Chapter 7.3, Problem 26CCR

To determine

Write the ratio in simplest form.

Answer to Problem 26CCR

Simplest form: $\frac{\text{Cheetahs}}{\text{lions}}=\frac{2}{3}$

Explanation of Solution

Given: 12 Cheetahs to 18 lions

Concept Used:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). ... Equal quotients correspond to equal ratios.

Calculation:

To find the simplest form, just cancel out the GCF or common factor from both the number.

12 Cheetahs to 18 lions

  $\begin{array}{l}\frac{\text{Cheetahs}}{\text{lions}}=\frac{12}{18}=\frac{(2·6)}{(3·6)}=\frac{2}{3}\\ \frac{\text{Cheetahs}}{\text{lions}}=\frac{2}{3}\end{array}$

Simplest form: $\frac{\text{Cheetahs}}{\text{lions}}=\frac{2}{3}$

Thus, Simplest form: $\frac{\text{Cheetahs}}{\text{lions}}=\frac{2}{3}$