The quantity of flour needed = 2 1/4
Explanation:[tex]\begin{gathered} Milk=1\frac{2}{3}flour \\ \\ Milk=\frac{5}{3}\times flour \end{gathered}[/tex][tex]\begin{gathered} Cups\text{ of milk used = 3}\frac{3}{4} \\ \\ Cups\text{ of milk used = }\frac{15}{4} \end{gathered}[/tex][tex]\begin{gathered} Milk=\frac{5}{3}\times flour \\ \\ \frac{15}{4}=\frac{5}{3}\times flour \\ \\ flour=\frac{15}{4}\div\frac{5}{3} \\ \\ flour=\frac{15}{4}\times\frac{3}{5} \\ \\ flour=\frac{9}{4} \\ \\ flour=2\frac{1}{4} \end{gathered}[/tex]The quantity of flour needed = 2 1/4