Solve Mixed Number Subtraction: 1⅔ - 1⅓

To solve this problem, we'll follow these steps:

• Step 1: Decompose each mixed number into its whole and fractional parts.
• Step 2: Subtract the whole numbers.
• Step 3: Subtract the fractional parts having the same denominator.
• Step 4: Combine the results to find the final answer.

Now, let's work through each step:

Step 1: Decompose the mixed numbers.
- The first mixed number is $1\frac{2}{3}$, which can be expressed as the whole number 1 and the fraction $\frac{2}{3}$.
- The second mixed number is $1\frac{1}{3}$, which can be expressed as the whole number 1 and the fraction $\frac{1}{3}$.

Step 2: Subtract the whole numbers.
- Subtract the whole numbers: $1 - 1 = 0$.

Step 3: Subtract the fractional parts.
- Subtract the fractions: $\frac{2}{3} - \frac{1}{3} = \frac{1}{3}$.

Step 4: Combine the results.
- Since the whole number result is 0, the result of the fractional subtraction $\frac{1}{3}$ is the final answer.

Therefore, the solution to the problem is $\frac{1}{3}$.