Add 1/2 (x+4)+1/4(4x-27) number sould be mixed

1 answer

To simplify the given expression, we can first distribute the fractions:

1/2(x+4) + 1/4(4x-27)

= 1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 27

= (1/2)x + 2/2 + (1/4)4x - (1/4)27

Simplify the fractions:

= (1/2)x + 1 + (1/4)4x - (1/4)27

= (1/2)x + 1 + (1)x - (27/4)

Combine like terms:

= (1/2)x + x + 1 - (27/4)

= (3/2)x + 1 - (27/4)

Find a common denominator and combine fractions:

= (3/2)x + 4/4 - (27/4)

= (3/2)x + (-23/4)

Final answer: (3/2)x - 23/4