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Simplify - 3/4 r + 3 - 5/6 r - 6

Answer: - 19/12 r - 3
describe as a 7th grade in short simple sentences and show your work, make sure all of it is text

3 answers

To simplify the expression -3/4 r + 3 - 5/6 r - 6, we need to combine like terms.

First, we can group the terms with 'r' together and the constant numbers together.

  1. The 'r' terms are -3/4 r and -5/6 r.
  2. The constant terms are 3 and -6.

Now let's simplify the 'r' terms:

-3/4 r - 5/6 r

To add these fractions, we need a common denominator. The least common denominator of 4 and 6 is 12.

Now, we convert each fraction:

-3/4 = -9/12 (because -3 times 3 is -9, and 4 times 3 is 12) -5/6 = -10/12 (because -5 times 2 is -10, and 6 times 2 is 12)

Now we can combine them:

-9/12 r - 10/12 r = (-9 - 10)/12 r = -19/12 r

Next, let's simplify the constant terms:

3 - 6 = -3

Now we combine everything:

So, the simplified expression is:

-19/12 r - 3

Therefore, the final answer is -19/12 r - 3.

can you shorten it alot more

Sure! Here’s a shorter version:

To simplify -3/4 r + 3 - 5/6 r - 6:

  1. Combine the 'r' terms: -3/4 r - 5/6 r.
    Common denominator is 12:
    -3/4 = -9/12 and -5/6 = -10/12.
    So, -9/12 r - 10/12 r = -19/12 r.

  2. Combine the constants:
    3 - 6 = -3.

So the final answer is:
-19/12 r - 3.