Question

use dimensional analysis to convert the quantity to the indicated units. 24 in. to yd. yd (round to the nearest hundredth as needed.) 12 inches (in.) = 1, 3 feet = 1, 36 inches = 1, 5280 feet = 1

Explanation:

Step1: Identify conversion factor

We know that 36 inches = 1 yard.

Step2: Set up conversion

We want to convert 24 inches to yards. Let \(x\) be the number of yards. We set up the proportion \(\frac{24\text{ in}}{x\text{ yd}}=\frac{36\text{ in}}{1\text{ yd}}\). Cross - multiplying gives \(x=\frac{24}{36}\text{ yd}\).

Step3: Simplify the fraction

\(x = \frac{24}{36}=\frac{2}{3}\approx0.67\text{ yd}\)

Answer:

0.67