Expand -5/6 ( 9B - 12 )

Answer 1

To expand the expression -5/6 ( 9B - 12 ), you need to distribute the -5/6 across each term inside the parentheses (9B and -12). Here's how you do it step by step:

First, multiply -5/6 by 9B:
-5/6 * 9B = (-5 * 9B) / 6 = (-45B) / 6

Now, since both -45 and 6 are divisible by 3, you can simplify this to:
(-45B) / 6 = (-15B * 3) / (2 * 3) = -15B / 2 (dividing both numerator and denominator by 3)

Next, multiply -5/6 by -12:
-5/6 * -12 = (-5 * -12) / 6 = 60 / 6

Simplifying this gives you:
60 / 6 = 10 (since 60 divided by 6 equals 10)

Putting it all together, you get:
-15B / 2 + 10

Therefore, the expanded form of -5/6 ( 9B - 12 ) is -15B / 2 + 10.