Basic College Mathematics (10th Edition)

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

Chapter 2 - Multiplying and Dividing Fractions - 2.2 Mixed Numbers - 2.2 Exercises - Page 123: 5

Answer

False

Work Step by Step

One way to convert a mixed number into an improper fraction is to multiply the whole part of the mixed number by the denominator of the fraction part and adding the numerator to the product, and then putting the total over the denominator. $(6\times2) +1=13$, so $6\frac{1}{2}$ is $\frac{13}{2}$, not $\frac{12}{2}$. A faster way to tell that this statement is false is that $12\div2$ is equal to $6$, not $6\frac{1}{2}$.
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