Expand −5/6 (9b−12) .(1 point)
Expanding −5/6 (9b−12) means distributing the −5/6 to both terms inside the parentheses:
(-5/6)(9b) + (-5/6)(-12)
Simplifying this expression gives:
-45b/6 + 60/6
Combining the terms with like denominators gives:
(-45b + 60)/6
So, the expanded expression is −45b+60 divided by 6.
To expand the expression −5/6(9b−12), we need to distribute −5/6 to each term inside the parentheses.
First, distribute −5/6 to 9b:
−5/6 * 9b = (−5 * 9)/(6) * b = −45/6 * b = −15/2 * b = −15b/2
Next, distribute −5/6 to −12:
−5/6 * −12 = (−5 * −12)/(6) = 60/6 = 10
Therefore, the expanded expression is:
−5/6(9b−12) = −15b/2 + 10.
To expand −5/6 (9b−12), we need to distribute the −5/6 to both terms inside the parentheses. This can be done by multiplying −5/6 with 9b and −5/6 with -12.
−5/6 (9b−12) = −5/6 * 9b + −5/6 * -12
To multiply fractions, we multiply the numerators together and the denominators together.
−5/6 * 9b = (-5 * 9 * b) / (6)
And
−5/6 * -12 = (-5 * -12) / (6)
Simplifying further,
−5/6 * 9b = -45b / 6
And
−5/6 * -12 = 60 / 6
Now, we can simplify the fractions.
-45b / 6 can be divided by 3:
-45b / 6 = -15b / 2
Similarly, 60 / 6 can be divided by 6:
60 / 6 = 10
Therefore, the expanded form of −5/6 (9b−12) is:
−15b / 2 + 10