Question

what does the complex fraction \\(\frac{\frac{20}{3}}{\frac{1}{6}}\\) represent? \\(\frac{\frac{20}{3}}{\frac{1}{6}}\\) is the unit rate in miles per gallon. what is the suv’s gas mileage in miles per gallon? \\(\frac{\frac{20}{3}}{\frac{1}{6}}=\square\\)

Explanation:

Step1: Recall dividing by a fraction rule

Dividing by a fraction is the same as multiplying by its reciprocal. So, \(\frac{\frac{20}{3}}{\frac{1}{6}}=\frac{20}{3}\times\frac{6}{1}\)

Step2: Simplify the multiplication

First, simplify \(\frac{6}{3} = 2\), then multiply \(20\times2\). So, \(\frac{20}{3}\times\frac{6}{1}=20\times2 = 40\)

Answer:

\(40\)