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Chapter 7: Problem 36

Divide as indicated. $$\frac{x}{5} \div \frac{20}{x}$$

Short Answer

Expert verified
\(\frac{x^2}{100}\)

Step by step solution

01

Write down the problem

The problem as given is \(\frac{x}{5} \div \frac{20}{x}\)
02

Change the division to multiplication

To divide by a fraction, you multiply by its reciprocal. The reciprocal of \(\frac{20}{x}\) is \(\frac{x}{20}\). So now the problem becomes \(\frac{x}{5} * \frac{x}{20}\)
03

Multiply the numerators and denominators

Now multiply the numerators together and put that product over the product of the denominators. That gives us \(\frac{x * x}{5 * 20}\)
04

Simplify the result

This can be simplified to \(\frac{x^2}{100}\)

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Most popular questions from this chapter

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.. $$Find the missing polynomials: $\quad-\frac{3 x-12}{2 x}=\frac{3}{2}$$

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Factor completely: \(81 x^{4}-1\)

Add or subtract as indicated. Simplify the result, if possible. $$\frac{2}{y+5}+\frac{3}{4 y}$$

When two people work together to complete a job, describe one factor that can result in more or less time than the time given by the rational equations we have been using.
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