Chapter 7.3, Problem 31CCR

To determine

Write the ratio as a fraction in simplest form.

Answer to Problem 31CCR

Simplest form: $\frac{\text{Boats}}{\text{Cars}}=\frac{1}{4}$

Explanation of Solution

Given: 4 boats to 16 cars

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.

4 boats to 16 cars

  $\frac{\text{Boats}}{\text{Carss}}=\frac{4}{\text{16 }}=\frac{(2·2)}{(2·2·2·2)}=\frac{1}{4}$

Simplest form: $\frac{\text{Boats}}{\text{Cars}}=\frac{1}{4}$

Thus, Simplest form: $\frac{\text{Boats}}{\text{Cars}}=\frac{1}{4}$