Answer:

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Step-by-step explanation:

To simplify the expression (-2/7 x -4/9) + (-3/5 x -4/9) using the distributive property, we can apply the distributive property to each term separately and then combine like terms.

Let's start with the first term (-2/7 x -4/9):

(-2/7 x -4/9) = (-2/7) x (-4/9) = (2/7) x (4/9)  (Since a negative multiplied by a negative is positive)

Now, let's simplify the second term (-3/5 x -4/9):

(-3/5 x -4/9) = (-3/5) x (-4/9) = (3/5) x (4/9)   (Since a negative multiplied by a negative is positive)

Now, we have:

(2/7) x (4/9) + (3/5) x (4/9)

Next, let's simplify each multiplication separately:

(2/7) x (4/9) = 8/63

(3/5) x (4/9) = 12/45

Now, we can add the simplified terms:

8/63 + 12/45

To add these fractions, we need a common denominator. The least common multiple (LCM) of 63 and 45 is 315.

Converting the fractions to have a denominator of 315:

(8/63) x (5/5) = 40/315

(12/45) x (7/7) = 84/315

Now, we can add the fractions:

40/315 + 84/315 = 124/315

Therefore, the expression (-2/7 x -4/9) + (-3/5 x -4/9) simplifies to 124/315 using the distributive property.