a. \(\frac{26}{42}< \frac{56}{78}\)

b.\(\frac{58}{89}< \frac{36}{53}\)

c.\(\frac{1530}{1632}>\frac{1414}{1515}\)

d.\(\frac{-373737}{515151}>\frac{-1111}{1212}\)

k cho mk nha!!!!

giải chi tiết  hộ mk nha!

1530/1632>1414/1515

chọn dấu >

85/153= 5/9

1111/1212= 11/12

1530/1632= 15/16

85/153= 5/9

1111/1212= 11/12

1530/1632= 15/16

5/9      
11/12

a) \(\dfrac{12}{14}=\dfrac{1200}{1400}=\dfrac{1400-200}{1400}=1-\dfrac{200}{1400}\)

\(\dfrac{1212}{1414}=\dfrac{1414-200}{1414}=1-\dfrac{200}{1414}\)

vì \(\dfrac{200}{1414}< \dfrac{200}{1400}\)

Nên \(1-\dfrac{200}{1400}< 1-\dfrac{200}{1414}\)

Vậy \(\dfrac{12}{14}< \dfrac{1212}{1414}\)

Các bài sau tương tự

a) 14/15

b) 11/12

tick mình nha

14/15

11/12

Giai han ra cho toi voi 

\(\frac{2323+1313+1414+1515+1616}{4141+2222+2323+2424+2525}\)

=\(\frac{8181}{13635}\)

18180,8               

\(\dfrac{1111}{1212}\)  và  \(\dfrac{1515}{1616}\)

\(\dfrac{1111}{1212}=\dfrac{1111\times1616}{1212\times1616}=\dfrac{1795376}{1958592}\)

\(\dfrac{1515}{1616}=\dfrac{1515\times1212}{1616\times1212}=\dfrac{1836180}{1958592}\)

Vì: 1836180 > 1795376

=> \(\dfrac{1111}{1212}< \dfrac{1515}{1616}\)

\(\dfrac{1111}{1212}\) = \(\dfrac{1111:101}{1212:101}\) = \(\dfrac{11}{12}\)= 1 - \(\dfrac{1}{12}\) ;    \(\dfrac{1515}{1616}\) =\(\dfrac{1515:101}{1616:101}\) = \(\dfrac{15}{16}\) = 1 -\(\dfrac{1}{16}\)

Vì \(\dfrac{1}{12}\) > \(\dfrac{1}{16}\) nên  \(\dfrac{1111}{1212}\) < \(\dfrac{1515}{1616}\)

\(\dfrac{1111}{1212}=\dfrac{11}{12}=1-\dfrac{1}{12}\)

\(\dfrac{1516}{1516}=\dfrac{15}{16}=1-\dfrac{1}{16}\)

Vì: \(\dfrac{1}{12}>\dfrac{1}{16}\) nên \(1-\dfrac{1}{12}< 1-\dfrac{1}{16}\)

Vậy\(\dfrac{1111}{1212}< \dfrac{1515}{1616}\)

\(\frac{1010+1111+1212+1313+1414+1515}{2020+2121+2222+2323+2424+2525}=\frac{10\times101+11\times101+12\times101+13\times101+14\times101+15\times101}{20\times101+21\times101+22\times101+23\times101+24\times101+25\times101}=\frac{101\times\left(10+11+12+13+14+15\right)}{101\times\left(20+21+22+23+24+25\right)}\)

\(=\frac{10+11+12+13+14+15}{20+21+22+23+24+25}=\frac{75}{135}=\frac{5}{9}\)

1010+1111+1212+1313+1414+1515= 7575

2020+2121+2222+2323+2424+2525= 13635

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