\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}=\frac{9999}{13635}=\frac{11}{15}\)

Ta có : \(\frac{1919}{2323}x\frac{464646}{747474}x\frac{37}{19}\)

       \(=\frac{19}{23}x\frac{23}{37}x\frac{37}{19}\)

         \(=\frac{19x23x37}{23x37x19}\)

           \(=1\)

~ Chúc các bn học giỏi và may mắn ~

\(\frac{1919}{2323}.\frac{464646}{747474}.\frac{37}{19}\)

\(=\frac{1919:101}{2323:101}.\frac{464646:10101}{747474:10101}.\frac{37}{19}\)

\(=\frac{19}{23}.\frac{46}{74}.\frac{37}{19}\)

\(=\frac{19.46.37}{23.74.19}=\frac{19.23.2.37}{23.37.2.19}=1\)

=1

đó bạn nhé

\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)

\(=\frac{101\times\left(14+15+16+17+18+19\right)}{101\times\left(20+21+22+23+24+25\right)}\)

\(=\frac{14+15+16+17+18+19}{20+21+22+23+24+25}\)

+) Tử số :

Số các số hạng là : ( 19 - 14 ) : 1 + 1 = 6 ( số )

Tổng là : ( 19 + 14 ) x 6 : 2 = 99

+) Mẫu số :

Số các số hạng là : ( 25 - 20 ) : 1 + 1 = 6 ( số )

Tổng là : ( 25 + 20 ) x 6 : 2 = 135

\(\Leftrightarrow\frac{99}{135}=\frac{11}{15}\)

=82/135

\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)

\(=\frac{101\left(14+15+16+17+18+19\right)}{101\left(20+21+22+23+24+25\right)}\)

\(=\frac{\left(19+14\right)\left(19-14+1\right):2}{\left(25+20\right)\left(25-20+1\right):2}\)

=\(\frac{33.6:2}{45.6:2}=\frac{33}{45}=\frac{11}{15}\)

\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)

= \(\frac{\left(1414+1919\right)+\left(1515+1818\right)+\left(1616+1717\right)}{\left(2020+2525\right)+\left(2121+2424\right)+\left(2222+2323\right)}\)

= \(\frac{3333+3333+3333}{4545+4545+4545}=\frac{3333}{4545}=\frac{11}{15}\)

t i c k nhé!! 45435436457

11/15

11/15

ko có đề bài sao giải dc

đề thiếu bạn ơi

a) Ta có :

\(\frac{19}{23}=\frac{19.101}{23.101}=\frac{1919}{2323}\)

\(\Rightarrow\frac{19}{23}=\frac{1919}{2323}\)

b) Ta có 

\(\frac{10}{60}=\frac{10.10101}{60.10101}=\frac{101010}{606060}\)

\(\Rightarrow\frac{10}{60}=\frac{101010}{606060}\)

c) Ta có 

\(\frac{123}{124}=\frac{123.1001}{124.1001}=\frac{123123}{124124}\)

\(\Rightarrow\frac{123}{124}=\frac{123123}{124124}\)

Xét :

\(\frac{122}{123}-1=-\frac{1}{123}\)

\(\frac{123}{124}-1=-\frac{1}{124}\)

Vì \(-\frac{1}{123}< -\frac{1}{124}\)

\(\Rightarrow\frac{122}{123}< \frac{123}{124}\)

\(\Rightarrow\frac{122}{123}< \frac{123123}{124124}\)

19/37