Answer
Estimate: 47$\times$9 = 423 miles
Exact: $413\frac{7}{8}$ miles
Work Step by Step
We know that car can go $47\frac{3}{10}$ miles per gallon. and tank has the capacity of $8\frac{3}{4}$ gallons.
Now, we need to find the how many miles the car would go for the full tank. then we need to multiply the miles per gallon to the capacity of the tank. i.e. = $47\frac{3}{10} \times 8\frac{3}{4}$ miles.
Now, Let's find Estimate :
$47\frac{3}{10} $ (round off) 47
$8\frac{3}{4}$ (round off) 9
i.e. $47\frac{3}{10} \times 8\frac{3}{4}$ miles = 47$\times$9 = 423 miles
Now Let's find Exact:
$47\frac{3}{10} \times 8\frac{3}{4}$ miles.
= $\frac{47\times10+3}{10} \times \frac{8\times4+3}{4}$ miles.
= $\frac{473}{10} \times \frac{35}{4}$ miles.
= $\frac{473}{2} \times \frac{7}{4}$ miles.
= $\frac{3311}{8}$ miles
= $413\frac{7}{8}$ miles
