-6(1/4x-2/3x+5/6x)
a. -x
b. -2 1/2x
c. 3/4x
d. 2x
To simplify the expression -6(1/4x-2/3x+5/6x), we can distribute the -6 to each term inside the parentheses:
-6(1/4x) - 6(-2/3x) - 6(5/6x)
= -6/4x - (-12/3x) - 30/6x
= -3/2x + 8x - 5x
Now, let's combine like terms:
= -3/2x + 8x - 5x
= -3/2x + 3x
= (3x - 3/2x)
= (6x - 3/2x)/2
= 6/2x - 3/4x
= 3x - 3/4x
So, the simplified expression is 3x - 3/4x.
Therefore, the correct option is c. 3/4x.
To simplify the expression -6(1/4x - 2/3x + 5/6x), we need to distribute the -6 to each term inside the parentheses.
-6(1/4x) = -6/4x = -3/2x
-6(-2/3x) = 12/3x = 4x
-6(5/6x) = -30/6x = -5x
Now, substitute the simplified terms back into the expression:
-3/2x + 4x - 5x
To combine like terms, we can first add -3/2x and 4x:
-3/2x + 4x = (8/2 - 3/2)x = 5/2x
Next, we subtract 5x from 5/2x:
5/2x - 5x = (5/2 - 10/2)x = -5/2x
Therefore, the simplified expression is -5/2x.
So the correct answer is: b. -2 1/2x
To simplify the expression -6(1/4x - 2/3x + 5/6x), we need to perform the following steps:
Step 1: Distribute the -6 to each term inside the parentheses.
-6 * 1/4x = -6 * 1/4 * x = -6/4 * x = -3/2x
-6 * -2/3x = -6 * -2/3 * x = 12/3 * x = 4x
-6 * 5/6x = -6 * 5/6 * x = -30/6 * x = -5x
Step 2: Combine like terms.
(-3/2x) + 4x + (-5x) = -3/2x + 4x - 5x = (4 - 5 - 3/2) * x = -4 1/2x
Therefore, the simplified expression is -4 1/2x, which is equivalent to option b. -2 1/2x.