Final answer:
The product of -12/14 and -11/15 is 66/105, with both fractions simplified and the negative signs producing a positive product.
Step-by-step explanation:
To find the product of -12/14 and -11/15, you multiply the two fractions together.
Step 1: Convert the fractions to the simplest form if possible. -12/14 simplifies to -6/7 because both the numerator and denominator are divisible by 2.
Step 2: Multiply the simplified numerators together and the denominators together:
- Numerators: (-6) * (-11) = 66
- Denominators: 7 * 15 = 105
Step 3: Since the signs are the same (two negatives), according to multiplication rules, the product will have a +ve sign. So, you get:
66/105
Step 4: Check to see if the fraction can be simplified further. In this case, 66 and 105 have no common factors other than 1, so the fraction is already in simplest form.
Therefore, the product of -12/14 multiplied by -11/15 is 66/105.