#### Answer

$Estimate: 38$
$Exact: \displaystyle 38\frac{1}{9}$

#### Work Step by Step

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.