Thực hiện phép tính hợp lí:
a) (9/25-2.18) : (19/5+0.2)
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(\(\dfrac{9}{25}\) - 2.18) : (\(\dfrac{19}{5}\) + 0,2)
=(\(\dfrac{9}{25}\) - 2.18) : (\(\dfrac{19}{5}\) +\(\dfrac{1}{5}\) )
=(\(\dfrac{9}{25}\)- 36) : 4
=\(\dfrac{-117}{5}\) : 4
= \(\dfrac{-117}{20}\)
(\(\dfrac{9}{25}\)-2.18) : (\(\dfrac{19}{5}\) +0,2)
= (\(\dfrac{9}{25}\)- 2.18) : (\(\dfrac{19}{5}\)+\(\dfrac{1}{5}\))
= (\(\dfrac{9}{25}\)-36): 4
= \(\dfrac{-891}{25}\):4
=\(\dfrac{-891}{100}\)
\(\left(\frac{9}{25}-2.18\right):\left(3\frac{4}{5}-0,2\right)\)
= -1,82:4=-0,455
\(\left(\frac{9}{15}-2,18\right):\left(3\frac{4}{5}+0,2\right)=\left(0,6-2,18\right):\left(3,8+0,2\right)=-1,58:4=-0,395\)
\(\dfrac{5}{3}\cdot\dfrac{7}{25}+\dfrac{5}{3}\cdot\dfrac{21}{25}-\dfrac{5}{3}\cdot\dfrac{7}{25}\)
\(=\dfrac{5}{3}\cdot\left(\dfrac{7.}{25}+\dfrac{21}{25}-\dfrac{7}{25}\right)\)
\(=\dfrac{5}{3}\cdot\dfrac{21}{25}=\dfrac{7}{5}\)
b) \(250\%+19\dfrac{3}{11}\cdot\dfrac{7}{26}-6\dfrac{3}{11}\cdot\dfrac{7}{26}\)
\(=\dfrac{5}{2}+\dfrac{212}{11}\cdot\dfrac{7}{26}-\dfrac{69}{11}\cdot\dfrac{7}{26}\)
\(=\dfrac{7}{26}\cdot\left(\dfrac{212}{11}-\dfrac{69}{11}\right)+\dfrac{5}{2}\)
\(=\dfrac{7}{26}\cdot13+\dfrac{5}{2}\)
\(=\dfrac{7}{2}+\dfrac{5}{2}\)
\(=\dfrac{12}{2}=6\)
a) \(=-\frac{91}{50}:4\)
\(=-\frac{91}{200}\)
b) \(=\frac{5}{18}-\frac{26}{5}+\frac{18}{5}\)
\(=-\frac{119}{90}\)
\(\left(\frac{9}{25}-2,18\right):\left(3\frac{4}{5}+0,2\right)\)
\(=\left(-1,82\right):4\)
\(=-0,455\)
\(\dfrac{4}{5}\)+\(\dfrac{-5}{4}\)=\(\dfrac{0}{4}\)
\(\dfrac{-1}{3}\)+\(\dfrac{2}{5}-\dfrac{5}{6}\)=\(\dfrac{-10}{30}+\dfrac{12}{30}-\dfrac{25}{30}\)=\(\dfrac{-23}{30}\)
\(\dfrac{2}{3}-\dfrac{5}{7}.\dfrac{14}{25}\)=\(\dfrac{2}{3}-\dfrac{2}{5}\)=\(\dfrac{10}{15}-\dfrac{6}{15}\)=\(\dfrac{4}{15}\)
\(\left(\dfrac{9}{25}-2.8\right):\left(\dfrac{19}{5}+0.2\right)\)
\(=\left(\dfrac{9}{25}-\dfrac{14}{5}\right):\left(\dfrac{19}{5}+\dfrac{1}{5}\right)\)
\(=\left(\dfrac{9-70}{25}\right):4\)
\(=\dfrac{-61}{25}:4=\dfrac{-61}{25}.\dfrac{1}{4}\)
\(=-\dfrac{61}{100}\)
\(\left(\dfrac{9}{25}-2.18\right):\left(\dfrac{19}{5}+0,2\right)\)
\(=\left(\dfrac{9}{25}-36\right):\left(\dfrac{19}{5}+0,2\right)\)
\(=\dfrac{-891}{25}:4=\dfrac{-891}{100}\)