Answer: \(\frac{285}{302}\)
Step-by-step explanation:
The first step is to turn the mixed numbers into whole numbers:
\(50\frac{1}{3}=\frac{(50*3)+1}{3}=\frac{151}{3}\\ \\47\frac{1}{2}=\frac{(47*2)+1}{2} = \frac{95}{2}\)
Then, to solve the problem you can use a simple rule of three:
151/3 miles ---------- 1 h
95/2 miles ---------- x
\(x=\frac{\frac{95}{2}*1 }{\frac{151}{3} } =\frac{3*95}{2*151} =\frac{285}{302}\)
So, the car will take \(\frac{285}{302}\) hours to go \(47\frac{1}{2}\) miles.
