## Basic College Mathematics (9th Edition)

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 $6\frac{1}{2}$.