Final answer:
To multiply fractions, multiply the numerators together and then multiply the denominators together. Simplify the resulting fraction if possible.
Step-by-step explanation:
To calculate the product of (-12/17) x (-1/6), you need to multiply the numerators together and the denominators together, remembering that the multiplication rules for signs. When two negative numbers are multiplied, the answer has a positive sign (see multiplication rule number 6).
Step-by-step multiplication process:
Multiply the numerators: (-12) x (-1) = 12
Multiply the denominators: 17 x 6 = 102
Combine the product of the numerators and denominators to get the fraction: 12/102
Simplify the fraction by finding the greatest common divisor (GCD) of 12 and 102, which is 6.
Divide both the numerator and the denominator by 6: (12/6) / (102/6) = 2/17
After simplifying, the product in simplest form is 2/17.