Question

Factor out the coefficient of the variable term.

$\frac{3}{8}z+1$

Answer 1

We have given expression is $\frac{3}{8}z+1$

This expression has two terms:

$$\begin{gathered} \frac{3}{8}z=\frac{1}{8}\times 3\times z \\ 1=\frac{1}{8}\times 8 \end{gathered}$$

Using the Distributive property to factor out the common term $\frac{1}{8}$

$$\begin{gathered} \frac{3}{8}z+1=\left(\frac{1}{8}\times 3\times z+\frac{1}{8}\times 8\right)\{\mathrm{Rewrite}\mathrm{the}\mathrm{expression}\} \\ =\frac{1}{8}(3z+8)\{\mathrm{Distributive}\mathrm{property}\} \end{gathered}$$

Hence, the required answer is $\frac{1}{8}(3z+8)$.