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il63 [147K]
3 years ago
11

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

Mathematics
1 answer:
Law Incorporation [45]3 years ago
6 0

Answer:

B) x=-\frac{8}{27}

Step-by-step explanation:

-\frac{8}{9}=-\frac{2}{3}x(-4\frac{1}{2})

  • To start things off, lets convert any <em>mixed numbers</em> like -4\frac{1}{2} into <em>improper fractions</em>. In this case -4\frac{1}{2} as an improper fraction is -\frac{9}{2}.

-\frac{8}{9}=-\frac{2}{3}x(-\frac{9}{2})

  • Now let's multiply -\frac{2}{3}x by -\frac{9}{2}. When multiplying fractions, all you need to do is multiply the numerators and denominators separately. Your final answer should be \frac{18}{6}x.
  • *Note: a <em>negative </em>times a <em>negative </em>is a <em>positive</em>, so that's why we now have an even number in front of x instead of a negative number.

-\frac{8}{9}=\frac{18}{6}x

  • Now we want to isolate x, so we'll have to divide -\frac{8}{9} by \frac{18}{6}, 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 6 is equal to 18? In this case, the answer is 3, so \frac{18}{6} is actually the same thing as the whole number 3.
  • *Note: In general, keeping fractions as either improper fractions or whole numbers will make doing math easier. Avoid mixed numbers like -4\frac{1}{2} when trying to do math and simply change improper fractions into mixed numbers once you have your final solution.

-\frac{8}{9}=3x

  • Now divide -\frac{8}{9} by 3. Think of it as multiplying the denominator of -\frac{8}{9} by 3.

-\frac{8}{27}=x

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