Simplify -6 (1/4 x - 2/3 x+ 5/6 x)
To simplify -6 (1/4 x - 2/3 x + 5/6 x), we can first combine the x terms with the same denominator:
-6 (1/4 x - 2/3 x + 5/6 x)
= -6 (3/12 x - 8/12 x + 10/12 x)
= -6 (5/12 x)
Now, we can multiply the whole number and the fraction:
-6 (5/12 x)
= -30/12 x
Therefore, the simplified form is -30/12 x.
simplify -30/12 x
To simplify -30/12 x, we can reduce the fraction:
-30/12 x
= (-15/6) x
= (-5/2) x
Therefore, the simplified form is (-5/2) x.
To simplify the expression -6 (1/4 x - 2/3 x+ 5/6 x), we can start by combining the like terms.
First, let's simplify the terms inside the parentheses:
-6 (1/4 x - 2/3 x+ 5/6 x)
= -6 (1/4 - 2/3 + 5/6)
To combine these fractions, we need a common denominator. The least common multiple of 4, 3, and 6 is 12. Let's rewrite each fraction with a denominator of 12:
= -6 (3/12 - 8/12 + 10/12)
Now that all the fractions have the same denominator, we can combine them:
= -6 (3/12 - 8/12 + 10/12)
= -6 (-5/12)
Finally, we can multiply -6 times -5/12:
= (-6) * (-5/12)
= 30/12
= 5/2
So, the simplified form of -6 (1/4 x - 2/3 x+ 5/6 x) is 5/2.
To simplify the expression -6(1/4x - 2/3x + 5/6x), we will apply the distributive property and then combine like terms.
First, let's distribute -6 to each term inside the parentheses:
-6 * 1/4x = (-6/1) * (1/4) * x = -6/4x = -3/2x
-6 * (-2/3x) = (-6/1) * (-2/3) * x = 12/3x = 4x
-6 * 5/6x = (-6/1) * (5/6) * x = -30/6x = -5x
Now, combining these terms, we get:
-3/2x + 4x - 5x
To combine the terms, we need to find the LCD (Least Common Denominator) of the coefficients. In this case, the LCD is 2, so we can rewrite the expression as:
(-3/2x) + (4/1x) + (-5/1x)
To add or subtract fractions, they must have the same denominator, so we need to have a common denominator for x. In this case, we can multiply -3/2x by 1/1, 4/1x by 2/2, and -5/1x by 2/2 to obtain a common denominator:
(-3/2x) + (8/2x) + (-10/2x)
Now that the denominators are the same, we can add the numerators:
(-3 + 8 - 10) / 2x = -5/2x
Therefore, the simplified expression is -5/2x.