To expand the expression -7/6(3g+2), you need to distribute the multiplication of -7/6 to both terms inside the parentheses. This means you multiply -7/6 by 3g and -7/6 by 2 separately.
Starting with the first term:
-7/6 * 3g = (-7 * 3g) / 6
The 3 can simplify with the 6 because 3 is a factor of 6. Thus, 6 divided by 3 is 2. The expression becomes:
(-7 * g) / 2 = -7g/2 or -7/2g
Now the second term:
-7/6 * 2 = (-7 * 2) / 6 = -14 / 6
The fraction -14/6 can be simplified because both the numerator and denominator are divisible by 2. When we simplify by dividing both by 2, the expression becomes:
-7 / 3
Putting both terms together, we get:
-7/2g - 7/3
Thus, the expanded expression is -7/2g - 7/3, which corresponds to option A.
Expand -7/6(3g+2)
A. -7/2g-7/3
B. -7/2g+2
C. 7/2g-7/3
D. 7/2g+2
1 answer