Expand 7/10 * (5d + 6) (1 point)

3 answers

To expand the expression 7/10 * (5d + 6), we will distribute the fraction 7/10 to the terms inside the parentheses.

First, multiply 7/10 by 5d:

7/10 * 5d = (7*5d) / (10) = 35d/10 = 7d/2.

Next, multiply 7/10 by 6:

7/10 * 6 = (7*6) / (10) = 42/10 = 21/5.

So, the expression expands to:

7/10 * (5d + 6) = 7d/2 + 21/5.
Expand -5/8 (3p + 8)
To expand the expression -5/8 * (3p + 8), we will distribute the fraction -5/8 to the terms inside the parentheses.

First, multiply -5/8 by 3p:

-5/8 * 3p = (-5*3p) / (8) = -15p/8.

Next, multiply -5/8 by 8:

-5/8 * 8 = (-5*8) / (8) = -40/8 = -5.

So, the expression expands to:

-5/8 * (3p + 8) = -15p/8 - 5.