Expand −5/6(9b−12) (1 point)
To expand the expression -5/6(9b - 12), we need to multiply each term inside the parentheses by -5/6:
-5/6(9b) - 5/6(-12)
Multiplying -5/6 by 9b and -12 gives us:
-45b/6 + 60/6
Simplifying the expression gives:
-45/6 * b + 10
Therefore, -5/6(9b - 12) expands to -45/6b + 10.
Expand −5/6(6b−12) (1 point)
To expand the expression -5/6(6b - 12), we need to multiply each term inside the parentheses by -5/6:
-5/6 * 6b -5/6 * (-12)
Multiplying -5/6 by 6b and -12 gives us:
-30b/6 + 60/6
Simplifying the expression gives:
-5b + 10
Therefore, -5/6(6b - 12) expands to -5b + 10.
To expand the expression −5/6(9b−12), we can use the distributive property. According to the distributive property, when a number is multiplied by a sum or difference inside parentheses, we need to distribute the multiplication to each term inside the parentheses.
In this case, we have −5/6 as the multiplying factor, and (9b−12) as the expression inside the parentheses. So, we need to multiply −5/6 by each term inside the parentheses.
Let's start by multiplying −5/6 by the first term inside the parentheses, which is 9b:
(−5/6) * (9b) = (−5/6) * (9b/1)
To multiply fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. So, the multiplication of (−5/6) * (9b/1) will be:
(-5 * 9b) / (6 * 1) = -45b / 6
Now, let's multiply −5/6 by the second term inside the parentheses, which is −12:
(−5/6) * (−12) = (−5/6) * (−12/1)
Again, we multiply the numerators and denominators:
(-5 * -12) / (6 * 1) = 60 / 6 = 10
So, the final expanded expression is:
-45b/6 + 10
We can simplify the expression further by dividing both the numerator and denominator of -45b/6 by their greatest common divisor, which is 3. This gives us:
-15b/2 + 10
Therefore, the expanded form of −5/6(9b−12) is -15b/2 + 10.