## Basic College Mathematics (9th Edition)

$Estimate: 38$ $Exact: \displaystyle 38\frac{1}{9}$
We need to add the following fractions: $\displaystyle 22\frac{2}{3}+15\frac{4}{9}$ First we estimate the answer by rounding: $\displaystyle 22\frac{2}{3}+15\frac{4}{9}$ $\approx 23+15$ $\approx 38$ Next, we obtain the exact answer: $\displaystyle 22\frac{2}{3}+15\frac{4}{9}$ $=\displaystyle 22\frac{6}{9}+15\frac{4}{9}$ $=\displaystyle 37\frac{10}{9}$ $=\displaystyle 38\frac{1}{9}$ The exact result is fairly close to the estimate.