Question

Expand 7/4(8h+3)

Answer 1

Expand -5/6(9b-12)

Answer 2

To expand 7/4(8h+3), we need to distribute the 7/4 to both terms within the parentheses.

7/4(8h+3) = (7/4) * 8h + (7/4) * 3

Now, let's multiply each term by 7/4:

= (7/4) * 8h + (7/4) * 3
= (7 * 8h) / 4 + (7 * 3) / 4
= (56h) / 4 + 21 / 4

Simplifying further, combining like terms:

= 14h + 21/4

Therefore, the expanded form of 7/4(8h+3) is 14h + 21/4.

Answer 3

To expand -5/6(9b-12), we need to distribute the -5/6 to both terms inside the parentheses.

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

Now, let's multiply each term by -5/6:

= (-5/6) * 9b + (-5/6) * (-12)
= (-5 * 9b) / 6 + (5 * 12) / 6
= (-45b) / 6 + 60 / 6

Simplifying further, combining like terms:

= -15/2b + 10

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