Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 5 - Ratio and Proportion - 5.4 Solving Problems - 5.4 Exercises - Page 357: 29

Answer

1. $\frac{5}{2}\ne$ (is not equal to) $\frac{5}{4}$ 2. $\frac{10}{4}$ $=$ $\frac{20}{8}$ $=$ $\frac{30}{12}$ $=$ $\frac{40}{16}$ $= \frac{50}{20}$

Work Step by Step

1. This is not true because $\frac{10\div2}{4\div2} = \frac{5}{2}$ which is not equal to $ \frac{5}{4}$ 2. To make true proportions, we must multiply the fraction by the same number on both sides $\frac{10}{4}$ $=$ $\frac{10\times2}{4\times2}$ $=$ $\frac{20}{8}$ $\frac{10}{4} = \frac{10\times3}{4\times3} = \frac{30}{12}$ $\frac{10}{4} = \frac{10\times4}{4\times4} = \frac{40}{16}$ $\frac{10}{4} = \frac{10\times5}{4\times5} = \frac{50}{20}$
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