Có sai đề ko bạn

\(\frac{3333}{4444}-\frac{121121}{363363}+\frac{131313}{151515}\)

\(=\frac{3}{4}-\frac{121}{363}+\frac{13}{15}\)

\(=\frac{3}{4}-\frac{1}{3}+\frac{13}{15}\)

\(=\frac{45}{60}-\frac{20}{60}+\frac{42}{60}\)

\(=\frac{45-20+42}{60}\)

\(=\frac{67}{60}\)

Đâ\áp án chính xác là 67/60

\(=\frac{13\times10101}{15\times10101}+\frac{13\times10101}{35\times10101}+\frac{13\times10101}{63\times10101}+\frac{13\times10101}{99\times10101}\)

\(=\frac{13}{15}+\frac{13}{35}+\frac{13}{63}+\frac{13}{99}=\frac{13}{2}\times\left(\frac{2}{3\times5}+\frac{2}{5\times7}+\frac{3}{7\times9}+\frac{2}{9\times11}\right)\)

\(=\frac{13}{2}\times\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right)=\frac{13}{2}\times\left(\frac{1}{3}-\frac{1}{11}\right)=\frac{13}{2}\times\frac{8}{33}=\frac{52}{33}\)

\(\frac{13.10101}{15.10101}\)+\(\frac{13.10101}{15.10101}\)+\(\frac{13.10101}{63.10101}\)+ \(\frac{13.10101}{99.10101}\)= \(\frac{13}{15}\) +   \(\frac{13}{15}\) + \(\frac{13}{63}\)+  \(\frac{13}{99}\) =\(2\frac{82}{1155}\)

Kết quả của phép tính trên là \(\frac{52}{33}.\)

\(\frac{131313}{151515}+\frac{131313}{353535}+\frac{131313}{636363}+\frac{131313}{999999}\)

=\(\frac{13}{15}+\frac{13}{35}+\frac{13}{63}+\frac{13}{99}\)

=\(13\left(\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}\right)\)

=\(13.\frac{1}{2}\left(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}\right)\)

=\(\frac{13}{2}.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right)\)

=\(\frac{13}{2}.\left(\frac{1}{3}-\frac{1}{11}\right)\)

= \(\frac{13}{2}.\frac{8}{33}\)

=\(\frac{52}{33}\)

52/33

a) 123/127 = 123123/127127

Ta có 123123/127127 = 123 x 1001/127 x 1001

                              <=> 123123/ 127127 = 123 /127

Vậy 123/127 = 123123 /127127

b) 13/15 = 1313/1515 = 131313/151515

- Ta có 1313/1515 = 13 x 101 / 15 x 101 

                         <=> 1313/1515 = 13/15

- ta cũng có : 131313/151515 = 13 x 10101 / 15 x10101

                                          <=> 131313/151515 = 13/15 

Vậy 13/15 = 1313/1515 = 131313 /151515

Chúc bạn học tốt <3

123/127=123123/127127=123 x 1001/127 x 1001=123/127

13/15=1313/1515=13 x 101/15 x 101=13 x 10101/15 x 10101=13/15

ung ho nhe

\(\frac{123}{127}=\frac{123123}{127127}\Rightarrow\frac{123}{127}=\frac{123.1001}{127.1001}\Rightarrow\frac{123}{127}=\frac{123}{127}\Rightarrow\frac{123}{127}=\frac{123123}{127127}\)

\(\frac{13}{15}=\frac{1313}{1515}=\frac{131313}{151515}\Rightarrow\frac{13}{15}=\frac{13.101}{15.101}=\frac{13.10101}{15.10101}\Rightarrow\frac{13}{15}=\frac{13}{15}=\frac{13}{15}\Rightarrow\frac{13}{15}=\frac{1313}{1515}=\frac{131313}{151515}\)

Rút gọn biểu thức S, ta có:
\(S=\frac{13}{30}+\frac{13}{15}+\frac{13}{35}+\frac{13}{63}+\frac{13}{99}\)
\(\Leftrightarrow S=\frac{13}{30}+\left(\frac{13}{3\cdot5}+\frac{13}{5\cdot7}+\frac{13}{7\cdot9}+\frac{13}{9\cdot11}\right)\)
Đặt \(P=\frac{13}{3\cdot5}+\frac{13}{5\cdot7}+\frac{13}{7\cdot9}+\frac{13}{9\cdot11}\)
\(\Rightarrow P\cdot\frac{2}{13}=\frac{2}{3.5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+\frac{2}{9\cdot11}\)
\(\Rightarrow P\cdot\frac{2}{13}=\frac{2}{3}-\frac{2}{5}+\frac{2}{5}-\frac{2}{7}+\frac{2}{7}-\frac{2}{9}+\frac{2}{9}-\frac{2}{11}\)
\(\Rightarrow P\cdot\frac{2}{13}=\frac{2}{3}-\frac{2}{11}\)
\(\Rightarrow P\cdot\frac{2}{13}=\frac{16}{33}\)
\(\Rightarrow P=\frac{104}{33}=3\frac{5}{33}\)
Ta có: \(P+1>P+\frac{13}{30}\)
Mà  \(P+\frac{13}{30}=S\)
Còn \(P+1=3\frac{5}{33}+1=4\frac{5}{33}<5\)
\(\Rightarrow S<4\frac{5}{33}<5\)

Vậy đề bài sai.

Bài này sai đề rồi.

