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\(\dfrac{3}{5}và\dfrac{15}{25}và\dfrac{21}{35};\dfrac{5}{8}và\dfrac{20}{32}\)
\(\dfrac{3}{5}=\dfrac{9}{15}=\dfrac{15}{25}=\dfrac{21}{35}\\ \dfrac{5}{8}=\dfrac{20}{32}\)
\(\dfrac{11}{16}\) = \(\dfrac{1}{16}\) + \(\dfrac{10}{16}\) = \(\dfrac{1}{16}\) + \(\dfrac{2+8}{2\times8}\) = \(\dfrac{1}{16}\) + \(\dfrac{2}{2\times8}\) + \(\dfrac{8}{2\times8}\) = \(\dfrac{1}{16}\) + \(\dfrac{1}{8}\)+ \(\dfrac{1}{2}\)
\(\dfrac{5}{12}\) = \(\dfrac{1}{12}\) + \(\dfrac{4}{12}\) = \(\dfrac{1}{12}\) + \(\dfrac{4}{3\times4}\) = \(\dfrac{1}{12}\) + \(\dfrac{1}{3}\)
\(\frac{2}{5}=\frac{12}{30}=\frac{40}{100}\)
\(\frac{4}{7}=\frac{12}{21}=\frac{20}{35}\)
\(HokT\)
\(\dfrac{15}{10}=1,5;\dfrac{35}{100}=0,35;\dfrac{107}{100}=1,07\)
\(\dfrac{22109}{1000}=22,109;\dfrac{14}{5}=\dfrac{28}{10}=2,8;\dfrac{920}{1000}=0,92\)
\(\dfrac{138}{100}=1,38;\dfrac{2007}{10}=200,7;\dfrac{1}{1000}=0,001\)
\(\dfrac{3}{6}=\dfrac{3:3}{6:3}=\dfrac{1}{2}\\ \dfrac{18}{24}=\dfrac{18:6}{24:6}=\dfrac{3}{4}\\ \dfrac{5}{35}=\dfrac{5:5}{35:5}=\dfrac{1}{7}\\ \dfrac{40}{90}=\dfrac{40:10}{90:10}=\dfrac{4}{9}\\ \dfrac{75}{30}=\dfrac{75:15}{30:15}=\dfrac{5}{2}\)
\(\dfrac{3}{6}=\dfrac{3:3}{6:3}=\dfrac{1}{2}\\ \dfrac{18}{24}=\dfrac{18:6}{24:6}=\dfrac{3}{4}\\ \dfrac{5}{35}=\dfrac{5:5}{35:5}=\dfrac{1}{7}\\ \dfrac{40}{90}=\dfrac{40:10}{90:10}=\dfrac{4}{9}\\ \dfrac{75}{30}=\dfrac{75:15}{30:15}=\dfrac{5}{2}\)
\(\dfrac{13}{2}=6,5=\dfrac{65}{10}\)
\(\dfrac{11}{40}=0,275=\dfrac{275}{1000}\)
\(\dfrac{32}{5}=6,4=\dfrac{64}{10}\)
\(\dfrac{21}{250}=0,084=\dfrac{84}{1000}\)
\(\dfrac{1}{200}=0,005=\dfrac{5}{1000}\)
`@` `\text {Ans}`
`\downarrow`
`1,`
Ta có: `12 > 9 > 8 > 7`
`=> 12/8 > 9/8 > 8/8 > 7/8`
`=>` Phân số lớn nhất là `12/8`
`=> A.`
`2,`
So sánh \(\dfrac{3}{4}\text{ ; }\dfrac{9}{32}\)
\(\dfrac{3}{4}=\dfrac{3\times8}{4\times8}=\dfrac{24}{32}\)
Vì `24 > 9 `\(\Rightarrow\dfrac{24}{32}>\dfrac{9}{32}\) \(\Rightarrow\dfrac{3}{4}>\dfrac{9}{32}\)
\(\dfrac{9}{32}\text{;}\dfrac{3}{11}\)
\(\dfrac{9}{32}=\dfrac{9\times11}{32\times11}=\dfrac{99}{352}\)
\(\dfrac{3}{11}=\dfrac{3\times32}{11\times32}=\dfrac{96}{352}\)
Vì `99 > 96 \Rightarrow`\(\dfrac{99}{352}>\dfrac{96}{352}\Rightarrow\dfrac{9}{32}>\dfrac{3}{11}\)
Mà \(\dfrac{3}{11}< \dfrac{3}{4}\); \(\dfrac{9}{32}< \dfrac{3}{4}\)
`\Rightarrow`\(\dfrac{3}{4}>\dfrac{9}{32}>\dfrac{3}{11}\)
So sánh \(\dfrac{5}{7};\dfrac{3}{4}\)
\(\dfrac{5}{7}=\dfrac{5\times4}{7\times4}=\dfrac{20}{28}\)
\(\dfrac{3}{4}=\dfrac{3\times7}{4\times7}=\dfrac{21}{28}\)
Vì \(20< 21\Rightarrow\dfrac{20}{28}< \dfrac{21}{28}\Rightarrow\dfrac{5}{7}< \dfrac{3}{4}\)
So sánh \(\dfrac{5}{7};\dfrac{9}{32}\)
\(\dfrac{5}{7}=\dfrac{5\times32}{7\times32}=\dfrac{160}{224}\)
\(\dfrac{9}{32}=\dfrac{9\times7}{32\times7}=\dfrac{64}{224}\)
Vì \(160>64\Rightarrow\dfrac{160}{224}>\dfrac{64}{224}\Rightarrow\dfrac{5}{7}>\dfrac{9}{32}\)
`\Rightarrow` Thứ tự sắp xếp các phân số tăng dần là: \(\dfrac{3}{11};\dfrac{9}{32};\dfrac{5}{7};\dfrac{3}{4}\)
Bài 1 : A 12/8
Bài 2 : Theo thứ tự tăng dần là : 3/11, 9/32, 5/7, 3/4
2/5=12/30=40/100
2/5=12/30=40/100