Question

Bot, Subtract 1/2(z+4)−3(1/4z+1) . Use fractions in final form.(1 point)

Answer 1

To subtract 1/2(z+4)−3(1/4z+1), we will apply the distributive property by multiplying the coefficients with the terms inside the parentheses separately.

1/2(z+4) = (1/2)*z + (1/2)*4 = 1/2z + 2

3(1/4z+1) = 3*(1/4)*z + 3*(1/4)*1 = 3/4z + 3/4

Now, we can subtract the two expressions:

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

To combine like terms, we need to have common denominators for the fractions. The common denominator for 2 and 3/4 is 4.

1/2z + 8/4 - (3/4z + 3/4)

Simplifying further:

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

Now, we can combine the like terms:

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

To add or subtract fractions, we need common denominators. The common denominator for 2 and 3/4 is 4.

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

8/4 - (3/4z) + 2 - 3/4

Now, we can simplify:

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

Combining like terms:

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

The final answer is:

4 - 3/4z - 3/4