Question

a parent needs \\(\frac{1}{4}\\) cup of lemonade mix to make one pitcher of lemonade. she has \\(\frac{1}{3}\\) cup of lemonade mix.\
which of the following expressions represents the number of pitchers of lemonade that the parent can make with \\(\frac{1}{3}\\) cup of lemonade mix?\
\\(\bigcirc\\) a. \\(\frac{1}{3} \times \frac{1}{4}\\)\
\\(\bigcirc\\) b. \\(\frac{1}{3} \div \frac{1}{4}\\)\
\\(\bigcirc\\) c. \\(\frac{1}{4} \div \frac{1}{3}\\)\
\\(\bigcirc\\) d. \\(\frac{1}{4} \div \frac{1}{3}\\)

Explanation:

Step1: Understand the core logic

To find the number of pitchers, we calculate how many times the amount per pitcher ($\frac{1}{4}$ cup) fits into the total mix available ($\frac{1}{3}$ cup). This requires division.

Step2: Match to the expression

The total mix divided by mix per pitcher gives the number of pitchers: $\frac{1}{3} \div \frac{1}{4}$

Answer:

B. $\frac{1}{3} \div \frac{1}{4}$