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TL:
a) \(\dfrac{5}{6}\);\(\dfrac{9}{8}\);\(\dfrac{17}{18}\)
b) \(\dfrac{1}{2}\);\(\dfrac{5}{8}\);\(\dfrac{3}{4}\)
+ Các phân số 3/4 ; 5/8 ; 4/3 ; 2/3 theo thứ tự từ bé đến lớn là: 5/8 ; 2/3 ; 3/4 ; 4/3
+ Các phân số 3/7 ; 8/14 ; 3/8 ; 8/7 theo thứ tự từ lớn đến bé là: 8/7 ; 8/14 ; 3/7 ; 3/8
a)
\(\dfrac{5}{6}< \dfrac{7}{6}\)
\(2=\dfrac{6}{3}\)
\(\dfrac{3}{7}>\dfrac{4}{14}\) (vì \(\dfrac{4}{14}=\dfrac{2}{7}\))
\(\dfrac{12}{20}< \dfrac{4}{5}\) (vì \(\dfrac{12}{20}=\dfrac{3}{5}\))
b)
\(\dfrac{1}{13}=\dfrac{3}{39};\dfrac{25}{13}=\dfrac{75}{39}\)
\(\dfrac{75}{39}>\dfrac{4}{39}>\dfrac{3}{39}\rightarrow\dfrac{75}{39},\dfrac{4}{39},\dfrac{3}{39}\)
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\(\dfrac{2}{8}=\dfrac{4}{16};\dfrac{7}{4}=\dfrac{28}{16}\)
\(\dfrac{28}{16}>\dfrac{9}{16}>\dfrac{4}{16}\rightarrow\dfrac{28}{16},\dfrac{9}{16},\dfrac{4}{16}\)
a)
\(\dfrac{5}{9}< \dfrac{9}{9}\)
\(\dfrac{8}{7}>\dfrac{7}{7}\)
\(\dfrac{9}{9}=1\)
\(\dfrac{18}{4}>\dfrac{3}{4}\)
b)
\(\dfrac{2}{5},\dfrac{3}{5},\dfrac{8}{5}\)
\(\dfrac{5}{2}=\dfrac{15}{6},\dfrac{1}{6},1=\dfrac{6}{6}\rightarrow\dfrac{1}{6},\dfrac{6}{6},\dfrac{15}{6}\)
a) Ta có: \(\dfrac{6}{11}=\dfrac{18}{33}\);
\(\dfrac{23}{33}=\dfrac{23}{33}\)
\(\dfrac{2}{3}=\dfrac{22}{33}\)
Do đó: \(\dfrac{6}{11}< \dfrac{2}{3}< \dfrac{23}{33}\)
b) Ta có: \(1>\dfrac{8}{9}>\dfrac{8}{11}\)
\(\dfrac{9}{8}=\dfrac{8}{8}>1\)
Do đó: \(\dfrac{9}{8}>\dfrac{8}{9}>\dfrac{8}{11}\)
a) \(\dfrac{6}{11};\dfrac{2}{3};\dfrac{23}{33}\)
b) \(\dfrac{9}{8};\dfrac{8}{9};\dfrac{8}{11}\)
`7/10=(7xx6)/(10xx6)=42/60`
`9/4=(9xx15)/(4xx15)=135/60`
`7/12=(7xx5)/(12xx5)=35/60`
`5/12=(5xx5)/(12xx5)=25/60`
vì `25<35<42<135`
`=> 5/12<7/12<7/10<9/4`
a) \(\dfrac{-5}{6}=\dfrac{-340}{408}\);\(\dfrac{7}{8}=\dfrac{357}{408}\);\(\dfrac{7}{24}=\dfrac{119}{408}\)
\(\dfrac{16}{17}=\dfrac{384}{408}\); \(\dfrac{-3}{4}=\dfrac{-306}{408}\); \(\dfrac{2}{3}=\dfrac{272}{408}\)
Do đó: \(\dfrac{-5}{6}< \dfrac{-3}{4}< \dfrac{7}{24}< \dfrac{2}{3}< \dfrac{7}{8}< \dfrac{16}{17}\)
a) Thứ tự từ bé đến lớn: \(\dfrac{2}{7};\dfrac{3}{7};\dfrac{5}{7}\)
b) Thứ tự từ bé đến lớn: \(\dfrac{1}{8};\dfrac{5}{8};\dfrac{7}{8}\)
c) Thứ tự từ bé đến lớn: \(\dfrac{1}{10};\dfrac{7}{10};\dfrac{9}{10}\)