Simplifying a ratio of whole numbers: Problem type 2 Write this ratio as a fraction in simplest form without any units. 24 feet to 5 yards You can use the table below to help convert the units. \begin{tabular}{|c|c|} \hline \multirow{2}{*}{ Length } & 1 foot $=12$ inches \\ \hline & 1 yard $=3$ feet \\ \hline Weight & 1 pound $=16$ ounces \\ \hline \multirow{3}{*}{ Capacity (Volume) } & 1 pint $=2$ cups \\ \hline & 1 quart $=2$ pints \\ \hline & 1 gallon $=4$ quarts \\ \hline \end{tabular}

Step 1 ：Convert 5 yards to feet using the conversion factor 1 yard equals 3 feet: \(5 \text{ yards} \times 3 \frac{\text{feet}}{\text{yard}} = 15 \text{ feet}\)

Step 2 ：Write the ratio of 24 feet to 15 feet as a fraction: \(\frac{24 \text{ feet}}{15 \text{ feet}}\)

Step 3 ：Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3: \(\frac{24 \div 3}{15 \div 3} = \frac{8}{5}\)

Step 4 ：Check the result. The ratio of 24 feet to 5 yards is indeed \(\frac{8}{5}\) when both measurements are in feet. Therefore, the result meets the requirements of the problem.

Step 5 ：\(\boxed{\frac{8}{5}}\) is the final answer.