Answer
$20\frac{17}{30}$
Work Step by Step
To convert a mixed fraction to an improper fraction, multiply the whole number by the denominator then add the numerator, write the result over the original denominator.
$16\frac{9}{10}+3\frac{2}{3}=\frac{16*10+9}{10}+\frac{3*3+2}{3}=\frac{169}{10}+\frac{11}{3}$
Then write each fraction as an equivalent fraction with
the LCD as denominator, and then add the numerators.
$\frac{169}{10}+\frac{11}{3}=\frac{507}{30}+\frac{110}{30}=\frac{507+110}{30}=\frac{617}{30}=20\frac{17}{30}$