B=143/144.168/169.....6399/6400

=11.13/12.12  .    12.14/13.13  .....79.81/80.80

=11.12....79/12.13...80    .    13.14......81/12.13....80

=11/80   .   81/12=297/320

a= -1/7

b -50/21

c   1/8

d 19/56

e-13/24

f -89/312

Ta có 13x = \(\frac{13^{17}+13}{13^{17}+1}=1+\frac{12}{13^{17}+1}\)

13y = \(\frac{13^{16}+13}{13^{16}+1}=1+\frac{12}{13^{16}+1}\)

Vì 13¹⁷ + 1 > 13¹⁶ + 1

=> \(\frac{1}{13^{17}+1}< \frac{1}{13^{16}+1}\)

=> \(\frac{12}{13^{17}+1}< \frac{12}{13^{16}+1}\)

=> \(1+\frac{12}{13^{17}+1}< 1+\frac{12}{13^{16}+1}\)

=> 13x < 13y 

=> x < y

Vậy x < y

\(A=\left(1-\frac{1}{15}\right)\left(1-\frac{1}{21}\right)\left(1-\frac{1}{28}\right)...\left(1-\frac{1}{79800}\right)\)

\(A=\frac{14}{15}.\frac{20}{21}.\frac{27}{28}...\frac{209}{210}\)

\(A=\frac{28}{30}.\frac{40}{42}.\frac{54}{56}...\frac{418}{240}\)

\(A=\frac{4.7}{5.6}.\frac{5.8}{6.7}.\frac{6.9}{7.8}...\frac{19.22}{20.21}\)

\(A=\frac{4.5.6...19}{5.6.7...20}.\frac{7.8.9...22}{6.7.8...21}\)

\(A=\frac{4}{20}.\frac{22}{6}\)

\(A=\frac{11}{15}\)

TA có 13-13*1+10-10= 13- 13+10-10=0+0=0

(10*11+12*13+14*15+...+22*23+24*25)*0=0

* là dấu x nhe bạn 

thick minh nha

( 10 x 11 + 12 x 13 + 14 x 15 + ... + 22 x 23 + 24 x 25) x ( 13 - 13 x 1 + 10 -10)

= ( 10 x 11 + 12 x 13 + 14 x 15 + ... + 22 x 23 + 24 x 25) x 0

= 0

 k cho anh nha !!!!!!!!!!!!!!!! : học lớp 5 rùi

  (10 x 11 + 12 x 13 + 14 x 15 + ... + 22 x 23 + 24 x 25) x ( 13 - 13 x 1 + 10 - 10)

=( 10 x 11 + 12 x 13 + 14 x 15 + ... + 22 x 23 + 24 x 25) x 0

= 0 

tk nha

a) \(\dfrac{1}{7}< \dfrac{x}{35}< \dfrac{2}{5}\)

\(\Rightarrow\dfrac{5}{35}< \dfrac{x}{35}< \dfrac{14}{35}\)

\(\Rightarrow5< x< 14\)

b) \(\dfrac{5}{13}< 2-x< \dfrac{5}{8}\)

\(\Rightarrow2-\dfrac{5}{8}< x< 2-\dfrac{5}{13}\)

\(\Rightarrow\dfrac{11}{8}< x< \dfrac{21}{13}\)

ai mần tr mình cho tích

a) ta có:\(\dfrac{1}{7}=\dfrac{1.5}{7.5}=\dfrac{5}{35}\);\(\dfrac{2}{5}=\dfrac{2.7}{5.7}=\dfrac{14}{35}\)

\(\Rightarrow x\in\left\{6;7;8;9;10;11;12;13\right\}\)

b)ta có:\(2-x=\dfrac{5}{9};\dfrac{5}{10};\dfrac{5}{11};\dfrac{5}{12}\)

\(\Rightarrow x=2-\dfrac{5}{9};2-\dfrac{5}{10};2-\dfrac{5}{11};2-\dfrac{5}{12}\)

\(\Rightarrow x=\dfrac{13}{9};\dfrac{3}{2};\dfrac{17}{11};\dfrac{19}{12}\)