A recipe requires \( \frac{3}{4} \) of a cup of milk for every \( 1 \frac{1}{2} \) cups of flour. What is the ratio of cups of milk to one cup of flour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
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To find the ratio of cups of milk to one cup of flour, we first need to establish the relationship given in the recipe: - Milk: \( \frac{3}{4} \) cup - Flour: \( 1 \frac{1}{2} \) cups, which is equivalent to \( \frac{3}{2} \) cups of flour. Now, we can set up the ratio: \[ \text{Ratio} = \frac{\text{Milk}}{\text{Flour}} = \frac{\frac{3}{4}}{\frac{3}{2}}. \] Dividing by a fraction is the same as multiplying by its reciprocal: \[ \frac{3}{4} \times \frac{2}{3} = \frac{3 \times 2}{4 \times 3} = \frac{6}{12} = \frac{1}{2}. \] So, the ratio of cups of milk to one cup of flour is \( \frac{1}{2} \).