Question

How do you multiply `(7x)/(5x+15)*(x+3)/(8)`?

Answer 1

`\frac{7x}{40}`

Explanation:

Observe that you can factor a `5` from the denominator of the first fraction: `5x+15 = 5(x+3)`. Rewriting that fraction with this factorization and cross-simplifying, you have

`\frac{7x}{5\cancel((x+3))}*\frac{cancel(x+3)}{8} = \frac{7x}{5*8} = \frac{7x}{40}`