Multiply Each side of the equation by 3
$${\mathtt{3}}{\mathtt{\,\times\,}}\left({\mathtt{4}}{w}\right) = {\mathtt{3}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{2}}}{{\mathtt{3}}}}\right)$$ ---> $${\mathtt{12}}{w} = {\mathtt{2}}$$
Divide both sides by 12 to solve for w
$${\frac{\left({\mathtt{12}}{w}\right)}{{\mathtt{12}}}} = {\frac{\left({\mathtt{2}}\right)}{{\mathtt{12}}}}$$ ---> $${\mathtt{w}} = {\frac{{\mathtt{2}}}{{\mathtt{12}}}}$$
Simplify
$${\frac{{\mathtt{2}}}{{\mathtt{12}}}} = {\frac{{\mathtt{1}}}{{\mathtt{6}}}}$$
Your final anwer is
$${\mathtt{w}} = {\frac{{\mathtt{1}}}{{\mathtt{6}}}}$$
