Chapter 1: Q 479. (page 95)

In the following exercises, simplify each expression.
$\frac{180}{204}$

Short Answer

Expert verified

The simplified expression is $\frac{15}{17}$ .

Step by step solution

Step 1. Given Information.

The given expression is $\frac{180}{204}$ .

Step 2. Use the prime factorization for 180 and 204.

Rewrite the $180$ and $204$ as the product of the primes.

localid="1644066640081"

\frac{180}{204} = \frac{2 \cdot 2 \cdot 3 \cdot 3 \cdot 5}{2 \cdot 2 \cdot 3 \cdot 17}

Step 3. Simplify the fraction.

Divide out the common factors.

$\frac{2 \cdot 2 \cdot 3 \cdot 3 \cdot 5}{2 \cdot 2 \cdot 3 \cdot 17} = \frac{3 \cdot 5}{17} = \frac{15}{17}$

Step 4. Conclusion.

The simplified form of the given expression is $\frac{15}{17}$

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In the following exercises, simplify each expression.
$\frac{180}{204}$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Use the prime factorization for 180 and 204.

Step 3. Simplify the fraction.

Step 4. Conclusion.

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In the following exercises, simplify each expression.180204

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Use the prime factorization for 180 and 204.

Step 3. Simplify the fraction.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Applied Mathematics

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Study anywhere. Anytime. Across all devices.

In the following exercises, simplify each expression.
$\frac{180}{204}$