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\(\dfrac{1}{2}=\dfrac{1\cdot24}{2\cdot24}=\dfrac{24}{48}\)
\(\dfrac{3}{48}=\dfrac{3\cdot1}{48\cdot1}=\dfrac{3}{48}\)
\(\dfrac{8}{12}=\dfrac{8\cdot4}{12\cdot4}=\dfrac{32}{48}\)
\(\dfrac{5}{6}=\dfrac{5\cdot8}{6\cdot8}=\dfrac{40}{48}\)
\(\dfrac{7}{12}=\dfrac{7\cdot4}{12\cdot4}=\dfrac{28}{48}\)
mà 3<24<28<32<40
nên \(\dfrac{3}{48}< \dfrac{1}{2}< \dfrac{7}{12}< \dfrac{8}{12}< \dfrac{5}{6}\)
a) \(\dfrac{2}{3}=\dfrac{4}{6}\)
\(\dfrac{5}{6}=\dfrac{5}{6}\)
Do đó: \(\dfrac{2}{3}< \dfrac{5}{6}\)
mà \(\dfrac{5}{6}< 1< \dfrac{8}{7}\)
nên \(\dfrac{2}{3}< \dfrac{5}{6}< \dfrac{8}{7}\)
12/45=4/15=16/60;
35/60=35/60
12/24=1/2=30/60
6/15=2/5=24/60
12/15=48/60
=>12/45<6/15<12/24<35/60<12/15<8/7
=> 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
Ta có:
\(\dfrac{6}{5}=\dfrac{6\times168}{5\times168}=\dfrac{1008}{840}\) ; \(\dfrac{3}{4}=\dfrac{3\times210}{4\times210}=\dfrac{630}{840}\) ; \(\dfrac{9}{8}=\dfrac{9\times105}{8\times105}=\dfrac{945}{840}\)
\(\dfrac{1}{7}=\dfrac{1\times120}{7\times120}=\dfrac{120}{840}\) ; \(\dfrac{2}{3}=\dfrac{2\times280}{3\times280}=\dfrac{560}{840}\)
⇒ \(\dfrac{120}{840}< \dfrac{560}{840}< \dfrac{630}{840}< \dfrac{945}{840}< \dfrac{1008}{840}\) ⇒ \(\dfrac{1}{7}< \dfrac{2}{3}< \)\(\dfrac{3}{4}< \dfrac{9}{8}< \dfrac{6}{5}\)
\(\dfrac{12}{10}\);\(\dfrac{8}{10}\);\(\dfrac{2}{5}\);\(\dfrac{9}{45}\)
\(\dfrac{12}{7};\dfrac{3}{2}\)
12/7 , 3/2