34/15 nhân 3/17
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`15/34+7/21+9/34-1 15/17+2/3`
`=(15/34+9/34)+(7/21+2/3)-32/17`
`=12/17+1-32/17`
`=(12/17-32/17)+1`
`=-20/17+1`
`=-3/17`
=(15/34+9/34-15/17)+(1/3+2/3)
=(24/34-15/17)+1
=-3/17+1
=14/17
\(\dfrac{15}{34}-\dfrac{7}{21}+\dfrac{19}{34}-\dfrac{15}{17}-\dfrac{2}{3}\)
\(=\left(\dfrac{15}{34}+\dfrac{19}{34}\right)-\left(\dfrac{7}{21}+\dfrac{2}{3}\right)-\dfrac{15}{17}\)
\(=1-\left(\dfrac{7}{21}+\dfrac{14}{21}\right)-\dfrac{15}{17}\)
\(=1-1-\dfrac{15}{17}\)
\(=-\dfrac{15}{17}\)
\(\dfrac{15}{34}+\dfrac{7}{21}+\dfrac{19}{34}-\dfrac{32}{17}+\dfrac{2}{3}\)
\(=\left(\dfrac{15}{34}+\dfrac{19}{34}\right)+\dfrac{7}{21}+\dfrac{-32}{17}+\dfrac{2}{3}\)
\(=1+\dfrac{1}{3}+\dfrac{-32}{17}+\dfrac{2}{3}\)
\(=1+\left(\dfrac{1}{3}+\dfrac{2}{3}\right)+\dfrac{-32}{17}\)
\(=1+1+\dfrac{-32}{17}\)
\(2+\dfrac{-32}{17}=\dfrac{2}{17}\)
\(\left(\frac{9}{15}+\frac{8}{11}\right)+\frac{6}{15}=\left(\frac{9}{15}+\frac{6}{15}\right)+\frac{8}{11}\)
\(=1+\frac{8}{11}=\frac{19}{11}\)
\(\left(\frac{26}{17}+\frac{15}{34}\right)+\left(\frac{8}{17}+\frac{19}{34}\right)=\left(\frac{26}{17}+\frac{8}{17}\right)+\left(\frac{15}{34}+\frac{19}{34}\right)\)
\(=2+1=3\)
\(\left(\frac{9}{15}+\frac{8}{11}\right)+\frac{6}{15}\)
\(=\left(\frac{9}{15}+\frac{6}{15}\right)+\frac{8}{11}\)
\(=1+\frac{8}{11}\)
\(=\frac{19}{11}\)
\(\left(\frac{26}{17}+\frac{15}{34}\right)+\left(\frac{8}{17}+\frac{19}{34}\right)\)
\(=\frac{26}{17}+\frac{15}{34}+\frac{8}{17}+\frac{19}{34}\)
\(=\left(\frac{26}{17}+\frac{8}{17}\right)+\left(\frac{15}{34}+\frac{19}{34}\right)\)
\(=2+1\)
\(=3\)
\(\dfrac{15}{34}+\dfrac{7}{21}+\dfrac{19}{34}-1\dfrac{15}{17}+\dfrac{2}{3}\)
= \(\left(\dfrac{15}{34}+\dfrac{19}{34}\right)+\left(\dfrac{7}{21}+\dfrac{2}{3}\right)-1\dfrac{15}{17}\)
= \(1+\left(\dfrac{7}{21}+\dfrac{14}{21}\right)-1\dfrac{15}{17}\)
= \(1+1-1\dfrac{15}{17}\)
= \(2-1\dfrac{15}{17}\)
= \(\dfrac{2}{17}\)
\(\dfrac{34}{15}\times\dfrac{3}{17}=\dfrac{34}{17}\times\dfrac{3}{15}=2\times\dfrac{1}{5}=\dfrac{2}{5}\)
cảm ơn bạn Nguyễn Lê Phước Thịnh nhé