some randomly selected people were interviewed about their favorite ice cream flavors. favorite ice cream…

Explanation:

Step1: Compare the fractions

We have fractions for each flavor: Rocky road is $\frac{1}{3}$, Black raspberry is $\frac{1}{2}$, and Peanut butter cup is $\frac{1}{6}$. We need to find a common - denominator. The common denominator of 3, 2, and 6 is 6.

Step2: Rewrite the fractions with the common denominator

$\frac{1}{3}=\frac{1\times2}{3\times2}=\frac{2}{6}$, $\frac{1}{2}=\frac{1\times3}{2\times3}=\frac{3}{6}$, $\frac{1}{6}$ remains as $\frac{1}{6}$.

Step3: Arrange the fractions in descending order

Since $\frac{3}{6}>\frac{2}{6}>\frac{1}{6}$, then $\frac{1}{2}>\frac{1}{3}>\frac{1}{6}$. So the order from favorite to least favorite is Black raspberry, Rocky road, Peanut butter cup.

Answer:

black raspberry, rocky road, peanut butter cup