What is the value of the expression (-8/9) divided by (-2/3) x (-4 1/2) ?

options

a). -6
b). -8/27
c). 8/27
d). 6

B)

Step-by-step explanation:

To start things off, lets convert any mixed numbers like into improper fractions. In this case as an improper fraction is .

Now let's multiply by . When multiplying fractions, all you need to do is multiply the numerators and denominators separately. Your final answer should be .*Note: a negative times a negative is a positive, so that's why we now have an even number in front of instead of a negative number.

Now we want to isolate , so we'll have to divide by , but dividing these two fractions seems like a pain. To make things a bit easier, let's turn our improper fraction into a whole number. To change this improper fraction into a whole number, we should ask ourselves what times is equal to ? In this case, the answer is 3, so is actually the same thing as the whole number .*Note: In general, keeping fractions as either improper fractions or whole numbers will make doing math easier. Avoid mixed numbers like when trying to do math and simply change improper fractions into mixed numbers once you have your final solution.

Now divide by . Think of it as multiplying the denominator of by .