Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

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


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
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