Question

Factor out the coefficient of the variable term.

$\frac{5}{2}k-2$

Answer 1

We have given expression is $\frac{5}{2}k-2$

This expression has two terms:

$$\begin{gathered} 2=\frac{1}{2}\times 4 \\ \frac{5}{2}k=\frac{1}{2}\times 5\times k \end{gathered}$$

Using the Distributive property to factor out the common term $\frac{1}{2}$

$$\begin{gathered} \frac{5}{2}k-2=\left(\frac{1}{2}\times 5\times k+\frac{1}{2}\times 4\right)\{Rewritetheexpression\} \\ =\frac{1}{2}(5k-4)\{Distributiveproperty\} \end{gathered}$$

Final Answer: $\frac{1}{2}(5k-4)$