Let's take the longer way of adding 3 and ^{2}/_{5}. By doing so, it will help us to understand adding fractions better. Since 3 is a whole number, we can change it into a fraction as shown:

Step 2

We now have:

Step 3

Now, since these fractions have unlike denominators, we can make the denominators the same by using Equivalent Fractions.

We can do so by multiplying the numerator and denominator of ^{3}/_{1} with 5 as shown below:

Step 4

With the denominators the same, we can now add these fractions together:

Step 5

Notice that ^{17}/_{5} is an improper fraction? Rather than leaving the answer like this, it is better to change it into a mixed fraction.

Step 6

So, we have the answer as 3 ^{2}/_{5}.

Now, with some observations, realize that we can quickly get the answer by just combining the whole number and the fraction together. This is shown below: