Chapter 6, Problem 1CR

To determine

To explain how two ratios are equivalent.

Answer to Problem 1CR

By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent.

Explanation of Solution

Given information:

To explain how two ratios are equivalent.

By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent.

Multiply both numbers in the first ratio by the second number of the second ratio.

For example,

If the ratios are $\frac{3}{5}\text{ and }\frac{9}{15}$ , multiply 3 by 15 and 5 by 15 to get $\frac{45}{75}$ .

Multiply both numbers in the second ratio by the original second number of the first ratio.

In this example,

Multiply 9 by 5 and 15 by 5 to get $\frac{45}{75}$ .

Compare the results. If the results are equal, the ratios are equivalent.