Question

some randomly selected people were interviewed about their favorite ice cream flavors. favorite ice cream flavors rocky road 1/3 black raspberry 1/2 peanut butter cup 1/6 which list is arranged from favorite flavor to least favorite flavor? rocky road, peanut butter cup, black raspberry black raspberry, peanut butter cup, rocky road black raspberry, rocky road, peanut butter cup rocky road, black raspberry, peanut butter cup

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