Simplify: \(\dfrac{2\tfrac{1}{2}+\tfrac{1}{5}}{2\tfrac{1}{2}\div\tfrac{1}{5}}\)
\(\dfrac{27}{125}\)
Numerator: \(2\tfrac{1}{2}+\tfrac{1}{5}=\dfrac{5}{2}+\dfrac{1}{5}=\dfrac{27}{10}\). Denominator: \(\dfrac{5}{2}\div\dfrac{1}{5}=\dfrac{5}{2}\times5=\dfrac{25}{2}\). So result = \(\dfrac{27}{10}\div\dfrac{25}{2}=\dfrac{27}{10}\times\dfrac{2}{25}=\dfrac{54}{250}=\dfrac{27}{125}\).