**Adding Mixed Numbers: 1 3/5 + 1 3/4 as a Fraction**

When dealing with mixed numbers, it can be a bit challenging to perform arithmetic operations. In this article, we will explore how to add 1 3/5 and 1 3/4 as a fraction.

### Converting Mixed Numbers to Improper Fractions

Before we can add these mixed numbers, we need to convert them into improper fractions. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

**Converting 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 is equal to 8/5.

**Converting 1 3/4**

Similarly, to convert 1 3/4 to an improper fraction, we multiply the whole number part (1) by the denominator (4) and then add the numerator (3):

1 × 4 = 4 4 + 3 = 7

So, 1 3/4 is equal to 7/4.

### Adding the Improper Fractions

Now that we have converted both mixed numbers into improper fractions, we can add them:

**8/5 + 7/4**

To add these fractions, we need to find the least common multiple (LCM) of the denominators, which is 20. We can then convert both fractions to have a denominator of 20:

8/5 = 32/20 7/4 = 35/20

Now, we can add the fractions:

32/20 + 35/20 = 67/20

### Simplifying the Result

The result of the addition is 67/20. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 1. Therefore, the simplified result is:

**67/20**

And that's it! We have successfully added 1 3/5 and 1 3/4 as a fraction, which equals 67/20.