### Adding Fractions Practice #### Question 1

What is the resulting fraction when we add: Give the answer in the simplest form. A. 2 3/5
B. 3 5/2
C. 3 2/5
D. 5 2/3

### Step by Step Solution

• #### Step 1

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: Clearly, the answer is C.