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\(\begin{array}{l}a)\dfrac{{10}}{{16}}:\dfrac{4}{{21}} = \dfrac{{10}}{{16}}.\dfrac{{21}}{4} = \dfrac{{105}}{{32}} = 105:32;\\b)1,3:2,75 = \dfrac{{1,3}}{{2,75}} = \dfrac{{130}}{{275}} = \dfrac{{26}}{{55}} = 26:55;\\c)\dfrac{{ - 2}}{5}:0,25 = \dfrac{{ - 2}}{5}:\dfrac{1}{4} = \dfrac{{ - 2}}{5}.\dfrac{4}{1} = \dfrac{{ - 8}}{5} = ( - 8):5\end{array}\)
a)\(1,5:2,16=15:216=5:72\)
b)\(4\dfrac{2}{7}:\dfrac{3}{5}=\dfrac{30}{7}:\dfrac{3}{5}=\dfrac{30}{7}.\dfrac{5}{3}=\dfrac{50}{7}=50:7\)
c)\(\dfrac{\dfrac{2}{9}}{0,31}=\dfrac{2}{9}:\dfrac{31}{100}=\dfrac{2}{9}.\dfrac{100}{31}=\dfrac{31}{450}=31:450\)
10:15 ; \(\dfrac{16}{9}\):\(\dfrac{16}{24}\) ; \(\dfrac{2}{3}\):\(\dfrac{1}{4}\) ; 16:(-4) ; 14:21 ; -5:15 ; 12:(-3) ; -1,2:3,6
10:15=\(\dfrac{2}{3}\) ;\(\dfrac{16}{24}\)=\(\dfrac{2}{3}\) ;16:(-4)=-4 ;14:21=\(\dfrac{2}{3}\) :-5:15=\(\dfrac{-1}{3}\) ;12:(-3)=-4
-1,2:3,6=\(\dfrac{-1}{3}\)
Ta có các tỉ lệ thức: \(\dfrac{10}{15}\)=\(\dfrac{16}{24}\)=\(\dfrac{14}{21}\)=\(\dfrac{2}{3}\) ;\(\dfrac{16}{-4}\)=\(\dfrac{12}{-3}\)=-4 ;\(\dfrac{-5}{15}\)=\(\dfrac{-1,2}{3,6}\)=\(\dfrac{-1}{3}\)
a) \(1,2:3,36=\dfrac{6}{5}:\dfrac{84}{25}=\dfrac{5}{14}\)
b)\(3\dfrac{1}{7}:2\dfrac{5}{14}=\dfrac{22}{7}:\dfrac{33}{14}=\dfrac{4}{3}\)
c)\(\dfrac{3}{8}:0,54=\dfrac{3}{8}:\dfrac{27}{50}=\dfrac{25}{36}\)
a, Ta có : \(1,2=\dfrac{12}{10}=\dfrac{6}{5}\) ; \(3,36=\dfrac{84}{25}\)
=> \(1,2:3,36=\dfrac{6}{5}:\dfrac{84}{25}=\dfrac{5}{14}\)
b, Ta có : \(3\dfrac{1}{7}:2\dfrac{5}{14}=\dfrac{22}{7}:\dfrac{33}{14}=\dfrac{4}{3}\)
c,\(\dfrac{3}{8}:0,54=\dfrac{3}{8}:\dfrac{27}{50}=\dfrac{25}{36}\)
a: 10:15=14:21
=>10/14=15/21; 15/10=21/14; 14/10=21/15
b: 2/3:1/4=2/3x4=8/3
16/9:16/24=16/9x24/16=8/3
Do đó: \(\dfrac{\dfrac{2}{3}}{\dfrac{1}{4}}=\dfrac{\dfrac{16}{9}}{\dfrac{16}{24}}\)
Suy ra: \(\dfrac{\dfrac{2}{3}}{\dfrac{16}{9}}=\dfrac{\dfrac{1}{4}}{\dfrac{16}{24}};\dfrac{\dfrac{1}{4}}{\dfrac{2}{3}}=\dfrac{\dfrac{16}{24}}{\dfrac{16}{9}};\dfrac{\dfrac{16}{9}}{\dfrac{2}{3}}=\dfrac{\dfrac{16}{24}}{\dfrac{1}{4}}\)
`a)10/16 : 4/21`
`=105/32`
`=105:32`
`b)1,3:2,75`
`=26/55`
`=26:55`
`c)[-2]/5:0,25`
`=[-8]/5`
`=-8:5`
`a,` \(\dfrac{10}{16}\div\dfrac{4}{21}=\dfrac{5}{8}\div\dfrac{4}{21}=\dfrac{105}{32}=105\div32\)
`b,` \(1,3\div2,75=\dfrac{13}{10}\div\dfrac{11}{4}=\dfrac{26}{55}=26\div55\)
`c,` \(-\dfrac{2}{5}\div0,25=-\dfrac{2}{5}\div\dfrac{1}{4}=-\dfrac{8}{5}=-8\div5\)