Solve Mixed Number Subtraction: 2⅓ - 1⅔ Step-by-Step

To solve the problem $2\frac{1}{3} - 1\frac{2}{3}$, we'll perform the following steps:

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

To calculate $\frac{1}{3} - \frac{2}{3}$:

Since the fractions have a common denominator, subtract only the numerators:
$1 - 2 = -1$.
Therefore, $\frac{1}{3} - \frac{2}{3} = -\frac{1}{3}$.

Now combine the results:

The subtraction results in $1 - \frac{1}{3}$.

To simplify, note $1 = \frac{3}{3}$.

Thus, $1 - \frac{1}{3} = \frac{3}{3} - \frac{1}{3} = \frac{2}{3}$.

Therefore, the solution to $2\frac{1}{3} - 1\frac{2}{3}$ is $\frac{2}{3}$.