-6(1/4x - 2/3x + 5/6x)
Answers provided:
-2 1/2x
-x
2x
3/4x
To solve this expression, let's simplify it step by step:
-6(1/4x - 2/3x + 5/6x)
First, let's simplify the expression inside the parentheses:
1/4x - 2/3x + 5/6x
To combine the fractions, we need to find a common denominator.
The common denominator for 4, 3, and 6 is 12.
So we multiply each fraction by factors that result in the denominator being 12:
1/4x * (3/3) = 3/12x
2/3x * (4/4) = 8/12x
5/6x * (2/2) = 10/12x
Now we can simplify the expression inside the parentheses:
1/4x - 2/3x + 5/6x = 3/12x - 8/12x + 10/12x
Combining the fractions, we get:
3/12x - 8/12x + 10/12x = (3 - 8 + 10)/12x
= 5/12x
Now we can multiply this simplified expression by -6:
-6 * (5/12x)
Multiplying the numerators and denominators, we have:
-30/12x
Simplifying the fraction, we get:
-2 1/2x
Therefore, the correct answer is -2 1/2x