**7 1/2 Divided by 3 1/8 in Fraction Form**

To divide mixed numbers, we need to follow a specific set of steps. In this case, we want to find the result of dividing 7 1/2 by 3 1/8 in fraction form.

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

First, let's convert both mixed numbers to improper fractions.

### 7 1/2

To convert 7 1/2 to an improper fraction, we multiply the whole number part (7) by the denominator (2) and then add the numerator (1).

**7 × 2 = 14**
**14 + 1 = 15**

So, 7 1/2 is equal to 15/2.

### 3 1/8

To convert 3 1/8 to an improper fraction, we multiply the whole number part (3) by the denominator (8) and then add the numerator (1).

**3 × 8 = 24**
**24 + 1 = 25**

So, 3 1/8 is equal to 25/8.

**Step 2: Divide the Improper Fractions**

Now, we can divide the two improper fractions.

**15/2 ÷ 25/8**

To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply.

**15/2 × 8/25**

**Step 3: Simplify the Result**

Now, we can simplify the result.

**120/50**

We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).

**GCD of 120 and 50 is 10**

**120 ÷ 10 = 12**
**50 ÷ 10 = 5**

So, the result of dividing 7 1/2 by 3 1/8 in fraction form is **12/5**.

**Final Answer**

Therefore, 7 1/2 divided by 3 1/8 is equal to **12/5** in fraction form.