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

Answer 1

To subtract these fractions, we first need to simplify each term.

For the first term, we have 1/2(z+4). We distribute the 1/2 to both terms in the parentheses:

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

For the second term, we have 3(1/4z+1). We distribute the 3 to both terms in the parentheses:

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

Now we can subtract the two simplified terms:

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

To simplify this expression, we need a common denominator. The common denominator of 2 and 4 is 4. We can rewrite the expression as:

(1/2z + 2) - (3/4z + 3) = (2/4z + 8/4) - (3/4z + 12/4)

Now we can subtract:

2/4z + 8/4 - 3/4z - 12/4

Combine like terms:

(-4z + 8 - 3z - 12)/4

Simplify the numerator:

(-7z - 4)/4

This is the simplified form of the expression 1/2(z+4) - 3(1/4z+1).