Question

Factor out the coefficient of the variable term.

$\frac{1}{7}a+\frac{1}{7}$

Answer 1

Factorization:

We have given expression is $\frac{1}{7}a+\frac{1}{7}$

This expression has two terms:
$$\begin{gathered} \frac{1}{7}a=\frac{1}{7}\times a \\ \frac{1}{7}=\frac{1}{7}\times 1 \end{gathered}$$

Using the Distributive property to factor out the common term $\frac{1}{7}$

$$\begin{gathered} \frac{1}{7}a+\frac{1}{7}=\left(\frac{1}{7}\times a+\frac{1}{7}\times 1\right)\{Rewritetheexpression\} \\ =\frac{1}{7}(a+1)\{Distributiveproperty\} \end{gathered}$$

Final Answer: $\frac{1}{7}(a+1)$