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kotegsom [21]
2 years ago
9

Which expression is equivalent to -4/7 - 8/9 + 4/7 - 9/8

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
5 0

Answer:

<em>I misunderstood the question before, but here are two expressions equivalent to -4/7 - 8/9 + 4/7 - 9/8. </em>

71/72 + 70/72 +4/72

-1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8

<em>Solved: -2 1/72</em>

Step-by-step explanation:

I could simply take the answer you get when combining all of the fractions, and I can make a new expression out of it. For example, I could use: 71/72+ 70/72+4/72. Or I could break apart all of the original fractions into smaller fractions. Example: -1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8.

<em>To solve: Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.</em>

<em>Hope this helps!</em>

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