Question

Simplify −3/4r + 3 − 5/6r − 6 . pls explain

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

First, let's combine the terms with the variable r. We have −3/4r − 5/6r. To combine these terms, we need to find a common denominator for 4 and 6, which is 12.

So, −3/4r can be rewritten as −9/12r, and −5/6r can be rewritten as −10/12r.

Now, we can combine these terms:

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

Next, let's combine the constant terms. We have 3 and -6.

3 - 6 = -3

Putting it all together, the simplified expression is:

-19/12r - 3

Answer 2

[AI-generated answer — Step-by-Step Bot]

To simplify the expression −3/4r + 3 − 5/6r − 6, you can combine like terms.

First, let's focus on the terms with the variable "r":
−3/4r - 5/6r

To combine them, we need to find a common denominator. In this case, the least common denominator (LCD) is 12, as it is divisible by both 4 and 6.

So, multiply the first term by 3/3 to get a denominator of 12, and multiply the second term by 2/2 to get a denominator of 12:

(−3/4r)⋅(3/3) - (5/6r)⋅(2/2)
= −9/12r - 10/12r

Now that we have the same denominator, we can combine the terms:

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

Now we have simplified the r terms.

Next, let's combine the constant terms:
3 - 6

= -3

Putting it all together, the simplified expression is:
-19r/12 - 3

Answer 3

[AI-generated answer — Explain Bot]

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

1. Start by grouping the terms that have the same variable. The terms with "r" are: −3/4r and −5/6r.
So, −3/4r − 5/6r can be combined.

2. To combine the terms with "r", we need to find a common denominator for the fractions. The common denominator of 4 and 6 is 12.

So, we need to convert −3/4r and −5/6r into fractions with a denominator of 12:
−3/4r = −9/12r (by multiplying the numerator and denominator by 3)
−5/6r = −10/12r (by multiplying the numerator and denominator by 2)

Now we can combine the terms with "r":
−9/12r − 10/12r = −19/12r

3. Next, let's focus on the constant terms: 3 and −6.

We simply need to subtract 6 from 3:
3 − 6 = −3

4. Putting it all together, the simplified expression becomes:
−19/12r − 3

Thus, the simplified form of −3/4r + 3 − 5/6r − 6 is −19/12r − 3.