**Adding Mixed Numbers with Unlike Denominators**

In this article, we will learn how to add two mixed numbers with unlike denominators. The specific problem we will solve is:

**1 3/5 + 2 1/5 as a fraction**

**Step 1: Convert the Mixed Numbers to Improper Fractions**

To add these mixed numbers, we need to convert them to improper fractions. An improper fraction is a fraction where the numerator is greater than the denominator.

**1 3/5 = ?**

To convert 1 3/5 to an improper fraction, we multiply the whole number part (1) by the denominator (5) and then add the numerator (3).

1 × 5 = 5 5 + 3 = 8

So, 1 3/5 = **8/5**

**2 1/5 = ?**

Similarly, to convert 2 1/5 to an improper fraction, we multiply the whole number part (2) by the denominator (5) and then add the numerator (1).

2 × 5 = 10 10 + 1 = 11

So, 2 1/5 = **11/5**

**Step 2: Add the Improper Fractions**

Now that we have converted both mixed numbers to improper fractions, we can add them.

**8/5 + 11/5 = ?**

To add these fractions, we need to have the same denominator, which is 5 in this case. We can add the numerators (8 and 11) and keep the denominator the same.

8 + 11 = 19

So, **8/5 + 11/5 = 19/5**

**Step 3: Simplify the Fraction (Optional)**

The resulting fraction **19/5** is already in its simplest form. If you want to convert it back to a mixed number, you can do so.

**19/5 = 3 4/5**

And there you have it! We have successfully added **1 3/5 + 2 1/5 as a fraction**, which equals **3 4/5** or **19/5**.