First, convert the mixed number \(2 \frac{9}{10}\) to an improper fraction. \[ 2 \frac{9}{10} = \frac{2 \times 10 + 9}{10} = \frac{29}{10} \]
Multiply the whole number \(4\) by the improper fraction \(\frac{29}{10}\). \[ 4 \times \frac{29}{10} = \frac{4 \times 29}{10} = \frac{116}{10} \]
Simplify \(\frac{116}{10}\) to a mixed number. \[ \frac{116}{10} = 11 \frac{6}{10} = 11 \frac{3}{5} \]
\[ \boxed{11 \frac{3}{5}} \]
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