Final answer:
(-4/6) multiplied by (-5/6) equals 20/36, which simplifies to 5/9 since both original numbers are negative, the product is positive.
Step-by-step explanation:
The multiplication of two negative fractions follows the same rules as the multiplication of integers. Since both numbers being multiplied are negative, the result will have a positive sign, according to the rule that states when two negative numbers multiply, the answer has a positive sign.
The multiplication of (-4/6) and (-5/6) is done by multiplying the numerators together and the denominators together. That is:
(-4/6) x (-5/6) = (4 x 5) / (6 x 6) = 20 / 36
Now, you can simplify the result by dividing both the numerator and the denominator by their greatest common divisor, which is 4 in this case:
20 / 36 = (20/4) / (36/4) = 5 / 9