sắp xếp các phân số theo thứ tự từ lớn đến bé
205/204 ; 6/6;6/8;7/8
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a: 6/8=1-2/8
7/9=1-2/9
10/12=1-2/12
11/13=1-2/13
17/19=1-2/19
2/8>2/9>2/12>2/13>2/19
=>-2/8<-2/9<-2/12<-2/13<-2/19
=>6/8<7/9<10/12<11/13<17/19
b: 3/5=54/90; 7/9=70/90; 9/10=81/90; 1/3=30/90; 4/20=1/5=18/90
=>4/20<1/3<3/5<7/9<9/10<21/13
\(\dfrac{8}{3};\dfrac{7}{7};\dfrac{6}{7};\dfrac{1}{2};\dfrac{3}{8}\)
\(\dfrac{8}{3}\);\(\dfrac{7}{7}\);\(\dfrac{6}{7}\);\(\dfrac{1}{2}\);\(\dfrac{3}{8}\)
chúc bạn học tốt
\(\dfrac{1}{2}=\dfrac{1\cdot24}{2\cdot24}=\dfrac{24}{48}\)
\(\dfrac{3}{48}=\dfrac{3\cdot1}{48\cdot1}=\dfrac{3}{48}\)
\(\dfrac{8}{12}=\dfrac{8\cdot4}{12\cdot4}=\dfrac{32}{48}\)
\(\dfrac{5}{6}=\dfrac{5\cdot8}{6\cdot8}=\dfrac{40}{48}\)
\(\dfrac{7}{12}=\dfrac{7\cdot4}{12\cdot4}=\dfrac{28}{48}\)
mà 3<24<28<32<40
nên \(\dfrac{3}{48}< \dfrac{1}{2}< \dfrac{7}{12}< \dfrac{8}{12}< \dfrac{5}{6}\)
Ta có:
\(\dfrac{6}{5}=\dfrac{6\times168}{5\times168}=\dfrac{1008}{840}\) ; \(\dfrac{3}{4}=\dfrac{3\times210}{4\times210}=\dfrac{630}{840}\) ; \(\dfrac{9}{8}=\dfrac{9\times105}{8\times105}=\dfrac{945}{840}\)
\(\dfrac{1}{7}=\dfrac{1\times120}{7\times120}=\dfrac{120}{840}\) ; \(\dfrac{2}{3}=\dfrac{2\times280}{3\times280}=\dfrac{560}{840}\)
⇒ \(\dfrac{120}{840}< \dfrac{560}{840}< \dfrac{630}{840}< \dfrac{945}{840}< \dfrac{1008}{840}\) ⇒ \(\dfrac{1}{7}< \dfrac{2}{3}< \)\(\dfrac{3}{4}< \dfrac{9}{8}< \dfrac{6}{5}\)
205/204>1
6/6=1
6/8<7/8<1
=>205/204>6/6>7/8>6/8