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Ta có:
\(\frac{5}{2};\frac{7}{4}>1\) ; \(\frac{4}{5};\frac{7}{10}< 1\)
Mà \(\frac{5}{2}=\frac{10}{4}>\frac{7}{4}\); \(\frac{4}{5}=\frac{8}{10}>\frac{7}{10}\)
\(\Rightarrow\frac{5}{2}>\frac{7}{4}>\frac{4}{5}>\frac{7}{10}\)
Vậy ta sắp xếp \(\frac{5}{2};\frac{7}{4};\frac{4}{5};\frac{7}{10}\)
\(1,\frac{7}{5},\frac{15}{14},\frac{5}{7},\frac{1}{2},\frac{2}{5}\)
=> 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
\(\dfrac{1}{2}=\dfrac{1\cdot24}{2\cdot24}=\dfrac{24}{48}\)
\(\dfrac{3}{48}=\dfrac{3\cdot1}{48\cdot1}=\dfrac{3}{48}\)
\(\dfrac{8}{12}=\dfrac{8\cdot4}{12\cdot4}=\dfrac{32}{48}\)
\(\dfrac{5}{6}=\dfrac{5\cdot8}{6\cdot8}=\dfrac{40}{48}\)
\(\dfrac{7}{12}=\dfrac{7\cdot4}{12\cdot4}=\dfrac{28}{48}\)
mà 3<24<28<32<40
nên \(\dfrac{3}{48}< \dfrac{1}{2}< \dfrac{7}{12}< \dfrac{8}{12}< \dfrac{5}{6}\)
Ta có:
\(\dfrac{6}{5}=\dfrac{6\times168}{5\times168}=\dfrac{1008}{840}\) ; \(\dfrac{3}{4}=\dfrac{3\times210}{4\times210}=\dfrac{630}{840}\) ; \(\dfrac{9}{8}=\dfrac{9\times105}{8\times105}=\dfrac{945}{840}\)
\(\dfrac{1}{7}=\dfrac{1\times120}{7\times120}=\dfrac{120}{840}\) ; \(\dfrac{2}{3}=\dfrac{2\times280}{3\times280}=\dfrac{560}{840}\)
⇒ \(\dfrac{120}{840}< \dfrac{560}{840}< \dfrac{630}{840}< \dfrac{945}{840}< \dfrac{1008}{840}\) ⇒ \(\dfrac{1}{7}< \dfrac{2}{3}< \)\(\dfrac{3}{4}< \dfrac{9}{8}< \dfrac{6}{5}\)
\(\frac{1}{10},\frac{2}{5},\frac{7}{5},\frac{7}{2}\)
2/5 = 4/10; 1/10 = 1/10; 7/2 = 35/10; 7/5 = 14/10
từ bé đến lớn:
1/10 , 4/10 , 14/10 , 35/10