Question

subtract 1/2 (z + 4) -3 (1/4z + 1). Use fractions in final form

Answer 1

To simplify the expression, we can start by distributing the negative sign to each term inside the parentheses:

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

This gives us:

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

Now we can simplify each term separately.

-(1/2)z simplifies to -z/2.

-(1/2)(4) simplifies to -2.

-(3)(1/4z) simplifies to -3/4z.

-(3)(1) simplifies to -3.

Combining all the simplified terms, we have:

-z/2 - 2 - 3/4z - 3

To combine the terms -z/2 and 3/4z, we can find a common denominator of 2, so that -z/2 becomes -2z/4:

-2z/4 - 2 - 3/4z - 3

Now we can combine the terms with z:

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

(-5z)/4 - 2 - 3

Now we have:

-5z/4 - 2 - 3

To simplify further, we can combine the constant terms:

-5z/4 - 5

So the simplified expression in final form is:

-5z/4 - 5