## Basic College Mathematics (10th Edition)

Published by Pearson

# Chapters 1-3 - Adding and Subtracting Fractions - Cumulative Review - Page 262: 13

#### 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

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.