Question

multiply.
\\(\frac{7}{4x + 28} \cdot \frac{8x + 56}{5}\\)
simplify your answer as much as possible.

Explanation:

Step1: Factor denominators/numerators

Factor $4x+28=4(x+7)$ and $8x+56=8(x+7)$

Step2: Rewrite the expression

$\frac{7}{4(x+7)} \cdot \frac{8(x+7)}{5}$

Step3: Cancel common factors

Cancel $(x+7)$; simplify $\frac{8}{4}=2$
$\frac{7}{1} \cdot \frac{2}{5}$

Step4: Multiply remaining terms

$\frac{7 \times 2}{1 \times 5} = \frac{14}{5}$

Answer:

$\frac{14}{5}$