Expand-7/6(3g+2)
To expand the expression 7/6(3g + 2), we first distribute the 7/6 to each term inside the parentheses.
7/6 * 3g = (7/6)(3g) = (7/6)(3)(g) = (7)(1)(g)/6 = 7g/6
7/6 * 2 = (7/6)(2) = (7/6)(2)(1) = (7)(1)/6 = 7/6
Putting it all together, we have:
7/6(3g + 2) = 7g/6 + 7/6
To expand the expression 7/6(3g+2), you can follow the distributive property.
First, distribute the 7/6 to both terms inside the parentheses - 3g and 2:
= (7/6) * 3g + (7/6) * 2
Simplify the multiplication:
= (21/6)g + (14/6)
Now, you can simplify the fractions by finding a common denominator, which is 6:
= (21/6)g + (14/6)
To simplify the fractions:
= (7/2)g + (7/3)
So, the expanded form of 7/6(3g+2) is (7/2)g + (7/3).
To expand the expression 7/6(3g + 2), you can use the distributive property. The distributive property states that when you multiply a number by a sum or difference in parentheses, you distribute (or distribute) the number to each term inside the parentheses. Here's how you can apply the distributive property:
7/6 * 3g + 7/6 * 2
Now, let's simplify each term:
First term:
To multiply 7/6 by 3g, we can multiply their numerators and denominators together:
(7 * 3g) / (6 * 1) = 21g / 6
Second term:
To multiply 7/6 by 2, we can multiply their numerators and denominators together:
(7 * 2) / (6 * 1) = 14 / 6
Now, we have:
21g/6 + 14/6
Since the denominators are the same, we can add the numerators:
(21g + 14) / 6
So, the expanded form of 7/6(3g + 2) is (21g + 14) / 6.