Question

What is the sum? x/x+3 + 3/x+3 + 2/x+3

Answer 1

The correct answer is (x + 5)/(x + 3)

Explanation:

It is given an expression,

x/x+3 + 3/x+3 + 2/x+3

From the above expression we can see that, sum of three fractions

To find the sum

The above expression is sum of three fraction. The denominators are same which is (x + 3)

So we can add numerators

x/x+3 + 3/x+3 + 2/x+3 = ( x + 3 + 2)/(x + 3) = (x + 5)/(x + 3)

Therefore the correct answer is (x + 5)/(x + 3)

Answer 2

Answer:
`(x+5)/(x+3)`

Explanation:

The problem gives you the following expression:

`(x)/(x+3)+(3)/(x+3)+(2)/(x+3)`

Therefore, to add the fractions with equal denominator, you must rewrite the denominator (x+3) and add the numerators of each one of the fractions.

Then, keeping the above on mind, you obtain the sum shown below (You must remember to add the like terms):

`(x+3+2)/(x+3)=(x+5)/(x+3)`