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Chapter 7: Problem 34

Divide as indicated. $$\frac{x}{3} \div \frac{3}{8}$$

Short Answer

Expert verified
The result is \(\frac{8x}{9}\).

Step by step solution

01

Identify the given fractions

The given fractions are \(\frac{x}{3}\) and \(\frac{3}{8}\).
02

Change the division to multiplication

When you divide by a fraction, you actually multiply by its reciprocal. So the problem becomes \(\frac{x}{3} \times \frac{8}{3}\).
03

Multiplication of fractions

Each fraction is then multiplied fraction by fraction. This results in the equation \(\frac{x \times 8}{3 \times 3}\).
04

Simplify the fractions

Upon simplifying the fractions, it results in \(\frac{8x}{9}\).

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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. $$\frac{4-x}{x-9}-\frac{3 x-8}{9-x}$$

add or subtract as indicated. Simplify the result, if possible. $$\frac{3 y^{2}-2}{3 y^{2}+10 y-8}-\frac{y+10}{3 y^{2}+10 y-8}-\frac{y^{2}-6 y}{3 y^{2}+10 y-8}$$

denominators are opposites, or additive inverses. Add or subtract as indicated. Simplify the result, if possible. $$\frac{y}{y-4}-\frac{4}{4-y}$$

Solve: \(x^{2}-12 x+36=0 .\) (Section 6.6, Example 4)

What are similar triangles?
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