-7/6(3g+2)
To solve this expression, we will follow the order of operations (PEMDAS/BODMAS).
First, we need to simplify the expression inside the parentheses.
3g + 2
Now, we can distribute the -7/6 to every term inside the parentheses.
(-7/6)(3g) + (-7/6)(2)
Simplifying further, we have:
-21g/6 - 14/6
Now, we can combine like terms:
-21g/6 - 14/6
To simplify this expression, we need to find a common denominator for -21g and -14. The common denominator is 6.
Using the common denominator, we have:
-21g/6 - 14/6 = (-21g - 14)/6
Thus, the simplified expression is (-21g - 14) / 6.
To simplify the expression -7/6(3g + 2), follow the order of operations (PEMDAS) which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
1. First, apply the distributive property by multiplying -7/6 with both terms inside the parentheses:
-7/6(3g + 2) = -7/6 * 3g + (-7/6) * 2
2. Simplify the multiplication of fractions by multiplying the numerators (top numbers) together and the denominators (bottom numbers) together:
(-7/6 * 3g) + (-7/6 * 2) = -21g/6 + (-14/6)
3. Combine the like terms:
-21g/6 + (-14/6) = (-21g - 14)/6
Thus, the simplified expression is (-21g - 14)/6.
To simplify the expression -7/6(3g+2), we will use the distributive property of multiplication over addition or subtraction.
First, let's multiply -7/6 with each term inside the parentheses (3g+2):
-7/6 * 3g = (-7/6) * 3g = -7g/2
-7/6 * 2 = (-7/6) * 2 = -7/3
Now, we have -7g/2 - 7/3.
To combine these terms, we need to find a common denominator. By multiplying the denominators 2 and 3, we get 6, which will serve as our common denominator.
Now let's convert both fractions to have a denominator of 6:
-7g/2 = (-7g/2) * (3/3) = -21g/6
-7/3 = (-7/3) * (2/2) = -14/6
Now our expression becomes -21g/6 - 14/6.
To combine these fractions, we subtract the numerators and keep the common denominator:
(-21g - 14) / 6
Therefore, the simplified expression is (-21g - 14) / 6.