Problem 3 - Introductory Algebra for College Students

Question

Multiply as indicated. $$\frac{x}{3} \cdot \frac{12}{x+5}$$

Step-by-Step Solution

Answer

The result is \(\frac{12x}{3(x+5)}\).

Step 1: Multiply the Numerators

First, multiply the numerators of the two fractions. So, \(x\) times \(12\) is \(12x\). This will be the numerator of the product.

Step 2: Multiply the Denominators

Next, multiply the denominators of the two fractions. So, \(3\) times \(x+5\) yields \(3(x+5)\). This will be the denominator of the product.

Step 3: Simplify If Necessary

After that, simplify the result, if possible. In this case, no further simplification is required.