Expand 7/4(8h + 3
To expand the expression 7/4(8h + 3), we can distribute the 7/4 to both terms inside the parentheses.
So, we have:
7/4(8h) + 7/4(3)
Now, we can simplify each term separately.
For the first term, we multiply the coefficient 7/4 by 8h:
(7/4)(8h) = (7 * 8h) / 4 = (56h) / 4 = 14h
For the second term, we multiply the coefficient 7/4 by 3:
(7/4)(3) = (7 * 3) / 4 = 21 / 4 = 5.25
Therefore, the expansion of 7/4(8h + 3) is 14h + 5.25.
To expand the expression 7/4(8h + 3), we can distribute the fraction 7/4 to both terms inside the parentheses.
First, distribute the fraction to the first term, 8h:
(7/4) * (8h) = (7 * 8h) / 4 = 56h / 4 = 14h
Next, distribute the fraction to the second term, 3:
(7/4) * 3 = (7 * 3) / 4 = 21 / 4
Therefore, the expanded expression is:
14h + 21/4
To expand the expression 7/4(8h + 3), we need to apply the distributive property, which states that for any real numbers a, b, and c, a(b + c) is equal to ab + ac.
In this case, 7/4 is multiplied by the expression (8h + 3). To apply the distributive property, we need to distribute 7/4 to both terms inside the parentheses:
7/4 * 8h + 7/4 * 3
Now let's simplify each term separately:
To multiply 7/4 by 8h, we can multiply the numerators (7 * 8) and the denominators (4). This gives us:
56h/4
Simplifying the numerator and denominator, we have:
14h
Next, we multiply 7/4 by 3:
7/4 * 3 = 21/4
So the expression 7/4(8h + 3) expands to:
14h + 21/4
Alternatively, if you meant to ask for the simplification of the divided fraction (7/4) times the expression (8h + 3), that would be calculated in the following way:
To multiply a fraction by an expression, we need to apply the distributive property. We multiply each term of the expression by the fraction:
(7/4) * 8h + (7/4) * 3
Now let's multiply:
(7 * 8h) / (4) + (7 * 3) / (4)
56h / 4 + 21 / 4
Combining these fractions, we get:
(56h + 21) / 4