Question

factor out the coefficient of the variable term.
the expression \\(\frac{1}{7}a + \frac{1}{7}\\) factored is \\(\square\\).

Explanation:

Step1: Identify the common factor

The coefficient of the variable term \( \frac{1}{7}a \) is \( \frac{1}{7} \), and the constant term is \( \frac{1}{7} \). The common factor is \( \frac{1}{7} \).

Step2: Factor out the common factor

Using the distributive property \( ab + ac = a(b + c) \), we factor out \( \frac{1}{7} \) from \( \frac{1}{7}a + \frac{1}{7} \).

$$ \frac{1}{7}a + \frac{1}{7} = \frac{1}{7}(a + 1) $$

Answer:

\( \frac{1}{7}(a + 1) \)