Chapter 7.3, Problem 27CCR

To determine

Write the ratio in simplest form.

Answer to Problem 27CCR

Simplest form: $\frac{\text{Apples}}{\text{Oranges}}=\frac{1}{2}$

Explanation of Solution

Given: 15 apples to 30 oranges

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.

15 apples to 30 oranges

  $\begin{array}{l}\frac{\text{Apples}}{\text{Oranges}}=\frac{15}{\text{30 }}=\frac{(5·3)}{(5·3·2)}=\frac{1}{2}\\ \frac{\text{Apples}}{\text{Oranges}}=\frac{1}{2}\end{array}$

Simplest form: $\frac{\text{Apples}}{\text{Oranges}}=\frac{1}{2}$

Thus, Simplest form: $\frac{\text{Apples}}{\text{Oranges}}=\frac{1}{2}$