrac{40:5}{35:5}=\dfrac{8}{7}\)
Mà \(\dfrac{8}{7}>\dfrac{6}{7}\)
Vậy \(\dfrac{40}{35}>\dfrac{6}{7}\).
d)
\(\dfrac{8}{16}=\dfrac{8:8}{16:8}=\dfrac{1}{2}\)
Mà \(\dfrac{1}{2}< \dfrac{5}{2}\)
Vậy \(\dfrac{8}{16}< \dfrac{5}{2}\).
Ta có \(\dfrac{8}{10}=\dfrac{4}{5}\)
Vì 2 < 4 nên \(\dfrac{2}{5}< \dfrac{4}{5}=\dfrac{8}{10}\)
Vậy \(\dfrac{2}{5}< \dfrac{8}{10}\)
\(\frac{16}{48}=\frac{16:16}{48:16}=\frac{1}{3}\);\(\frac{14}{35}=\frac{14:7}{35:7}=\frac{2}{5}\)
\(\frac{1}{3}=\frac{1\cdot5}{3\cdot5}=\frac{5}{15}\); \(\frac{2}{5}=\frac{2\cdot3}{5\cdot3}=\frac{6}{15}\)
a: 90/126=5/7<6/7
b: 70/84=5/6
35/42=5/6
=>70/84=35/42
\(\frac{5}{7}\)và\(\frac{6}{21}\)
\(\frac{6}{21}=\frac{2}{7}\)
\(\frac{5}{7}>\frac{2}{7}\)
\(\frac{5}{7}\) và \(\frac{6}{21}\)
\(\frac{6}{21}=\frac{2}{7}\)
\(\Rightarrow\frac{5}{7}>\frac{2}{7}\)
\(\dfrac{5}{7}\)>\(\dfrac{6}{21}\)
\(\dfrac{18}{24}\)>\(\dfrac{15}{25}\)
\(\dfrac{12}{13}\)=\(\dfrac{1212}{1313}\)
`40/35= 8/7`
`8=8->40/35=8/7`