Expand - 5/6 (9b - 12).

Question

Answer: -15/2 b + 10
describe as a 7th grade in short simple sentences and show your work, make sure all of it is text

Answer 1

To solve the expression -5/6 (9b - 12), we will use the distributive property. This means we will multiply -5/6 by each term inside the parentheses.

Here’s how we do it step by step:

1. Start with the expression: -5/6 (9b - 12).

2. Distribute -5/6 to the first term inside the parentheses, which is 9b:

   • Multiply -5/6 by 9b.
   • We do the multiplication:
     • (-5 * 9) = -45
     • So, -5/6 * 9b = -45/6b.

3. Simplify -45/6b:

   • Both numbers can be divided by 3:
     • -45 ÷ 3 = -15
     • 6 ÷ 3 = 2
   • So, -45/6b simplifies to -15/2b.

4. Now, we move to the second term in the parentheses, which is -12:

   • Multiply -5/6 by -12.
   • We do the multiplication:
     • (-5 * -12) = 60
   • Now divide 60 by 6:
     • 60 ÷ 6 = 10
   • So, -5/6 * -12 = 10.

5. Now, we combine the two results:

   • From the first term, we have -15/2b.
   • From the second term, we have +10.

So, when we put it all together, the final answer is: -15/2b + 10.

Answer 2

can you shorten it a lot more

Answer 3

Sure! Here’s a simpler explanation:

1. Start with: -5/6(9b - 12).
2. Distribute -5/6:
   • First term: -5/6 * 9b = -45/6b = -15/2b.
   • Second term: -5/6 * -12 = 60/6 = 10.
3. Combine the results: -15/2b + 10.

Final answer: -15/2b + 10.