To multiply \( 15 \frac{4}{5} \) by \( 18 \), we can first convert the mixed number into an improper fraction.
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Convert \( 15 \frac{4}{5} \) to an improper fraction: \[ 15 \frac{4}{5} = \left(15 \times 5 + 4\right) / 5 = \frac{75 + 4}{5} = \frac{79}{5} \]
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Now, multiply \( \frac{79}{5} \) by \( 18 \): \[ \frac{79}{5} \times 18 = \frac{79 \times 18}{5} = \frac{1422}{5} \]
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Convert \( \frac{1422}{5} \) into a mixed number:
- Divide \( 1422 \) by \( 5 \): \[ 1422 \div 5 = 284 \quad \text{remainder} \quad 2 \] This means \( 1422 = 284 \times 5 + 2 \).
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Hence, \[ \frac{1422}{5} = 284 \frac{2}{5} \]
So, \( 15 \frac{4}{5} \times 18 = 284 \frac{2}{5} \).