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a) \(\dfrac{4}{6}+\dfrac{7}{13}+\dfrac{17}{9}-\dfrac{8}{9}+\dfrac{14}{6}+\dfrac{19}{13}\)
\(=\dfrac{2}{3}+\dfrac{7}{13}+\dfrac{17}{9}-\dfrac{8}{9}+\dfrac{7}{3}+\dfrac{19}{13}\)
\(=\left(\dfrac{2}{3}+\dfrac{7}{3}\right)+\left(\dfrac{7}{13}+\dfrac{19}{13}\right)+\left(\dfrac{17}{9}-\dfrac{8}{9}\right)\)
\(=\dfrac{9}{3}+\dfrac{26}{13}+\dfrac{9}{9}\)
\(=3+2+1\)
\(=6\)
b) \(\dfrac{328}{435}\times\dfrac{468}{432}\times\dfrac{435}{164}\times\dfrac{432}{984}\times\dfrac{164}{468}\)
\(=\dfrac{328\times468\times435\times432\times164}{435\times432\times164\times984\times468}\)
\(=\dfrac{328}{984}\)
\(=\dfrac{1}{3}\)
\(\frac{328}{435}\cdot\frac{468}{432}\cdot\frac{435}{164}\cdot\frac{432}{984}\cdot\frac{164}{468}\)
\(=\frac{328}{984}\)
\(=\frac{1}{3}\)
\(\left(\frac{19}{13}+\frac{7}{13}\right)+\left(\frac{1}{9}+\frac{17}{9}\right)+\frac{14}{16}\)
= \(\frac{16}{13}+\frac{18}{9}+\frac{14}{16}\)
= \(\frac{42}{13}+\frac{14}{16}\)
= \(\frac{427}{104}\)
=(19/13 + 7/13 ) + (14/6 +4/6 ) +(1/9 +17/9 )
=26/13 +18/6 +18/9
=2 +3 + 2
=7
a)
= (4/6+14/6)+(7/13+19/13)-(17/9-8/9)
= 3 + 2 - 1
= 4 ( Thể : 5-1 Xuống dòng = 4)
#)Giải :
Đặt \(A=\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\)
\(A=\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\)
\(A=\frac{1}{5}-\frac{1}{10}\)
\(A=\frac{1}{10}\)
