Convert the mixed number to an improper fraction:
\( 4 \frac{1}{6} = \frac{4 \times 6}{1} + \frac{1}{6} = \frac{24}{6} + \frac{1}{6} = \frac{25}{6} \)
Multiply the improper fraction by the whole number:
\( \frac{25}{6} \times 4 = \frac{25 \times 4}{6} \)
Simplify the fraction:
\( \frac{25 \times 4}{6} = \frac{100}{6} \)
Reduce to the lowest terms if necessary. In this case, it cannot be simplified further, so the final answer is:
\( \frac{100}{6} \)
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