## Prealgebra (7th Edition)

To round a mixed number to the nearest whole number we must determine whether the fraction is less than $\frac{1}{2}$. If the fraction is not less than one half, the whole number is rounded up by adding one to the whole number. The fraction is dropped. $\frac{1}{2}=\frac{6}{12}$ $\frac{11}{12}\geq\frac{6}{12}$, so $\frac{11}{12}\geq\frac{1}{2}$ Since $\frac{11}{12}$ is not less than $\frac{1}{2}$, $5\frac{11}{12}$ rounds up to 6.