Expand 7/4(8h+3) .
The given expression, 7/4(8h+3), can be simplified by applying the distributive property and then performing the multiplication.
First, we distribute 7/4 to both terms inside the parentheses:
= (7/4)*(8h) + (7/4)*(3)
Next, we multiply each term:
= (7/4)*(8h) + 21/4
Multiplying 7/4 by 8h gives:
= (7/4)*(8h) = (7*8h)/(4) = (56h)/(4) = 14h
So, the expanded form of 7/4(8h+3) is:
= 14h + 21/4
To expand the expression 7/4(8h+3), we need to apply the distributive property.
Step 1: Distribute 7/4 to both terms inside the parentheses.
7/4 * 8h = (7/4) * 8h = (7 * 8 * h) / 4 = 56h/4 = 14h
7/4 * 3 = (7/4) * 3 = (7 * 3) / 4 = 21/4
So, the expression 7/4(8h+3) expands to 14h + 21/4.
To expand the expression 7/4(8h+3), we'll follow the order of operations, which is commonly known as PEMDAS.
1. First, we need to simplify the parentheses. Inside the parentheses, we have 8h + 3.
2. Next, we'll distribute the 7/4 to each term inside the parentheses. This means we multiply 7/4 by both 8h and 3 separately.
To simplify the multiplication, we multiply the numerator (7) by each term individually, while the denominator (4) remains unchanged.
Let's break it down step by step:
Expression: 7/4(8h + 3)
1. Distribute 7/4 to 8h:
(7/4) * 8h = 56h/4
2. Distribute 7/4 to 3:
(7/4) * 3 = 21/4
After distributing, the expression becomes:
56h/4 + 21/4
Note: If the numerator and denominator have a common factor, it is good practice to simplify further. In this case, the numerator (56) and denominator (4) both have a common factor of 4.
Let's reduce the fractions:
56h/4 + 21/4 = (56h + 21)/4
Therefore, the expanded form of 7/4(8h+3) is (56h + 21)/4.