Solve: 6 minus 2⅖ - Mixed Number Subtraction Problem

To solve the problem, we need to subtract the mixed number $2\frac{2}{5}$ from 6. We will handle the subtraction in steps:

• Step 1: Break the mixed fraction $2\frac{2}{5}$ into its whole and fractional parts: the whole number is 2, and the fractional part is $\frac{2}{5}$.
• Step 2: Subtract the whole numbers: $6 - 2 = 4$.
• Step 3: Now, we need to subtract the fractional part from 4: $4 - \frac{2}{5}$.
• Step 4: Convert 4 to a fraction with the same denominator as $\frac{2}{5}$.
  This means writing 4 as $\frac{20}{5}$ (since $4 = \frac{20}{5}$).
• Step 5: Perform the subtraction: $\frac{20}{5} - \frac{2}{5} = \frac{18}{5}$.
• Step 6: Convert $\frac{18}{5}$ back to a mixed number.
  Divide 18 by 5: 18 divided by 5 is 3 with a remainder of 3. This gives the mixed number $3\frac{3}{5}$.

Therefore, the final result of $6 - 2\frac{2}{5}$ is $\mathbf{3\frac{3}{5}}$.