1/2(x+4)+1/4(4x-2) answer should be in mixed number form

Answer 1

To express the answer in mixed number form, let's simplify the given expression first:

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

Distribute the fractions to both terms inside the parentheses:

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

Now carry out the multiplications:

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

Combine like terms:

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

Since (1/2)x is the same as 0.5x, you can add it to x (which is 1x) like this:

= 0.5x + 1x + 2 - 0.5
= 1.5x + 1.5

If we are allowed to leave the answer as an expression with a decimal, then 1.5x + 1.5 is the simplified form. If you need this as a mixed number, we would have to have a specific value for x to calculate and express the result properly, because as it stands, the expression involves a variable and cannot be expressed as a mixed number.

However, if we must express the coefficient as a mixed number, we can convert the decimal 1.5 to a fraction, which would be 3/2 or 1 1/2. So the expression would be:

= 1 1/2 x + 1 1/2

This expression now has the coefficients in mixed number form.