Question

Factor out the coefficient of the variable term.

$\frac{1}{2}q+\frac{5}{2}$

Answer 1

We have given expression $\frac{1}{2}q+\frac{5}{2}$

We will now find the factors of $\left(\frac{1}{2}q\right),\left(\frac{5}{2}\right)$

$$\begin{gathered} \frac{1}{2}q=\frac{1}{2}\times q \\ \frac{5}{2}=\frac{1}{2}\times 5 \end{gathered}$$

Using the distributive property to factor out $\frac{1}{2}$

$$\begin{gathered} \frac{1}{2}q+\frac{5}{2}=\left(\frac{1}{2}\times q+\frac{1}{2}\times 5\right)\{Rewritetheterms\} \\ =\frac{1}{2}(q+5)\{Distributiveproperty\} \end{gathered}$$

Hence the factors of expression is $\frac{1}{2}(q+5)$