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\(=\frac{1}{1x3}+\frac{1}{3x5}+\frac{1}{5x7}+...+\frac{1}{2013x2015}\)
\(=\frac{1}{2}x\left(\frac{2}{1x3}+\frac{2}{3x5}+\frac{2}{5x7}+...+\frac{2}{2013x2015}\right)\)
\(=\frac{1}{2}x\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{2013}-\frac{1}{2015}\right)\)
\(=\frac{1}{2}x\left(1-\frac{1}{2015}\right)\)
\(=\frac{1}{2}x\frac{2014}{2015}\)
\(=\frac{1007}{2015}\)
1/1-1/3+1/3-1/5+1/5-1/7+....+1/2013-1/2015
=1/1-1/2015
=2014/2015


\(=\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+...+\dfrac{1}{19}-\dfrac{1}{20}\)
\(=\dfrac{1}{4}-\dfrac{1}{20}=\dfrac{5-1}{20}=\dfrac{4}{20}=\dfrac{1}{5}\)

\(\frac{8}{1}\); \(\frac{14}{1}\)\(\frac{32}{1}\)\(\frac{0}{1}\)\(\frac{1}{1}\)


a) $1 - \frac{1}{3} = \frac{3}{3} - \frac{1}{3} = \frac{{3 - 1}}{3} = \frac{2}{3}$
b) $1 - \frac{6}{9} = \frac{9}{9} - \frac{6}{9} = \frac{{9 - 6}}{9} = \frac{3}{9} = \frac{1}{3}$
c) $2 - \frac{2}{5} = \frac{{10}}{5} - \frac{2}{5} = \frac{{10 - 2}}{5} = \frac{8}{5}$


$5 = \frac{5}{1}$ ; $14 = \frac{{14}}{1}$ ; $327 = \frac{{327}}{1}$
$1 = \frac{1}{1}$ ; $0 = \frac{0}{1}$
\(5=\dfrac{5}{1}\)
\(14=\dfrac{14}{1}\)
\(327=\dfrac{327}{1}\)
\(1=\dfrac{1}{1}\)
\(0=\dfrac{0}{1}\)
=23
nha
1^8 nha bạn