a) \(\frac{171717}{292929}=\frac{171717:10101}{292929:10101}=\frac{17}{29}\)

b) \(\frac{3344}{1212}=\frac{3344:4}{1212:4}=\frac{836}{303}\)

c) \(\frac{20192019}{20172017}=\frac{20192019:10001}{20172017:10001}=\frac{2019}{2017}\)

a)  17/29(chia cho 10101) 

B) 836/303( chia 4) 

C) 2019/2017(chia 10001) 

12782/997177

a)-17/23

b)-17/23

c)41/79

-1717/2323=-17/23

-171717/232323=-17/23

123123/237237=41/79

Ta có: \(C=\frac{171717}{151515}+\frac{171717}{353535}+\frac{171717}{999999}+\frac{171717}{636363}\)

\(=\frac{17}{15}+\frac{17}{35}+\frac{17}{63}+\frac{17}{99}\)

\(=\frac{17}{2}\left(\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+\frac{2}{99}\right)\)

\(=\frac{17}{2}\left(\frac13-\frac15+\frac15-\frac17+\frac17-\frac19+\frac19-\frac{1}{11}\right)\)

\(=\frac{17}{2}\left(\frac13-\frac{1}{11}\right)=\frac{17}{2}\cdot\frac{8}{33}=\frac{17\cdot4}{33}=\frac{68}{33}\)

\(\left(\dfrac{17}{15}+\dfrac{17}{35}+\dfrac{17}{63}+\dfrac{17}{99}\right)\times\dfrac{11}{8}=\dfrac{68}{33}\times\dfrac{11}{8}=\dfrac{17}{6}\)

\(=\left(\dfrac{17}{15}+\dfrac{17}{35}+\dfrac{17}{63}+\dfrac{17}{99}\right):\dfrac{8}{11}=\dfrac{68}{33}\times\dfrac{11}{8}=\dfrac{748}{264}=\dfrac{17}{6}\)

Đáp án:

`649/36` 

Giải thích các bước giải:

 `27`  x  `171717/272727`  `+`  `373737/363636`  `=`

 Rút gọn Phân số ta được:

`=`  `27`  x `17/27`  `+`  `37/36` 

`=`   `17`  `+`  `37/36`  `=`  `649/36` 

A = 5 + 5 ^ 2 + 5 ^ 3 + ... + 5 ^ 50

5 A = 5 ^ 2 + 5 ^ 3 + 5 ^ 4 + ... + 5 ^ 51

5 A - A = ( 5 ^ 2 + 5 ^ 3 + 5 ^ 4 + ... + 5 ^ 51 )

            -  ( 5 + 5 ^ 2 + 5 ^ 3 + ... + 5 ^ 50 )

4 A      = 5 ^ 51 - 5

A         = \(\frac{5^{51}-5}{4}\)

A=5^1+5^21+5^3+...+5^50

5^1A=5(5^1+5^2+5^3+..+5^50)

5A=5^2+5^3+..+5^50+5^51

5A-A=(5^2+5^3+..+5^50+5^51)-(5^1+5^2+5^3+..+5^50)

4A=5^51-5^1

A=(5^51-5^1):4