Question

How do you simplify `\frac { 2} { 3} + \frac { x } { 2}`?

Answer 1

See the entire solution process below:

Explanation:

First, multiply each fraction by the appropriate form of 1 to put each fraction over a common denominator without changing the value of the fraction:

`2/3 + x/2 -> (2/2 xx 2/3) + (3/3 xx x/2) -> (2 xx 2)/(2 xx 3) + (3 xx x)/(3 xx 2) ->`

`4/6 + (3x)/6`

Now, add the numerators over the common denominator:

`4/6 + (3x)/6 -> (4 + 3x)/6`