## Basic College Mathematics (10th Edition)

Estimate: 47$\times$9 = 423 miles Exact: $413\frac{7}{8}$ miles
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