Simplify.−6(1/4x−2/3x+5/6x)(1 point)
To simplify the expression −6(1/4x−2/3x+5/6x), we can first combine like terms within the parentheses:
1/4x − 2/3x + 5/6x can be written as (3/12x − 8/12x + 10/12x)
Combining the numerators:
(3 − 8 + 10)/12x = 5/12x
Now, substituting this simplified expression back into the original expression:
−6 * (5/12x)
Multiplying the coefficients:
−30/12x
Dividing both the numerator and denominator by 6:
−5/2x
Therefore, the simplified expression is −5/2x.
To simplify the expression, follow these steps:
Step 1: Distribute -6 to each term inside the parentheses:
-6 * (1/4x) = -6/4x = -3/2x
-6 * (-2/3x) = 12/3x = 4/1x = 4x
-6 * (5/6x) = -30/6x = -5/1x = -5x
Step 2: Combine the like terms after distributing:
-3/2x + 4x - 5x
Step 3: Simplify the expression:
-3/2x + 4x - 5x = -3/2x - x
Therefore, the simplified expression is: -3/2x - x.
To simplify the expression −6(1/4x−2/3x+5/6x), we need to apply the distributive property and combine like terms.
First, distribute −6 to each term inside the parentheses:
−6(1/4x) − 6(-2/3x) + (-6)(5/6x)
This gives us:
-6/4x + 12/3x - 30/6x
To combine the terms, we need to find a common denominator for the coefficients of x. The common denominator for 4, 3, and 6 is 12:
-6/4x + 12/3x - 30/6x
Next, we rewrite the fractions with the common denominator:
-6(3/3)/4x + 12(4/4)/3x - 30(2/2)/6x
Simplifying further, we have:
-18/12x + 48/12x - 60/12x
Now that all the terms have the same denominator, we can combine them:
(-18 + 48 - 60)/12x
Which simplifies to:
-30/12x
Finally, we can further reduce the fraction by simplifying the numerator and denominator:
-5/2x
Therefore, the simplified expression is -5/2x.