Yes you are correct! :)
Step 1. Simplify [tex] \frac{1}{15} * \frac{-10}{13} [/tex] to [tex]- \frac{1}{15}* \frac{10}{13} [/tex]
[tex] \frac{1}{15} * \frac{10}{13} [/tex]
Step 2. Apply this rule [tex] \frac{a}{b} * \frac{c}{d} = \frac{ac}{db} [/tex]
[tex] \frac{1*10}{15*13} [/tex]
Step 3. Simplify [tex]1*10[/tex] to [tex]10[/tex]
[tex] \frac{10}{15*13} [/tex]
Step 4. Simplify [tex]15*13[/tex] to [tex]195[/tex]
[tex] \frac{10}{195} [/tex]
Step 5. Simplify
[tex] \frac{2}{39} [/tex]
Done! :) Your answer is [tex] \frac{2}{39} [/tex]
