add:1/2(x+4)+1/4(4x-2) answer in mixed number

1 answer

To solve this equation and present the answer as a mixed number, we need to simplify the expression first.

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

Using the distributive property, we can distribute the fractions:

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

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

Simplifying the fractions, we have:

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

Now, let's combine like terms:

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

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

= (3/2)x + 1/2

The equation in fraction form is (3/2)x + 1/2.

To present it as a mixed number, we can convert the fraction into a mixed number. The fraction (3/2) can be expressed as 1 1/2.

Thus, the answer in mixed number form is 1 1/2x + 1/2.