Chapter 7.3, Problem 30CCR

To determine

Write the ratio in simplest form.

Answer to Problem 30CCR

Simplest form: $\frac{\text{Sheep}}{\text{Goats}}=\frac{3}{5}$

Explanation of Solution

Given: 9 sheep to 15 goats

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.

9 sheep to 15 goats

  $\frac{\text{Sheep}}{\text{Goats}}=\frac{9}{\text{15 }}=\frac{(3·3)}{(3·5)}=\frac{3}{5}$

Simplest form: $\frac{\text{Sheep}}{\text{Goats}}=\frac{3}{5}$

Thus, Simplest form: $\frac{\text{Sheep}}{\text{Goats}}=\frac{3}{5}$