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Chapter 7: Problem 3

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

Short Answer

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

Step by step solution

01

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.
02

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.
03

Simplify If Necessary

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

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Most popular questions from this chapter

denominators are opposites, or additive inverses. Add or subtract as indicated. Simplify the result, if possible. $$\frac{2 x}{x^{2}-y^{2}}+\frac{2 y}{y^{2}-x^{2}}$$

Use similar triangles to solve. A tree casts a shadow 12 feet long. At the same time, a vertical rod 8 feet high casts a shadow 6 feet long. How tall is the tree? (IMAGE CANNOT COPY)

perform the indicated operation or operations. Simplify the result, if possible. $$\frac{2 y}{y-5}-\left(\frac{2}{y-5}+\frac{y-2}{y-5}\right)$$

Add or subtract as indicated. Simplify the result, if possible. $$\frac{4}{x}+\frac{3}{x-5}$$

Graph: \(y=-\frac{2}{3} x+4 .\) (Section 3.4, Example 3)
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