Question

4/3 : 0,8 = 2/3 : 0,1x

Answer 1

\(\dfrac{4}{3}:0,8=\)\(\dfrac{2}{3}:0,1x\)

\(\dfrac{4}{3}:\dfrac{4}{5}=\dfrac{2}{3}\)\(:\dfrac{1}{10}x\)

\(\dfrac{4}{3}.\dfrac{5}{4}=\dfrac{2}{3}:\dfrac{x}{10}\)

\(\dfrac{5}{3}=\dfrac{2}{3}.\dfrac{10}{x}\)

⇒\(\dfrac{10}{x}=\dfrac{5}{3}:\dfrac{2}{3}\)\(=\dfrac{5}{3}.\dfrac{3}{2}\)\(=\dfrac{5}{2}\)

⇒\(\dfrac{10}{x}=\dfrac{5}{2}\)⇒\(x=10:\dfrac{5}{2}=10.\dfrac{2}{5}=\dfrac{20}{5}=4\)