Thực hiện phép tính bằng cách hợp lí :
e, \(\frac{3}{14}\) : \(\frac{1}{28}\) - \(\frac{13}{21}\) : \(\frac{1}{28}\) + \(\frac{29}{42}\) : \(\frac{1}{28}\) - 8
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\(\left(\frac{-1}{4}+\frac{7}{33}-\frac{5}{3}\right)-\left(\frac{-5}{4}+\frac{6}{11}-\frac{48}{49}\right)=\left(\frac{-1}{4}-\frac{16}{11}\right)-\left(-\frac{31}{44}-\frac{48}{49}\right)=-\frac{1}{4}-\frac{16}{11}+\frac{31}{44}+\frac{48}{49}=-\frac{1}{49}\)
3/14:1/28-13/21:1/28+29/42:-1/28-8
=3/14.28-13/21.28+29/42.(-28)-8
=3/14.28-13/21.28+-29/42.28-8
=(3/14-13/21+ -29/42).28-8
=-23/21.28-8
=-92/3-8=-116/3
\(\frac{3}{14}:\frac{1}{28}-\frac{13}{21}:\frac{1}{28}-8=\left(\frac{3}{14}-\frac{13}{21}\right):\frac{1}{28}-8=-\frac{17}{42}.28-8=-\frac{34}{3}-8=-\frac{58}{3}\)
\(\frac{3}{14}:\frac{1}{28}-\frac{13}{21}:\frac{1}{28}-8\)
\(=\left(\frac{3}{14}-\frac{13}{21}\right):\frac{1}{28}-8\)
\(=-\frac{17}{42}:\frac{1}{28}-8\)
\(=-\frac{34}{3}-8\)
\(=-\frac{58}{3}\)
a ) \(\left(-\frac{40}{51}.0,32.\frac{17}{20}\right):\frac{64}{75}\)
\(=\left(-\frac{40}{51}.\frac{8}{25}.\frac{17}{20}\right):\frac{64}{75}\)
\(=\left(\frac{-40.8.17}{51.25.20}\right):\frac{64}{75}\)
\(=\left(\frac{-16}{75}\right).\frac{75}{64}\)
\(=\frac{-1}{1}.\frac{1}{4}=-\frac{1}{4}\)
e)
\(=28\left(\frac{3}{14}-\frac{13}{21}+\frac{29}{42}\right)-8=\frac{28.2}{7}-8=8-8=0\)
Cảm ơn bạn nhiều !!!