Question

What’s -8/9 / -2/3 x -4 1/2?

The choices:

-6
-8/27
8/27
6

Please show how you did this. Anyone who can answer this and explain how they got it will get brainliest.

Answer 1

First divide the first two. When you divide by a fraction, flip it over and multiply:

-8/9 / -2/3 = -8/9 x -3/2 = (-8 x -3)/(9x2) = 24/18 = 4/3

Now rewrite -4 1/2 as an improper fraction and multiply by 4/3

-4 1/2 = -9/2

4/3 x -9/2 = (4 x -9)/(3x2) = -36/6 = -6

The answer is -6

Answer 2

Answer:

-6

Step-by-step explanation:

The first thing you have to do is to divide -$\frac{8}{9}$ by -$\frac{2}{3}$. When you divide fractions, all you have to do is to get the reciprocal of the divisor and change the operation to multiplication. The divisor above is -$\frac{2}{3}$. Its reciprocal is -$\frac{3}{2}$.

Let's solve.

• -$\frac{8}{9}$ x -$\frac{3}{2}$ = $\frac{24}{18}$

Next, lets divide the numerator and the denominator by a common factor in order to get the lowest term. The common factor for 24 and 18 is 6.

• 24 ÷ 6 = 4
• 18 ÷ 6 = 3

The lowest term for $\frac{24}{18}$ is $\frac{4}{3}$.

Next, we'll have to multiply $\frac{4}{3}$ by -4 $\frac{1}{2}$. We can only do this if we change -4 $\frac{1}{2}$ to an improper fraction first.

• - 4 $\frac{1}{2}$ = -$\frac{9}{2}$

Now, we are ready to multiply $\frac{4}{3}$ by -$\frac{9}{2}$.

• $\frac{4}{3}$ x -$\frac{9}{2}$ = -$\frac{36}{6}$ = -6

Therefore, the answer is the first choice, -6.