Question

a salad dressing recipe includes \\(\frac{4}{5}\\) cup of lime juice for every 2 cups of greek yogurt. what is the rate in cups of lime juice per cup of greek yogurt? \\(\square\\) c of lime juice per c of yogurt

Explanation:

Step1: Set up rate calculation

We need to find lime juice per 1 cup of yogurt, so divide the given lime juice by the given yogurt amount:
$\frac{\frac{4}{5}}{2}$

Step2: Simplify the division

Dividing by 2 is the same as multiplying by $\frac{1}{2}$:
$\frac{4}{5} \times \frac{1}{2} = \frac{4}{10} = \frac{2}{5}$

Answer:

$\frac{2}{5}$ c of lime juice per c of yogurt