Final answer:
To find the product of −2/14 and −4/12, first simplify the fractions to −1/7 and −1/3 respectively, then multiply to get a product of 1/21.
Step-by-step explanation:
The product of −2/14 and −4/12 involves both multiplication and simplification of fractions. To find the product of these two negative fractions, you would multiply the numerators together and the denominators together. Before doing that, we should simplify each fraction to its simplest form if possible. The fraction −2/14 simplifies to −1/7 (divided by 2), and the fraction −4/12 simplifies to −1/3 (divided by 4). Now, multiplying these simpler fractions, we get −1/7 x −1/3, which equals 1/21 because a negative times a negative is positive (according to multiplication rules). The numerators 1 and 1 multiply to 1, and the denominators 7 and 3 multiply to 21.