Question

Factor out the coefficient of the variable term.

$\frac{1}{4}y+\frac{3}{8}$

Answer 1

Step 1:Given expression is = $\frac{1}{4}y+\frac{3}{8}$

We will now find The Factors of $\left(\frac{1}{4}y\right),\left(\frac{3}{8}\right)$

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

Step 2: Use the distributive property to factor out $\frac{1}{4}$

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

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