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Chapter 7: Problem 38

Divide as indicated. $$\frac{9}{x} \div \frac{3}{4 x}$$

Short Answer

Expert verified
The solution to \( \frac{9}{x} \div \frac{3}{4x} \) is 12.

Step by step solution

01

Title: Find the Reciprocal

Swap the numerator and denominator in the divisor, \( \frac{3}{4x} \) which results in \( \frac{4x}{3} \). This is known as finding the reciprocal.
02

Title: Multiply the fractions

After changing the operation to multiplication, we need to multiply the two fractions. So, multiply \( \frac{9}{x} \) and \( \frac{4x}{3} \). When multiplying fractions, we simply multiply the numerators together and the denominators together. This results in \( \frac{9 * 4x}{x * 3} \) = \( \frac{36x}{3x} \).
03

Title: Simplify the Result

We simplify the result by canceling out the common factors. In this case, x in the numerator and denominator can be cancelled out. Therefore, \( \frac{36x}{3x} \) simplifies to \( \frac{36}{3} = 12 \).

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Most popular questions from this chapter

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