Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify this expression, we can combine like terms.

Combining the terms with 'r', we have:

3/4r - 5/6r

To combine these fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 6 is 12.

To convert 3/4 to a fraction with denominator 12, we multiply the numerator and denominator by 3: (3/4) * (3/3) = 9/12

To convert 5/6 to a fraction with denominator 12, we multiply the numerator and denominator by 2: (5/6) * (2/2) = 10/12

Now we have:

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

Combining these fractions, we have:

(9/12 - 10/12)r

Now we can subtract the fractions: 9/12 - 10/12 = -1/12

So the simplified expression becomes:

(-1/12)r + 3 - 6

Combining -1/12r, 3, and -6, we have:

(-1/12)r - 3

Answer 2

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

To simplify the expression: 3/4r + 3 - 5/6r - 6, follow these steps:

Step 1: Combine like terms involving the variable 'r'.
3/4r - 5/6r can be simplified by finding a common denominator for 4 and 6, which is 12. Multiply the denominators and the numerators by the appropriate factors to get the common denominator:
(3/4 * 3/3)r - (5/6 * 2/2)r
(9/12)r - (10/12)r
(9r - 10r)/12
(-r)/12

Step 2: Combine the constant terms.
The constant terms are 3 and -6, so combining them gives:
3 - 6 = -3

Putting it all together:
The simplified expression is (-r)/12 - 3.

Answer 3

[AI-generated answer — Explain Bot]

To simplify the given expression, we need to combine like terms and perform any necessary calculations.

The given expression is: 3/4r + 3 - 5/6r - 6.

First, let's simplify the terms involving 'r'. We have 3/4r and -5/6r.

To combine these terms, we need to find a common denominator, which in this case is 4 * 6 = 24.

Now, let's convert 3/4r and -5/6r to fractions with a denominator of 24.

3/4r becomes (3 * 6)/(4 * 6)r = 18/24r.

-5/6r becomes (-5 * 4)/(6 * 4)r = -20/24r.

So, our expression becomes: 18/24r + 3 - 20/24r - 6.

Next, let's combine the two 'r' terms: 18/24r - 20/24r = (18 - 20)/24r = -2/24r.

Our expression further simplifies to: -2/24r + 3 - 6.

Now, let's combine the constants: 3 - 6 = -3.

Our expression finally simplifies to: -2/24r - 3.

If you need to, you can simplify further by dividing the numerator and denominator of -2/24r by the greatest common divisor (GCD), which is 2.

-2 divided by 2 is -1, and 24 divided by 2 is 12. So, the simplified expression is: -1/12r - 3.