Subtract 1/2 (z+4)-3(1/4z+1) use fractions and final form

Answer 1

To subtract the fractions, we need to find a common denominator. The common denominator for 2, 4, and 1 is 4.

Rewriting the given expression with a common denominator:

1/2 (z+4) - 3(1/4z+1) = 1/2 (z+4) - (3/4)(z+1)

Now, let's distribute:

= (1/2)(z) + (1/2)(4) - (3/4)(z) - (3/4)(1)

= 1/2z + 2/2 - 3/4z - 3/4

Simplifying the expression further:

= (1/2z - 3/4z) + (2/2 - 3/4)

Combining like terms:

= (2z/4 - 3z/4) + (4/4 - 3/4)

= (2z - 3z) / 4 + (1/4)

= -z/4 + 1/4

The final form of the expression is -z/4 + 1/4.