-\(\frac{3}{10}\) × -\(\frac{5}{12}\)
=\(\frac{15}{120}\)
Note that it is \(\frac{15}{120}\) not -\(\frac{15}{120}\) since two negatives will cancel each other out.
Now we need to simplify \(\frac{15}{120}\). We do this by dividing by the greatest common factor. I'll use the guess and check method, but there are other methods that you could also use.
\(\frac{15}{120}\) ÷ \(\frac{15}{15}\)
=\(\frac{1}{8}\)
Your answer would be \(\frac{1}{8}\)