sắp xếp phân số theo thứ tự thừ lớn đến bé
2/3 , 5/6 , 5/2 , 1/2
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=> 5/6; 4/5; 2/3; 7/12; 1/2
1/2 ; 4/5 ; 2/3 ; 5/6 ; 7/12
Khi quy đồng ta có: 30/60; 48/60; 40/60; 50/60; 35/60
a)\(\dfrac{8}{15}< \dfrac{11}{15}< \dfrac{15}{15}< \dfrac{16}{15}< \dfrac{17}{15}< \dfrac{19}{15}\)
b)\(\dfrac{19}{42}< \dfrac{19}{35}< \dfrac{19}{21}< \dfrac{19}{19}< \dfrac{19}{17}\)
c)\(\dfrac{8}{10}< \dfrac{6}{7}< \dfrac{27}{25}< \dfrac{16}{14}\)
a) 8/15 ; 11/15 ; 15/15 ; 16/15 ; 17/15 ; 19/15
b) 19/42 19/35 ; 19/21 ; 19/19 ; 19/17
c) 8/10 ; 6/7 ; 27/25 ; 16/14
\(\frac{3}{4}< \frac{3}{2}< \frac{5}{3}< \frac{5}{2}< \frac{6}{1}< \frac{29}{4}\)
Ta có:
\(\dfrac{6}{5}=\dfrac{6\times168}{5\times168}=\dfrac{1008}{840}\) ; \(\dfrac{3}{4}=\dfrac{3\times210}{4\times210}=\dfrac{630}{840}\) ; \(\dfrac{9}{8}=\dfrac{9\times105}{8\times105}=\dfrac{945}{840}\)
\(\dfrac{1}{7}=\dfrac{1\times120}{7\times120}=\dfrac{120}{840}\) ; \(\dfrac{2}{3}=\dfrac{2\times280}{3\times280}=\dfrac{560}{840}\)
⇒ \(\dfrac{120}{840}< \dfrac{560}{840}< \dfrac{630}{840}< \dfrac{945}{840}< \dfrac{1008}{840}\) ⇒ \(\dfrac{1}{7}< \dfrac{2}{3}< \)\(\dfrac{3}{4}< \dfrac{9}{8}< \dfrac{6}{5}\)
\(\dfrac{1}{2}=\dfrac{1\cdot24}{2\cdot24}=\dfrac{24}{48}\)
\(\dfrac{3}{48}=\dfrac{3\cdot1}{48\cdot1}=\dfrac{3}{48}\)
\(\dfrac{8}{12}=\dfrac{8\cdot4}{12\cdot4}=\dfrac{32}{48}\)
\(\dfrac{5}{6}=\dfrac{5\cdot8}{6\cdot8}=\dfrac{40}{48}\)
\(\dfrac{7}{12}=\dfrac{7\cdot4}{12\cdot4}=\dfrac{28}{48}\)
mà 3<24<28<32<40
nên \(\dfrac{3}{48}< \dfrac{1}{2}< \dfrac{7}{12}< \dfrac{8}{12}< \dfrac{5}{6}\)
5/2 > 5/6 > 2/3 > 1/2
5/2:5/6:2/3:1/2