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=2008/2009-2009/2008+1/2009+2007/2008
=(2008/2009+1/2009)-(2009/2008-2007/2008)
=1-1/1004
=1003/1004
\(\frac{2008}{2009}-\frac{2009}{2008}+\frac{1}{2009}+\frac{2007}{2008}\)
=\(\left(\frac{2008}{2009}+\frac{1}{2009}\right)-\left(\frac{2009}{2008}-\frac{2007}{2008}\right)\)
=\(1-\frac{2}{2008}\)
=\(1-\frac{1}{1004}\)
=\(\frac{1003}{1004}\)
Chúc bn làm tốt nha!!!
\(A=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{30}+...+\frac{1}{72}+\frac{1}{81}\)
\(A=\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+...+\frac{1}{8\times9}+\frac{1}{81}\)
\(A=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{8}-\frac{1}{9}+\frac{1}{81}\)
\(A=1-\frac{1}{9}+\frac{1}{81}=\frac{73}{81}\)
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{81}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{8.9}+\frac{1}{81}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{8}-\frac{1}{9}+\frac{1}{81}\)
\(=1-\frac{1}{9}+\frac{1}{81}\)
\(=\frac{8}{9}+\frac{1}{81}\)
\(=\frac{73}{81}\)
\(=\left(\frac{1}{5}+\frac{1}{10}\right)+\frac{1}{9}+\frac{1}{41}+\frac{1}{42}\)
\(=\frac{3}{10}+\frac{1}{9}+\frac{1}{41}+\frac{1}{42}\)
\(=\frac{5932}{12915}\)
Bài 1 :
\(S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2010}-\frac{1}{2011}\)
\(S=\frac{1}{1}-\frac{1}{2011}=\frac{2010}{2011}\)
Bài 2 :
\(S=\frac{1}{10}-\frac{1}{13}+\frac{1}{13}-\frac{1}{16}+\frac{1}{16}-\frac{1}{19}+...+\frac{1}{58}-\frac{1}{61}\)
\(S=\frac{1}{10}-\frac{1}{61}=\frac{51}{610}\)
Bài 3 :
\(3S=\frac{3}{4\times7}+\frac{3}{7\times11}+...+\frac{3}{19\times22}\)
\(3S=\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+...+\frac{1}{19}-\frac{1}{22}\)
\(3S=\frac{1}{4}-\frac{1}{22}\)
\(S=\frac{18}{88}\div3=\frac{6}{88}\)
a) \(A=10-1\frac{1}{6}.\frac{6}{7}\)
\(=10-\frac{7}{6}.\frac{6}{7}\)
\(=10-1=9\)
b) \(B=21:\frac{11}{2}+5\frac{2}{11}\)
\(=\frac{42}{11}+\frac{57}{11}=9\)
c) \(A=9;B=9\)
\(A.B=9.9=81\)
d) \(A=9;B=9\)
\(A:B=9:9=1\)
a) A = \(10-1\frac{1}{6}\times\frac{6}{7}\)= \(10-\frac{7}{6}\times\frac{6}{7}\)= 10 - 1 = 9
b) B = \(21:\frac{11}{2}+5\frac{2}{11}\)= \(\frac{42}{11}+\frac{57}{11}\)= 9
c) A x B = 9 x 9 = 81
c) A : B = 9 : 9 = 1
6x8x12x16
4x12x8x6
16
4
4
\(\frac{6\times8\times12\times16}{4\times12\times8\times6}\)
\(=\frac{16}{4}\)
\(=4\)