Expand 7/4(8h+3) .(1 point)

Answer 1

To expand the expression 7/4(8h + 3), we can follow the order of operations, which is commonly remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

First, we multiply the fraction 7/4 by the expression (8h + 3):

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

Next, we distribute the fraction 7/4 to each term inside the parentheses:

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

Simplifying the expressions within the parentheses:

(56h/4) + (21/4)

Now, we can add the two terms:

56h/4 + 21/4

Since the two terms have a common denominator, we can combine them into a single fraction:

(56h + 21) / 4

Therefore, the expanded form of 7/4(8h + 3) is (56h + 21) / 4.