Solve: Subtracting 2⅝ from 4 - Mixed Number Arithmetic

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

• Step 1: Convert 4 to a fraction that shares a common denominator with $\frac{5}{7}$.
• Step 2: Perform the subtraction.
• Step 3: Simplify the result into a mixed fraction.

Now, let's work through each step:
Step 1: Convert 4 to the fraction form $\frac{28}{7}$, because $\frac{28}{7}$ is equivalent to 4.

Step 2: Subtract the fractions:
$\frac{28}{7} - \frac{5}{7} = \frac{28 - 5}{7} = \frac{23}{7}$.

Step 3: Convert $\frac{23}{7}$ to a mixed fraction.
Divide 23 by 7, which goes 3 times with a remainder of 2. Hence, $\frac{23}{7} = 3\frac{2}{7}$.

Therefore, the solution to the problem is $3\frac{2}{7}$.