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A.\(=\frac{17}{25}\times\left(\frac{13}{19}+\frac{6}{19}\right)\)
\(=\frac{17}{25}\times1\)
\(=\frac{17}{25}\)
B\(=\frac{47}{19}:\left(\frac{15}{32}-\frac{15}{17}\right)\)
\(=\frac{47}{19}:1\)
\(=\frac{47}{19}\)
\(\frac{5}{22}\cdot\frac{33}{17}+\frac{15\cdot101}{34}-\frac{30}{34}=\frac{5\cdot11\cdot3}{17\cdot11\cdot2}+\frac{15\cdot101-15\cdot2}{34}=\frac{15}{34}+\frac{15.99}{34}\)
=100*15/34=1500/34 (bấm máy tính) = 44.1176471....
\(\frac{5}{6}+\frac{7}{13}+\frac{17}{9}+\frac{19}{13}+\frac{1}{9}+\frac{7}{6}\)
\(=\left(\frac{5}{6}+\frac{7}{6}\right)+\left(\frac{17}{9}+\frac{1}{9}\right)+\left(\frac{19}{13}+\frac{7}{13}\right)\)
\(=\frac{12}{6}+\frac{18}{9}+\frac{26}{13}\)
\(=2+2+2\)
\(=4+2\)
\(=6\)
\(\frac{5}{6}+\frac{7}{13}+\frac{17}{9}+\frac{19}{13}+\frac{1}{9}+\frac{7}{6}.\)
\(=\left(\frac{5}{6}+\frac{7}{6}\right)+\left(\frac{7}{13}+\frac{19}{13}\right)+\left(\frac{17}{9}+\frac{1}{9}\right)\)
\(=\frac{12}{6}+\frac{26}{13}+\frac{18}{9}\)
\(=2+2+2\)
\(=6\)
3/5*8 + 3/8*11 + ... + 3/17*20
= 1/5 - 1/8 + 1/8 - 1/11 + ... + 1/17 - 1/20
= 1/5 - 1/20
= 3/20
= 2 ( 1/2 x 4 + 1/4 x 6 + .... + 1/2014 x 2016 )
= 4 ( 1/2 - 1/4 + 1/4 - 1/6 + .... + 1/2014 - 1/2016 )
= 4 ( 1/2 - 1/2016 )
= 4 x 1507/2016
= 1507/504
= 2( 1/2*4 + 1 /4*6 +...+1/2014*2016)
=4(1/2-1/4+1/4-1/6+...+1/2014-1/2016)
=4(1/2-1/2016)
=4*1507/2016
= tu tinh nghen
\(2\times4\times6\times8=8\times48=384\)
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