Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 6 - Percent - 6.2 Percents and Fractions - 6.2 Exercises - Page 399: 67

Answer

decimal 3.25 percent 325%

Work Step by Step

Use division to convert a fraction to a decimal Change the mixed number to an improper fraction then divide the numerator by the denominator. $3\frac{1}{4} = \frac{13}{4}$ $\ \ \ \ \ \ \ 3.25$ $4\overline{ )\ 13.00}$ $\ \ \ \ \ \underline{12}$ $\ \ \ \ \ \ \ 10$ $\ \ \ \ \ \ \ \ \underline{8}$ $\ \ \ \ \ \ \ \ \ 20$ $\ \ \ \ \ \ \ \ \ \underline{20}$ $\ \ \ \ \ \ \ \ \ \ \ 0$ Use proportions to convert a fraction to a decimal. Change the mixed number to an improper fraction $3\frac{1}{4} = \frac{13}{4}$ $\frac{13}{4} = \frac{x}{100}$ $4x = 13\times100$ $\frac{4x}{4} = \frac{1300}{4}$ $x = 325$
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