Question

a recipe requires $2\frac{1}{2}$ cups of milk for every $\frac{1}{3}$ of a cup of flour. how many cups of milk are required for each cup of flour?
on the double number line below, fill in the given values, then use multiplication to find the missing value. enter your answers as whole numbers, fractions, or mixed numbers.
to enter a mixed number, press the \+\ key or click the \mixed number\ button.
double number line with cups of milk (0, box, box) and cups of flour (0, box, 1)
enter your final answer as a whole number, fraction, or mixed number in simplest form.
answer attempt 1 out of 2

Explanation:

Step1: Identify the ratio

The recipe requires \( 2\frac{1}{2} \) cups of milk for every \( \frac{1}{3} \) cup of flour. First, convert \( 2\frac{1}{2} \) to an improper fraction: \( 2\frac{1}{2}=\frac{5}{2} \).

Step2: Find milk per 1 cup of flour

To find how much milk is needed for 1 cup of flour, we need to determine how many times \( \frac{1}{3} \) cup of flour fits into 1 cup of flour. That number is \( 1\div\frac{1}{3} = 3 \). Then, multiply the amount of milk by this factor. So, the milk needed for 1 cup of flour is \( \frac{5}{2}\times3 \).

Step3: Calculate the product

\( \frac{5}{2}\times3=\frac{15}{2}=7\frac{1}{2} \).

Answer:

\( 7\frac{1}{2} \)