Question

\(\dfrac{2}{3}\)x :\(\dfrac{1}{5}\)=\(1\dfrac{1}{3}\):25%

Answer 1

\(\dfrac{2}{3}x:\dfrac{1}{5}=1\dfrac{1}{3}:25\%\)

\(\Leftrightarrow\dfrac{2}{3}x\times5=\dfrac{4}{3}:\dfrac{1}{4}\)

\(\Leftrightarrow\dfrac{2}{3}x\times5=\dfrac{4}{3}\times4\)

\(\Leftrightarrow\dfrac{2}{3}x\times5=\dfrac{16}{3}\)

\(\Leftrightarrow\dfrac{10}{3}x=\dfrac{16}{3}\)

\(\Leftrightarrow x=\dfrac{16}{3}:\dfrac{10}{3}\)

\(\Leftrightarrow x=\dfrac{16}{3}\times\dfrac{3}{10}\)

\(\Leftrightarrow x=\dfrac{8}{5}\)