Expand 7/10 * (5d + 6) (1 point)
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.
To expand the expression 7/10 * (5d + 6), we will multiply each term inside the parentheses by the fraction 7/10:
7/10 * (5d + 6) = (7/10) * 5d + (7/10) * 6
Next, we simplify each of the terms:
(7/10) * 5d = (7 * 5) / (10) * d = 35d/10 = 3.5d
(7/10) * 6 = (7 * 6) / (10) = 42/10 = 4.2
Thus, the expanded form of 7/10 * (5d + 6) is 3.5d + 4.2.
To expand the expression 7/10 * (5d + 6), we need to distribute the fraction 7/10 to each term inside the parentheses.
First, multiply the fraction 7/10 by the term 5d:
(7/10) * 5d = (7 * 5d) / (10).
Now, multiply the fraction 7/10 by the term 6:
(7/10) * 6 = (7 * 6) / (10).
Therefore, the expanded expression is (7 * 5d) / (10) + (7 * 6) / (10), which can be simplified as (35d + 42) / 10.