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Verified Answer :

Yes you are correct! :)

Step 1. Simplify \(\frac{1}{15} * \frac{-10}{13}\) to \(- \frac{1}{15}* \frac{10}{13}\)

\(\frac{1}{15} * \frac{10}{13}\)


Step 2. Apply this rule \(\frac{a}{b} * \frac{c}{d} = \frac{ac}{db}\)

\(\frac{1*10}{15*13}\)

Step 3. Simplify \(1*10\) to \(10\)

\(\frac{10}{15*13}\)

Step 4. Simplify \(15*13\) to \(195\)

\(\frac{10}{195}\)

Step 5. Simplify 

\(\frac{2}{39}\)

Done! :) Your answer is \(\frac{2}{39}\)