To find the reciprocal of \(1 \frac{1}{15}\), we first need to convert the mixed number into an improper fraction.
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Convert \(1 \frac{1}{15}\) to an improper fraction: \[ 1 \frac{1}{15} = \frac{15 \times 1 + 1}{15} = \frac{15 + 1}{15} = \frac{16}{15} \]
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Now, find the reciprocal of \(\frac{16}{15}\): \[ \text{Reciprocal} = \frac{15}{16} \]
Therefore, the reciprocal of \(1 \frac{1}{15}\) is \(\frac{15}{16}\).
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