Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 2 - Multiplying and Dividing Fractions - 2.5 Multiplying Fractions - 2.5 Exercises: 50

Answer

The two ranches have equal areas.

Work Step by Step

RECALL: The area $A$ of a rectangle is given by the formula $A= l \times w$ where $l$=length and $w$=width. Solve for the area of each ranch using the formula above to obtain: $\bf \text{Rocking Horse Ranch}$: $\require{cancel} A=\dfrac{3}{4} \times \dfrac{2}{3} \\A= \dfrac{\cancel{3}}{\cancel{4}2} \times \dfrac{\cancel{2}}{\cancel{3}} \\A=\dfrac{1}{2} \text{ square miles}$ $\bf \text{Silver Spur Ranch}$: $\require{cancel} A=\dfrac{5}{8} \times \dfrac{4}{5} \\A= \dfrac{\cancel{5}}{\cancel{8}2} \times \dfrac{\cancel{4}}{\cancel{5}} \\A=\dfrac{1}{2} \text{ square miles}$ The ranches have the same area.
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