Answer:
The amount of milk that will be needed for each cup of flour is:
[tex]\frac{3}{4}\text{ cups of milk}[/tex]Explanation:
Given that;
A recipe requires 1 1/4 cups of milk for every 1 2/3 cups of flour.
[tex]1\frac{1}{4}\text{ cups of milk }\rightarrow1\frac{2}{3}\text{ cups of flour}[/tex]we want to find the amount of milk that will be requires for each cup of flour.
we can get that by dividing both sides by 1 1/3;
[tex]\begin{gathered} \frac{1\frac{1}{4}\text{ }}{1\frac{2}{3}}\text{cups of milk }\rightarrow\frac{1\frac{2}{3}\text{ }}{1\frac{2}{3}}\text{cups of flour} \\ \frac{\frac{5}{4}\text{ }}{\frac{5}{3}}\text{cups of milk }\rightarrow1\text{ cups of flour} \\ \frac{5}{4}\text{ }\times\frac{3}{5}\text{cups of milk }\rightarrow1\text{ cups of flour} \\ \frac{3}{4}\text{ cups of milk }\rightarrow1\text{ cups of flour} \end{gathered}[/tex]Therefore, the amount of milk that will be needed for each cup of flour is;
[tex]\frac{3}{4}\text{ cups of milk}[/tex]