A= 20/21.27/28.35/36...1325/1326 
= 40/42.54/56.70/72...2650/2652 
=5.8.6.9.7.10.../6.7.7.8.8.9.. 

-1/12 nha ban

\(\frac{-1}{21}+\frac{-1}{28}=\frac{-4}{84}+\frac{-3}{84}=\frac{-7}{84}=\frac{-1}{12}\)

-1/21+-1/28

=-4/84+(-3/84)

=-7/84

=-1/12

28/35+21/28+7/21+1/7

=4/5+3/4+1/3+1/7

=851/420

dùng máy tính là ok mà bn.

\(\frac{28}{35}+\frac{21}{28}+\frac{9}{21}+\frac{1}{7}\)

\(=(\frac{4}{5}+\frac{3}{4})+(\frac{3}{7}+\frac{1}{7})\)

\(=\frac{31}{20}+\frac{4}{7}\)

\(=2\frac{17}{140}\)

Chúc bn học tốt!!!!

\(M=\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+...+\frac{1}{946}+\frac{1}{990}\)

\(M=\frac{2}{30}+\frac{2}{42}+...+\frac{2}{1980}\)

\(M=2\left(\frac{1}{5.6}+\frac{1}{6.7}+...+\frac{1}{44.45}\right)\)

\(M=2\left(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{44}-\frac{1}{45}\right)\)

\(M=2\left(\frac{1}{5}-\frac{1}{45}\right)\)

\(M=2\times\frac{8}{45}\)

\(M=\frac{16}{45}\)

\(M=\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+...+\frac{1}{946}+\frac{1}{990}\)

\(M=\frac{1\times2}{15\times2}+\frac{1\times2}{21\times2}+\frac{1\times2}{28\times2}+\frac{1\times2}{946\times2}+\frac{1\times2}{990\times2}\)

\(M=\frac{2}{30}+\frac{2}{42}+\frac{2}{56}+...+\frac{2}{1892}+\frac{2}{1980}\)

\(M=2\times\left(\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+...+\frac{1}{1892}+\frac{1}{1980}\right)\)

\(M=2\times\left(\frac{1}{5\times6}+\frac{1}{6\times7}+\frac{1}{7\times8}+...+\frac{1}{43\times44}+\frac{1}{44\times45}\right)\)

\(M=2\times\left(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+...+\frac{1}{43}-\frac{1}{44}+\frac{1}{44}-\frac{1}{45}\right)\)

\(M=2\times\left(\frac{1}{5}-\frac{1}{45}\right)\)

\(M=2\times\left(\frac{9}{45}-\frac{1}{45}\right)\)

\(M=2\times\frac{8}{45}\)

\(M=\frac{16}{45}\)

Chúc bạn học tốt

\(\frac{M}{2}=\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+....+\frac{1}{940}+\frac{1}{990}\)

\(\frac{M}{2}=\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+....+\frac{1}{1892}+\frac{1}{1980}\)

\(\frac{M}{2}=\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+......+\frac{1}{43.44}+\frac{1}{44.45}\)

\(\frac{M}{2}=\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+...+\frac{1}{43}-\frac{1}{44}+\frac{1}{44}-\frac{1}{45}\)

\(\frac{M}{2}=\frac{1}{5}-\frac{1}{45}=\frac{8}{54}=>M=\frac{8}{45}.2=\frac{16}{45}\)

Vậy M=16/45

\(M=\frac{2}{30}+\frac{2}{42}+...+\frac{2}{1980}\)

\(M=2\left(\frac{1}{5.6}+\frac{1}{6.7}+...+\frac{1}{44.45}\right)\)

\(M=2\left(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{44}-\frac{1}{45}\right)\)

\(M=2\left(\frac{1}{5}-\frac{1}{45}\right)\)

\(M=2\times\frac{8}{45}\)

\(M=\frac{16}{45}\)

\(M=\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+....+\frac{1}{946}+\frac{1}{990}\)

\(M=\frac{2}{30}+\frac{2}{42}+\frac{2}{56}+.....+\frac{2}{1892}+\frac{2}{1980}\)

\(M=2.\left(\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+...+\frac{1}{1892}+\frac{1}{1980}\right)\)

\(M=2.\left(\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+....+\frac{1}{43.44}+\frac{1}{44.45}\right)\)

\(M=2.\left(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+....+\frac{1}{43}-\frac{1}{44}+\frac{1}{44}-\frac{1}{45}\right)\)

\(M=2.\left(\frac{1}{5}-\frac{1}{45}\right)=2.\frac{8}{45}=\frac{16}{45}\)

Vậy M=16/45

1/15+1/21+1/28+...+1/190

=2/30+2/42+2/56+...+2/380

=2/5.6+2/6.7+2/7.8+...+2/19.20

=2.(1/5.6+1/6.7+1/7.8+...+1/19.20)

=2.(1/5-1/6+1/6-1/7+1/7-1/8 +...+1/19-1/20)

=2.(1/5-1/20)

=2.3/20

=6/20=3/10

\(C=\frac{1}{15}+\frac{1}{21}+\frac{1}{28}+...+\frac{1}{190}\)

\(C=\frac{2}{30}+\frac{2}{42}+\frac{2}{56}+...+\frac{2}{380}\)

\(C=2\left(\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+...+\frac{1}{19.20}\right)\)

\(C=2\left(\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+...+\frac{1}{19}-\frac{1}{20}\right)\)

\(C=2\left(\frac{1}{5}-\frac{1}{20}\right)\)

\(C=2\cdot\frac{3}{20}=\frac{3}{10}\)