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4/7 + 5/6 : 5 - 0,375.(-2)2
= 4/7 + 1/6 - 3/2
= 31/42 - 3/2
= -16/21
Giải:
a) \(11\dfrac{3}{4}.\left(6\dfrac{5}{6}-4\dfrac{1}{2}+1\dfrac{2}{3}\right)\)
\(=\dfrac{47}{4}.\left(\dfrac{41}{6}-\dfrac{9}{2}+\dfrac{5}{3}\right)\)
\(=\dfrac{47}{4}.4\)
\(=47\)
b) \(\left(5\dfrac{7}{8}-2\dfrac{1}{4}-0,5\right):2\dfrac{23}{26}\)
\(=\left(\dfrac{47}{8}-\dfrac{9}{4}-\dfrac{1}{2}\right):\dfrac{75}{26}\)
\(=\dfrac{25}{8}:\dfrac{75}{26}\)
\(=\dfrac{13}{12}\)
c) \(\left(17\dfrac{13}{15}-3\dfrac{3}{7}\right)-\left(2\dfrac{12}{15}-4\right)\)
\(=\dfrac{268}{15}-\dfrac{24}{7}-\dfrac{14}{5}+4\)
\(=\left(\dfrac{268}{15}-\dfrac{14}{5}\right)+\left(\dfrac{-24}{7}+4\right)\)
\(=\dfrac{226}{15}+\dfrac{4}{7}\)
\(=\dfrac{1642}{105}\)
d) \(2\dfrac{2}{3}.\left(\dfrac{-4}{5}.0,375.-10.\dfrac{-15}{24}\right)\)
\(=\dfrac{8}{3}.\left(\dfrac{-4}{5}.\dfrac{3}{8}.-10.\dfrac{-5}{8}\right)\)
\(=\left(\dfrac{8}{3}.\dfrac{3}{8}\right).\left(\dfrac{-4}{5}.\dfrac{-5}{8}.-10\right)\)
\(=1.-5\)
\(=-5\)
Chúc bạn học tốt!
\(\frac{4}{7}+\frac{5}{6}:5-0,375.\left(-2\right)^2\)
\(=\frac{4}{7}+\frac{5}{6}\cdot\frac{1}{5}-0,375\cdot4\)
\(=\frac{4}{7}+\frac{1}{6}-\frac{3}{2}=-\frac{16}{21}\)
\(\left|\dfrac{1}{3}x-\dfrac{1}{3}\right|-\dfrac{1}{2}=1\dfrac{1}{3}\)
\(\left|\dfrac{1}{3}x-\dfrac{1}{3}\right|=1\dfrac{1}{3}+\dfrac{1}{2}=\dfrac{11}{6}\)
\(\)\(\Rightarrow\left[{}\begin{matrix}\dfrac{1}{3}x-\dfrac{1}{3}=\dfrac{11}{6}\\\dfrac{1}{3}x-\dfrac{1}{3}=-\dfrac{11}{6}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=6,5\\x=-4,5\end{matrix}\right.\)