Question

Answer 1

\(\left(\dfrac{11}{12}x-1\right):\left(\dfrac{2}{3}\cdot\dfrac{15}{8}\right)=\dfrac{4}{9}:\dfrac{2}{3}\)

=>\(\left(\dfrac{11}{12}x-1\right):\dfrac{30}{24}=\dfrac{4}{9}\cdot\dfrac{3}{2}=\dfrac{12}{18}=\dfrac{2}{3}\)

=>\(\dfrac{11}{12}\cdot x-1=\dfrac{2}{3}\cdot\dfrac{5}{4}=\dfrac{10}{12}=\dfrac{5}{6}\)

=>\(\dfrac{11}{12}x=\dfrac{5}{6}+1=\dfrac{11}{6}\)

=>\(x=\dfrac{11}{6}:\dfrac{11}{12}=2\)