Sai rõ 

\(\frac{3}{2}.x-70\frac{10}{11}:\left(\frac{131313}{151515}+\frac{131313}{353535}+\frac{131313}{636363}+\frac{131313}{999999}=-5\right)\)

\(\frac{3}{2}.x-70\frac{10}{11}:\left(\frac{13}{15}+\frac{13}{35}+\frac{13}{63}+\frac{13}{99}\right)=-5\)

\(\frac{3}{2}.x-70\frac{10}{11}:\left[13\times\left(\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}\right)\right]=-5\)

\(\frac{3}{2}.x-70\frac{10}{11}:\left[13\times\left(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}\right)\right]=-5\)

\(\frac{3}{2}.x-70\frac{10}{11}:\left[13\times\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right)\right]=-5\)

\(\frac{3}{2}.x-70\frac{10}{11}:\left[13\times\left(\frac{1}{3}-\frac{1}{11}\right)\right]=-5\)

\(\frac{3}{2}.x-\frac{45}{2}=-5\)

\(\frac{3}{2}.x=\frac{35}{2}\)

\(x=\frac{35}{3}\)

bài phát sai òi hihi cần mk chỉ chỗ sai ko

x= 80/3 đúng ko các bạn

Bài làm:

Ta có: \(\frac{131313}{151515}+\frac{131313}{353535}+\frac{131313}{636363}+\frac{131313}{999999}\)

\(=\frac{13}{15}+\frac{13}{35}+\frac{13}{63}+\frac{13}{99}\)

\(=\frac{13}{2}\left(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}\right)\)

\(=\frac{13}{2}\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right)\)

\(=\frac{13}{2}\left(\frac{1}{3}-\frac{1}{11}\right)\)

\(=\frac{13}{2}.\frac{8}{33}=\frac{52}{33}\)

\(\frac{131313}{151515}+\frac{131313}{353535}+\frac{131313}{636363}+\frac{131313}{999999}\)

\(=\frac{13}{15}+\frac{13}{35}+\frac{13}{63}+\frac{13}{99}\)

\(=13\left(\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}\right)\)

\(=13\left(\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+\frac{1}{7\cdot9}+\frac{1}{9\cdot11}\right)\)

\(=13\left[\frac{1}{2}\left(\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+\frac{2}{9\cdot11}\right)\right]\)

\(=13\left[\frac{1}{2}\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{9}-\frac{1}{11}\right)\right]\)

\(=13\left[\frac{1}{2}\left(\frac{1}{3}-\frac{1}{11}\right)\right]=13\cdot\frac{1}{2}\cdot\frac{8}{33}=\frac{52}{33}\)

mk ko ghi đề nha

=\(\frac{13}{15}\)+\(\frac{13}{35}\)+\(\frac{13}{63}\)+\(\frac{13}{99}\)

=\(\frac{13}{3.5}\)+\(\frac{13}{5.7}\)+\(\frac{13}{7.9}\)+\(\frac{13}{9.11}\)

=\(\frac{13}{2}\).(\(\frac{2}{3.5}\)+\(\frac{2}{5.7}\)+\(\frac{2}{7.9}\)+\(\frac{2}{9.11}\))

=\(\frac{13}{2}\).(\(\frac{1}{3}\)-\(\frac{1}{5}\)+\(\frac{1}{5}\)-\(\frac{1}{7}\)+\(\frac{1}{7}\)-\(\frac{1}{9}\)+\(\frac{1}{9}\)-\(\frac{1}{11}\))

=\(\frac{13}{2}\).(\(\frac{1}{3}\)-\(\frac{1}{11}\))

=\(\frac{13}{2}\).\(\frac{8}{33}\)

=\(\frac{52}{33}\)

ch sai rồi

A) \(\frac{131313}{151515}+\frac{131313}{353535}+\frac{131313}{636363}+\frac{131313}{999999}\)

\(=\frac{10101\times13}{10101\times15}+\frac{10101\times13}{10101\times35}+\frac{10101\times13}{10101\times63}+\frac{10101\times13}{10101\times99}\)

\(=\frac{13}{15}+\frac{13}{35}+\frac{13}{63}+\frac{13}{99}\)

\(=13\times\left(\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}\right)\)

\(=13\times\frac{4}{33}=\frac{52}{33}\)

B) \(\left(1998:18-1443:13\right)\times\left(16996-1110:30\times305\right)\)

\(=\left(111-111\right)\times\left(16996-1110:30\times305\right)\)

\(=0\times\left(16996-1110:30\times305\right)\)

\(=0\)

( TẤT CẢ MỌI SỐ NHÂN VỚI 0 ĐỀU BẰNG 0)

C) \(\left(\frac{575757}{424242}+\frac{575757}{565656}+\frac{575757}{727272}\right)\times18\)

\(=\left(\frac{10101\times57}{10101\times42}+\frac{10101\times57}{10101\times56}+\frac{10101\times57}{10101\times72}\right)\times8\)

\(=\left(\frac{57}{42}+\frac{57}{56}+\frac{57}{72}\right)\times8\)

\(=\left(\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\right)\times57\times8\)

\(=\frac{1}{169344}\times57\times8\)

\(=\frac{19}{7056}\)

MK KO BIẾT TÌNH NHANH ĐÂU! MK CHỈ LÀM ĐC NHƯ VẬY THÔI!!!!
CHÚC BN HỌC TỐT!!!!!!

 a, = 13/15 + 13/35 + 13/63 + 13/99

    = 13.( 1/15 + 1/35 + 1/63 + 1/99 )

   = 13.( 1/ 3.5 + 1/5.7 + 1/7.9 + 1/ 9.11)

 = 13 . ( 1/3 - 1/5 +1/5 - 1/7 + 1/7 - 1/9 + 1/9 - 1/11)

 = 13 . ( 1/3 - 1/11)

= 13 . 3/11 = 39/11