Solve Fraction Subtraction: 10/13 minus 5/13 Step-by-Step

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

• Step 1: Identify the given fractions and ensure they have a common denominator.
• Step 2: Subtract the numerators while keeping the denominator the same.
• Step 3: Simplify the result if necessary.

Let's work through each step:
Step 1: The fractions given are $\frac{10}{13}$ and $\frac{5}{13}$, both having a denominator of 13.
Step 2: Apply the subtraction formula for fractions with common denominators: $\frac{10}{13} - \frac{5}{13} = \frac{10 - 5}{13} = \frac{5}{13}$ Step 3: No further simplification is needed since $\frac{5}{13}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{5}{13}$.