Solve the Fraction Subtraction: 1/2 - 2/8 Step-by-Step

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

• Step 1: Find a common denominator for both fractions.
• Step 2: Convert the fractions to have the same denominator.
• Step 3: Perform the subtraction with the converted fractions.
• Step 4: Simplify the result, if needed.

Now, let's work through each step:
Step 1: The problem gives us the fractions $\frac{1}{2}$ and $\frac{2}{8}$. The denominator $2$ can be converted to $8$ (the denominator of the second fraction) by multiplying by 4.
Step 2: Convert $\frac{1}{2}$ to $\frac{4}{8}$, since $\frac{1 \times 4}{2 \times 4} = \frac{4}{8}$. Now both fractions have a denominator of 8.
Step 3: Perform the subtraction: $\frac{4}{8} - \frac{2}{8} = \frac{4 - 2}{8} = \frac{2}{8}$.
Step 4: Simplify $\frac{2}{8}$ by dividing both numerator and denominator by 2: $\frac{2 \div 2}{8 \div 2} = \frac{1}{4}$.

Therefore, the solution to the problem is $\frac{1}{4}$.