To solve the given equation \(7 \times \frac{1}{7} = 1\), we need to verify if the left-hand side equals the right-hand side. This involves performing the multiplication on the left-hand side and checking if it simplifies to 1.
Step 1: Simplify the Left-Hand Side
To verify the equation \(7 \times \frac{1}{7} = 1\), we first simplify the left-hand side:
\[
7 \times \frac{1}{7} = 1
\]
Step 2: Compare Both Sides
Next, we compare the simplified left-hand side to the right-hand side:
\[
1 = 1
\]
Final Answer
Since both sides of the equation are equal, the equation holds true. Therefore, the final answer is:
\[
\boxed{1}
\]