Question

Simplify the expression $\frac{4w+4}{3}·\frac{1}{w+1}$.

Short answer

The simplified value of expression is $\frac{4}{3}$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression is $\frac{4w+4}{3}·\frac{1}{w+1}$.

Step 2. Simplify the expression.

The given expression $\frac{4w+4}{3}·\frac{1}{w+1}$is simplified as:

$\begin{array}{l}\frac{4w+4}{3}\cdot \frac{1}{w+1}=\frac{4\left(w+1\right)}{3}\cdot \frac{1}{w+1}\\ =\frac{4}{3}\end{array}$

Step 3. Conclusion.

The simplified value of expression is $\frac{4}{3}$.