) Thực hiện phép tính nhanh nhất nếu có thể:
a)
\(\dfrac{2}{7}+\dfrac{7}{7}.\dfrac{14}{25}\)
b)
\(\dfrac{6}{7}+\dfrac{5}{7}:5-\dfrac{8}{9}\)
c)
\(\left(\dfrac{-5}{28}+1,75+\dfrac{8}{35}\right):\left(-3\dfrac{9}{20}\right)\)
d)\(70,5-528:\dfrac{15}{2}\)
e)\(\dfrac{-7}{25}.\dfrac{39}{-14}.\dfrac{50}{78}\)
a) \(\dfrac{2}{7}+\dfrac{7}{7}.\dfrac{14}{25}\)
\(=\dfrac{2}{7}+\dfrac{14}{25}\)
\(=\dfrac{148}{175}\)
b) \(\dfrac{6}{7}+\dfrac{5}{7}:5-\dfrac{8}{9}\)
\(=\dfrac{6}{7}+\dfrac{1}{7}-\dfrac{8}{9}\)
\(=1-\dfrac{8}{9}\)
\(=\dfrac{1}{9}\)
c) \(\left(\dfrac{-5}{28}+1,75+\dfrac{8}{35}\right):\left(-3\dfrac{9}{20}\right)\)
\(=\left(\dfrac{11}{7}+\dfrac{8}{35}\right):\left(-3\dfrac{9}{20}\right)\)
\(=\dfrac{9}{5}:\left(-3\dfrac{9}{20}\right)\)
\(=\dfrac{9}{5}:\dfrac{-69}{20}\)
\(=\dfrac{-12}{23}\)
d) \(70,5-528:\dfrac{15}{2}\)
\(=70,5-\dfrac{352}{5}\)
\(=\dfrac{1}{10}\)
e) \(\dfrac{-7}{25}.\dfrac{39}{-14}.\dfrac{50}{78}\)
\(=\dfrac{\left(-7\right).39.50}{25.\left(-14\right).78}\)
\(=\dfrac{\left(-1\right).2}{\left(-2\right).2}\)
\(=\dfrac{1}{2}\)
