Subtract: 1/2(z+4)-3(1/4z+1) use fractions in final form
To subtract the expression 1/2(z+4) - 3(1/4z+1), we need to distribute the negative sign in front of the 3 to both terms inside the parentheses.
1/2(z+4) - 3(1/4z+1)
= 1/2 * z + 1/2 * 4 - 3 * 1/4 * z - 3 * 1
= 1/2 * z + 2/2 - 3/4 * z - 3
Next, we can simplify the fractions by finding a common denominator.
Since the denominator of 2 is 2 and the denominator of 4 is 4, the least common denominator is 4. Therefore, we need to multiply the first fraction by 2/2, and the fourth fraction by 4/4.
= 2/4 * z + 2/2 - 3/4 * z - 12/4
Simplifying the numerators:
= (2z + 2 - 3z - 12)/4
Combining like terms:
= (-z - 10)/4
Therefore, the final simplified form of 1/2(z+4) - 3(1/4z+1) is (-z - 10)/4.