**1 3/4 + 2/3 as a Fraction**

In this article, we will learn how to add two mixed numbers, 1 3/4 and 2/3, and express the result as a single fraction.

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

Before we can add the two 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.

**1 3/4 = ?**

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**.

**2/3 = ?**

The second mixed number, 2/3, is already an improper fraction. However, we can rewrite it with a common denominator (12) to make it easier to add:

**2/3 = 8/12**

**Step 2: Add the Improper Fractions**

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

**7/4 + 8/12 = ?**

To add these fractions, we need to find a common denominator, which is 12. We can convert 7/4 to 21/12 by multiplying both the numerator and denominator by 3:

**7/4 = 21/12**

Now we can add the two fractions:

**21/12 + 8/12 = 29/12**

**Step 3: Simplify the Result**

The resulting fraction, 29/12, is already in its simplest form. Therefore, the final answer is:

**1 3/4 + 2/3 = 29/12**

There you have it! We have successfully added 1 3/4 and 2/3 as fractions and expressed the result as a single fraction, 29/12.