**Dividing Mixed Numbers: 7 1/3 divided by 5 1/2 as a Fraction**

When dividing mixed numbers, it's essential to follow the rules of fraction operations to get the correct result. In this article, we'll explore how to divide 7 1/3 by 5 1/2 and express the result as a fraction.

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

To divide 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.

**7 1/3**

To convert 7 1/3 to an improper fraction, multiply the whole number part (7) by the denominator (3) and then add the numerator (1):

(7 × 3) + 1 = 22

So, 7 1/3 is equivalent to the improper fraction 22/3.

**5 1/2**

Similarly, to convert 5 1/2 to an improper fraction, multiply the whole number part (5) by the denominator (2) and then add the numerator (1):

(5 × 2) + 1 = 11

So, 5 1/2 is equivalent to the improper fraction 11/2.

**Step 2: Divide the Improper Fractions**

Now that we have the improper fractions, we can divide them:

22/3 ÷ 11/2

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

22/3 × 2/11

**Step 3: Simplify the Result**

Multiply the numerators and denominators:

(22 × 2) / (3 × 11) = 44 / 33

The result is an improper fraction. We can simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 11:

44 ÷ 11 = 4 33 ÷ 11 = 3

So, the simplified result is:

**4/3**

Therefore, 7 1/3 divided by 5 1/2 as a fraction is equal to 4/3.