Question

How can I solve this?

Answer 1

`\stackrel{mixed}{1(2)/(3)}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{w}{4}~~ = ~~\cfrac{2}{~~1 (2 )/(3 ) ~~}\implies \cfrac{w}{4}~~ = ~~\cfrac{2}{~~ (5 )/(3 ) ~~}\implies \cfrac{w}{4}~~ = ~~\cfrac{(2)/(1)}{~~ (5 )/(3 ) ~~}\implies \cfrac{w}{4}=\cfrac{2}{1}\cdot \cfrac{3}{5} \\\\\\ \cfrac{w}{4}=\cfrac{6}{5}\implies 5w=24\implies w=\cfrac{24}{5}\implies {\Large \begin{array}{llll} w=4(4)/(5) \end{array}}`