The first thing we should do is turn our mixed number into an improper fraction. To do this, you should multiply the whole number by the denominator, and then add the numerator and place it over the denominator.
Now our problem is 1/3+5/2. Now, we need to find the least common denominator, which is the lowest proportion where these fractions have the same denominator.
Here, we will just multiply the numerator and denominator by 2 and 3, respectively
1/3+5/2 = 2/6+15/6
Now, it is as simple as adding the numerators.
2/6+15/6=17/6
No simplification is needed, so we know this expression is equal to 17/6 or 2 5/6.