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