Expand-5/6(9b-12)

Answer 1

To expand the expression 5/6(9b-12), we start by distributing the rational number 5/6 to every term inside the parentheses:

Expanding, we get:

5/6 * 9b - 5/6 * 12

To simplify this further, we multiply the numerator of 5/6 by 9b and subtract the numerator of 5/6 multiplied by 12:

(5 * 9b) / 6 - (5 * 12) / 6

This gives us:

45b / 6 - 60 / 6

Simplifying the numerators, we get:

45b/6 - 10

Now, we can simplify further by dividing both terms by their greatest common divisor, which is 3:

(45b / 3) / (6/3) - 10/3

This simplifies to:

15b / 2 - 10/3

Therefore, the expanded form of 5/6(9b-12) is 15b/2 - 10/3.