**7 1/2 divided by 1 1/3 as a Fraction**

To evaluate the expression 7 1/2 divided by 1 1/3, we need to follow the order of operations (PEMDAS) and perform the division operation.

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

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

7 1/2 = 15/2 ( multiply 7 by 2 and add 1) 1 1/3 = 4/3 (multiply 1 by 3 and add 1)

**Step 2: Divide the Fractions**

Now, divide the two fractions:

(15/2) ÷ (4/3) = ?

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

(15/2) × (3/4) = ?

**Step 3: Multiply the Fractions**

Multiply the numerators (15 × 3 = 45) and multiply the denominators (2 × 4 = 8):

45/8

**Final Answer**

Therefore, 7 1/2 divided by 1 1/3 as a fraction is:

**45/8**

So, the final answer is 45/8.