Subtract 1/2(z+4)−3(1/4z+1) . Use fractions in final form. corerect answer
To subtract 1/2(z+4)−3(1/4z+1), we need to distribute the negative sign to both terms inside the parentheses:
1/2(z+4) = 1/2z + 2
3(1/4z + 1) = 3/4z + 3
Now, subtract the two terms:
(1/2z + 2) - (3/4z + 3)
To combine fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 4.
(1/2z + 2) - (3/4z + 3) = (2/4z + 2) - (3/4z + 3)
Next, combine like terms:
(2/4z + 2) - (3/4z + 3) = (2 - 3)/4z + (2 - 3) = -1/4z - 1
Therefore, the final answer in fraction form is -1/4z - 1.
To subtract 1/2(z+4) - 3(1/4z+1), we will distribute the numbers outside the parentheses to the terms inside.
First, distribute 1/2 to z and 4:
1/2 * z = (1/2)z
1/2 * 4 = (1/2)*4 = 2
Then, distribute 3 to 1/4z and 1:
3 * (1/4z) = (3/1)(1/4z) = 3/4z
3 * 1 = 3
Now, we can rewrite the expression as:
(1/2)z + 2 - 3/4z - 3
Next, we need to combine like terms. Combine (1/2)z and -3/4z:
(1/2)z - 3/4z = (2/4)z - (3/4)z = (2z - 3z)/4 = -z/4
Combine 2 and -3:
2 - 3 = -1
Finally, the expression can be simplified to:
-z/4 - 1
Therefore, the final answer is -z/4 - 1.
To subtract the expression 1/2(z+4) - 3(1/4z+1), we need to distribute the coefficients to the terms inside the parentheses. Let's break it down step by step:
1. Distribute the 1/2 to (z+4):
(1/2) * z = z/2
(1/2) * 4 = 4/2 = 2
The expression becomes (z/2 + 2) - 3(1/4z + 1)
2. Distribute the 3 to (1/4z + 1):
3 * (1/4z) = 3/4z
3 * 1 = 3
The expression becomes (z/2 + 2) - (3/4z + 3)
Now, we can combine like terms:
The expression (z/2 + 2) - (3/4z + 3) can be rewritten as:
z/2 - 3/4z + 2 - 3
We need to find a common denominator for the fractions. In this case, the common denominator is 4, so we multiply the first fraction by 2/2 and the second fraction by 4/4:
2/2 * z/2 = 2z/4
3/4 * 3/4z = 9/16z
The expression becomes:
2z/4 - 9/16z + 2 - 3
Next, we combine the fractions by finding a common denominator, which is 16:
2z/4 - 9/16z + 2 - 3 can be rewritten as:
8z/16 - 9/16z - 1
Finally, we combine like terms:
8z/16 - 9/16z - 1 can be simplified to:
(-1z + 2z)/16 - 1
z/16 - 1
So, the final form of the expression 1/2(z+4) - 3(1/4z+1) is z/16 - 1.