Question

In the following exercises, simplify each expression.

$\frac{180}{204}$

Short answer

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" $\frac{180}{204}=\frac{2·2·3·3·5}{2·2·3·17}$

Step 3.  Simplify the fraction.

Divide out the common factors.

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

Step 4. Conclusion.

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