Solve the Fraction Addition: 1/7 + 5/7 Step by Step

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

• Step 1: Identify that both fractions have the same denominator of 7.
• Step 2: Add the numerators together: $1 + 5 = 6$.
• Step 3: Place the sum of the numerators over the common denominator.

Now, let's work through the solution:

Step 1: Since both fractions, $\frac{1}{7}$ and $\frac{5}{7}$, have the same denominator, we can directly apply the addition rule for fractions with a common denominator.

Step 2: Add the numerators 1 and 5. Performing this calculation: $1 + 5 = 6$.

Step 3: Place this result over the common denominator of 7. Therefore:

$\frac{1}{7} + \frac{5}{7} = \frac{1+5}{7} = \frac{6}{7}$

Therefore, the solution to the problem is $\frac{6}{7}$.