Expand-5/6(9b-12)
To expand 5/6(9b - 12), we can distribute the fraction 5/6 to both terms inside the parentheses.
= (5/6)(9b) - (5/6)(12)
= (45b/6) - (60/6)
Now, we can simplify both fractions.
= 45b/6 - 10
The simplified expanded form of 5/6(9b - 12) is 45b/6 - 10.
To expand the expression 5/6(9b-12), follow these steps:
Step 1: Distribute the 5/6 to the terms inside the parentheses.
(5/6) * 9b = (5/6) * 9 * b = 45/6 * b = 15/2 * b = (15b)/2
(5/6) * -12 = (5/6) * -12 * 1 = -60/6 * 1 = -10 * 1 = -10
Step 2: Combine the results from step 1.
5/6(9b-12) = (15b)/2 - 10
So, the expanded form of 5/6(9b-12) is (15b)/2 - 10.
To expand the expression 5/6(9b-12), you need to distribute the fraction 5/6 to each term inside the parentheses.
First, distribute the 5/6 to the first term, which is 9b:
(5/6) * 9b = (5 * 9b) / 6 = 45b/6
Then, distribute the 5/6 to the second term, which is -12:
(5/6) * -12 = (5 * -12) / 6 = -60 / 6 = -10
Now, you can combine the two terms to obtain the expanded expression:
45b/6 - 10
Note: If you want to simplify the expression further, you can divide both the numerator and denominator of 45b/6 by their greatest common factor, which is 3 in this case:
45b/6 = (45/3)(b/1) / (6/3) = 15b/2
So, the fully expanded and simplified expression is:
15b/2 - 10