Question

Factor out the coefficient of the variable term.

$\frac{3}{8}d+\frac{3}{4}$

Answer 1

Step 1: We have given expression is $\frac{3}{8}d+\frac{3}{4}$

This expression has two terms:

$$\begin{gathered} \frac{3}{8}d=\frac{3}{4}\times \frac{1}{2}\times d \\ \frac{3}{4}=\frac{3}{4}\times 1 \end{gathered}$$

Using the Distributive property to factor out the common term $\frac{3}{4}$

$$\begin{gathered} \frac{3}{8}d+\frac{3}{4}=\left(\frac{3}{4}\times \frac{1}{2}\times d+\frac{3}{4}\times 1\right)\{Rewritetheexpression\} \\ =\frac{3}{4}\left(\frac{d}{2}+1\right)\{Distributiveproperty\} \end{gathered}$$

Final Answer: $\frac{3}{4}\left(\frac{d}{2}+1\right)$