Question

Question
Expand −5/6(9b−12)
.

Answer 1

To expand \(-\frac{5}{6}(9b - 12)\), you distribute \(-\frac{5}{6}\) to both terms inside the parentheses:

1. Multiply \(-\frac{5}{6}\) by \(9b\):
\[
-\frac{5}{6} \cdot 9b = -\frac{5 \cdot 9}{6}b = -\frac{45}{6}b = -\frac{15}{2}b \quad (\text{simplifying } \frac{45}{6})
\]

2. Multiply \(-\frac{5}{6}\) by \(-12\):
\[
-\frac{5}{6} \cdot -12 = \frac{5 \cdot 12}{6} = \frac{60}{6} = 10
\]

Now, combine the results:
\[
-\frac{5}{6}(9b - 12) = -\frac{15}{2}b + 10
\]

Thus, the expanded expression is:
\[
-\frac{15}{2}b + 10
\]