**Adding Mixed Numbers: 7 1/2 + 4 7/8 as a Fraction**

In this article, we will explore the process of adding mixed numbers, specifically 7 1/2 and 4 7/8, and express the result as a fraction.

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

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

### Convert 7 1/2 to an Improper Fraction

7 1/2 = 7 + 1/2 = (7 x 2) + 1/2 = 14/2 + 1/2 = 15/2

### Convert 4 7/8 to an Improper Fraction

4 7/8 = 4 + 7/8 = (4 x 8) + 7/8 = 32/8 + 7/8 = 39/8

**Step 2: Add the Improper Fractions**

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

### Add the Fractions

15/2 + 39/8 = ?

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 2 and 8 is 8. So, we can convert 15/2 to an equivalent fraction with a denominator of 8.

15/2 = (15 x 4)/(2 x 4) = 60/8

Now, we can add the fractions:

60/8 + 39/8 = 99/8

**Step 3: Simplify the Result**

The final result is an improper fraction, 99/8. We can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 1 in this case.

99/8 = 12 3/8

So, 7 1/2 + 4 7/8 as a fraction is equal to **12 3/8**.