**1 3/4 plus 1 3/4: Understanding Mixed Numbers Addition**

When it comes to adding mixed numbers, it can be a bit tricky. In this article, we will explore how to add 1 3/4 and 1 3/4, and also provide a step-by-step guide on how to perform the calculation.

**What are Mixed Numbers?**

A mixed number is a combination of a whole number and a fraction. It is written in the form of a whole number followed by a fraction, such as 1 3/4. In this example, 1 is the whole number and 3/4 is the fraction.

**Adding 1 3/4 and 1 3/4**

To add 1 3/4 and 1 3/4, we need to follow these steps:

### Step 1: Convert Both Mixed Numbers to Improper Fractions

An improper fraction is a fraction where the numerator is greater than or equal to the denominator. We can convert both mixed numbers to improper fractions as follows:

**1 3/4 = 7/4**
**1 3/4 = 7/4**

### Step 2: Add the Improper Fractions

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

**7/4 + 7/4 = 14/4**

### Step 3: Simplify the Fraction

We can simplify the fraction 14/4 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:

**14/4 = 7/2**

### Step 4: Convert the Improper Fraction Back to a Mixed Number

Finally, we can convert the improper fraction 7/2 back to a mixed number:

**7/2 = 3 1/2**

Therefore, **1 3/4 plus 1 3/4 is equal to 3 1/2**.

**Conclusion**

Adding mixed numbers can be a bit challenging, but by following the steps outlined above, you can master this skill. Remember to convert both mixed numbers to improper fractions, add them, simplify the fraction, and finally convert it back to a mixed number. With practice, you'll become proficient in adding mixed numbers in no time!