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a: \(=\dfrac{11}{125}-\dfrac{17}{18}+\dfrac{8}{18}-\dfrac{10}{14}+\dfrac{17}{14}\)
\(=\dfrac{11}{125}-\dfrac{1}{2}+\dfrac{1}{2}=\dfrac{11}{125}\)
b: \(=\left(1+2+3+4-1\right)+\left(-\dfrac{1}{2}-\dfrac{2}{3}\right)=9-\dfrac{5}{6}=\dfrac{49}{6}\)
c: \(A=26:\left(6+\dfrac{1}{2}\right)=26:\dfrac{13}{2}=4\)
\(\left(\frac{2}{5}\right)^6.\left(\frac{25}{4}\right)^2\)
\(=\left[\left(\frac{2}{5}\right)^3\right]^2.\left(\frac{25}{4}\right)^2\)
\(=\left[\left(\frac{2}{5}\right)^3.\frac{25}{4}\right]^2\)
\(=\left[\frac{8}{125}.\frac{25}{4}\right]^2\)
\(=\left(\frac{2}{5}\right)^2\)
\(=\frac{4}{25}\)
\(15\frac{1}{5}:\left(\frac{-5}{7}\right)-25\frac{1}{5}.\left(\frac{-7}{5}\right)\)
\(=15\frac{1}{5}.\frac{-7}{5}-25\frac{1}{5}.\frac{-7}{5}\)
\(=\frac{-7}{5}\left(15\frac{1}{5}-25\frac{1}{5}\right)\)
\(=\frac{-7}{5}.\left(-10\right)\)
\(=14\)
\(a.\frac14-\frac56+\frac{7}{12}\)
\(=\frac{3}{12}-\frac{10}{12}+\frac{7}{12}\)
\(=\frac{0}{12}=0\)
\(b.6\frac27\cdot\frac15-1\frac27\cdot\frac15+\frac45\)
\(=\frac{44}{7}\cdot\frac15-\frac97\cdot\frac15+\frac45\)
\(=\frac15\cdot\left(\frac{44}{7}-\frac97\right)+\frac45\)
\(=\frac15\cdot\frac{35}{7}+\frac45\)
\(=\frac15\cdot5+\frac45\)
\(=1+\frac45=\frac95\)
\(a.0,\left(13\right)+1,\left(86\right)-\frac{5}{7} \)
\(=86-\frac{5}{7}\)
\(=\frac{602}{7}-\frac{5}{7}\)
\(=\frac{597}{7}\)
\(b.\left[0,\left(4\right)\right]^2-\frac{1}{81}+\frac{22}{27}\)
\(=0-\frac{1}{81}+\frac{66}{81}\)(ở đây quy đồng mẫu số )
\(=-\frac{1}{81}-\frac{66}{81}\)
\(=-\frac{67}{81}\)
Học tốt!!
#Minkk!